HMH Go Math

Go Math Grade 4 Chapter 3 Answer Key Pdf: Do you want real-time learning for your students? Then, you must follow Go Math Grade 4 Answer Key Chapter 3 Multiply 2-Digit Numbers. The unlimited practice with different question types and detailed explanation. HMH Go Math Grade 4 Chapter 3 Multiply 2-Digit Numbers Answer Key is the guide for all students who want to achieve their top grades easily.

Students can learn the easy methods to solve problems using HMH Go Math Grade 4 Answer Key. All the problems are solved per the student’s understanding level and provided every answer with an explanation. Houghton Mifflin Harcourt Go Math Grade 4 Answer key is the one-stop solution for every student who wants to choose the correct path to maths skills.

Multiply 2-Digit Numbers Go Math Grade 4 Chapter 3 Answer Key Pdf

The chapter-wise questions and answers along with mid-chapter solutions and review test questions explanations are given. By solving with the HMH grade 4 Go Math Answer Key, students can get success in solving all kinds of Math problems efficiently. Every problem is mentioned in step-by-step solving. The concepts are very clear and included in an understandable way.

Lesson 1: Multiply by Tens

• Multiply by Tens – Page No. 149
• Multiply by Tens Lesson Check – Page No. 150

Lesson 2: Estimate Products

• Estimate Products – Page No. 153
• Estimate Products Lesson Check – Page No. 154
• Estimate Products Lesson Check 1 – Page No. 155
• Estimate Products Lesson Check 2 – Page No. 156

Lesson 3: Investigate • Area Models and Partial Products

• Area Models and Partial Products – Page No. 159
• Area Models and Partial Products Lesson Check – Page No. 160
• Area Models and Partial Products Lesson Check 1 – Page No. 161
• Area Models and Partial Products Lesson Check 2 – Page No. 162

Lesson 4: Multiply Using Partial Products

• Multiply Using Partial Products – Page No. 165
• Multiply Using Partial Products – Page No. 166
• Multiply Using Partial Products Lesson Check – 167
• Multiply Using Partial Products Lesson Check 1 – 168

Mid-Chapter Checkpoint

• Mid-Chapter Checkpoint – Page No. 169
• Mid-Chapter Checkpoint Lesson Check – Page No. 170
• Mid-Chapter Checkpoint Lesson Check 1 – Page No. 173
• Mid-Chapter Checkpoint Lesson Check 2 – Page No. 174

Lesson 5: Multiply with Regrouping

• Multiply with Regrouping – Page No. 175
• Multiply with Regrouping Lesson Check – Page No. 176

Lesson 6: Choose a Multiplication Method

• Choose a Multiplication Method – Page No. 179
• Choose a Multiplication Method Lesson Check – Page No. 180
• Choose a Multiplication Method Lesson Check 1 – Page No. 181
• Choose a Multiplication Method Lesson Check 2 – Page No. 182

Lesson 7: Problem Solving • Multiply 2-Digit Numbers

• Multiply 2-Digit Numbers – Page No. 185
• Multiply 2-Digit Numbers Lesson Check – Page No. 186
• Multiply 2-Digit Numbers Lesson Check 1 – Page No. 187
• Multiply 2-Digit Numbers Lesson Check 2 – Page No. 188

Review/Test

• Review/Test – Page No. 189
• Review/Test – Page No. 190
• Review/Test – Page No. 191
• Review/Test – Page No. 192
• Review/Test – Page No. 193
• Review/Test – Page No. 194
• Review/Test – Page No. 199
• Review/Test – Page No. 200

Common Core – Page No. 149

Multiply by Tens

Choose a method. Then find the product.

Question 1.
16 × 60 = 960
Use the halving-and-doubling strategy.
Find half of 16: 16 ÷ 2 = 8.
Multiply this number by 60: 8 × 60 = 480
Double this result: 2 × 480 = 960

Answer:
960

Explanation:
Use the halving-and-doubling strategy.
Find half of 16: 16 ÷ 2 = 8.
Multiply this number by 60: 8 × 60 = 480
Double this result: 2 × 480 = 960

Question 2.
80 × 22 = ______

Answer:
1760

Explanation:
By using the place value method, Multiply 80 x 22
You can think of 80 as 8 tens
80 x 22 = (22 x 8) tens
= 176 tens
= 176 x 10 = 1760
80 x 22 = 1760

Go Math Grade 4 Chapter 3 Lesson 3.1 Multiply by Tens Question 3.
30 × 52 = ______

Answer:
1560

Explanation:
Use the Associative Property
You can think of 30 as 3 x 10
30 x 52 = (3 x 10) x 52
= 3 x (10 x 52)
=  3 x 520
= 1560
30 x 52 = 1560

Question 4.
60 × 20 = ______

Answer:
1200

Explanation:
60 x 20
Use the halving and doubling strategy
half of the 60 to make the problem simpler
60/ 2 = 30
Multiply 30 with 20
30 x 20 = 600
Double the 600
2 x 600= 1200
60 x 20 = 1200

Question 5.
40 × 35 = ______

Answer:
1400

Explanation:
By using the Associative Property 40 x 35
You can think of 40 as 4 x 10
40 x 35 = (4 x 10) x 35
= 4  x (10 x 35)
= 4 x 350
= 1400
40 x 35 = 1400

Question 6.
10 × 90 = ______

Answer:
900

Explanation:
By using the place value method, Multiply 10 x 90
You can think of 90 as 9 tens
10 x 90 = (10 x 9) tens
= 90 tens
= 10 x 90 = 900

Question 7.
31 × 50 = ______

Answer:
1,550

Explanation:
Use the place value method to multiply 31 x 50
You can think of 50 as 5 tens
31 x 50 = 31 x 5 tens
= 155 tens
= 1,550
31 x 50 = 1,550

Problem Solving

Question 8.
Kenny bought 20 packs of baseball cards. There are 12 cards in each pack. How many cards did Kenny buy?
______ cards

Answer:
240 cards

Explanation:
From the given data,
Kenny bought 20 packs of basketball cards
There are 12 cards in each pack = 12 x 20 cards
Use the associative property
You can write 20 as 2 x 10
12 x 20 = 12 x (2 x 10)
= (12 x 2) x 10
= (24) x 10
= 240 cards
Kenny bought 240 cards

Question 9.
The Hart family drove 10 hours to their vacation spot. They drove an average of 48 miles each hour. How many miles did they drive in all?
______ miles

Answer:
480 miles

Explanation:
As per the given data,
Hart family drove 10 hours to their vacation spot
Average speed per each hour is = 48 miles
Total miles = 48 x 10
Use the halving and doubling strategy
Half of the 48 to make the problem simpler
48/ 2 = 24
Multiply 24 with 10 = 24x 10 = 240
Double the value = 2 x 240 = 480 miles
Total miles drove by hart family = 480 miles.

Common Core – Page No. 150

Lesson Check

Question 1.
For the school play, 40 rows of chairs are set up. There are 22 chairs in each row. How many chairs are there in all?
Options:
a. 800
b. 840
c. 880
d. 8,800

Answer:
c. 880

Explanation:
As per the given data
For the school play, 40 rows of chairs are available. 22 chairs are available in each row.
Then total chairs in school play are = 22 x 40
By using the place value method
You can think of 40 as 4 tens
22 x 40 = 22 x 4 tens
= 88 tens
= 880
Total chairs in school are = 880

Question 2.
At West School, there are 20 classrooms. Each classroom has 20 students. How many students are at West School?
Options:
a. 40
b. 400
c. 440
d. 4,000

Answer:
b. 400

Explanation:
From the given data,
Total classrooms in west school = 20
Number of students per each classroom = 20
Then, total students at West School = 20 x 20
By using the associative property
You can think of 20 as 2 x 10
20 x 20 = 20 x (2 x 10)
= (20 x 2) x 10
=(40) x 10
=400
Total number of students at West School = 400

Spiral Review

Question 3.
Alex has 48 stickers. This is 6 times the number of stickers Max has. How many stickers does Max have?
Options:
a. 6
b. 7
c. 8
d. 9

Answer:
c. 8

Explanation:
As per the give data,
Alex has 48 stickers
That means, X= 48
This is 6 times the number of stickers max has = Y = 6X = 48
Then, number of stickers with Max = Y = X = 48/6 = 8
Number of stickers with Max = Y = 8 Stickers.

Question 4.
Ali’s dog weighs 8 times as much as her cat. Together, the two pets weigh 54 pounds. How much does Ali’s dog weigh?
Options:
a. 6 pounds
b. 42 pounds
c. 46 pounds
d. 48 pounds

Answer:
d. 48 pounds

Explanation:
From the given data,
Ali’s cat weight = X
Ali’s dog weight = 8 times as much as Ali’s cat = 8X
Together, the two pets weight = (X+8X) = 54 pounds
= 9X = 54 pounds
= X = 54/9 pounds = 6 pounds
Then, Ali’s dog weight = 8X =8 x 6 = 48 pounds.

Question 5.
Allison has 3 containers with 25 crayons in each. She also has 4 boxes of markers with 12 markers in each box. She gives 10 crayons to a friend. How many crayons and markers does Allison have now?
Options:
a. 34
b. 113
c. 123
d. 133

Answer:
b. 113

Explanation:
As per the given data,
Allison has 3 containers with 25 crayons in each = X = 3 x 25 = 75
Allison has 4 boxes of markers with 12 markers in each box = Y = 4 x 12 = 48
Allison gives 10 crayons to a friend = Z = 75-10 = 65
Now, total number of crayons and markers with Allison = Y + Z = 48 + 65 = 113

Question 6.
The state of Utah covers 82,144 square miles. The state of Montana covers 145,552 square miles. What is the total area of the two states?
Options:
a. 63,408 square miles
b. 223,408 square miles
c. 227,696 square miles
d. 966,992 square miles

Answer:
c. 227,696 square miles

Explanation:
From the given data,
The state of Utah covers 82,144 square miles
The state of Montana covers 145,552 square miles
Then, Total area of the two states = 82,144 + 145,552
The total area of two states = 227,696 square miles.

Page No. 153

Question 1.
To estimate the product of 62 and 28 by rounding, how would you round the factors? What would the estimated product be?
about _____

Answer:
1800

Explanation:
By using rounding and mental math
Estimate 62 x 28
Firstly, round each factor
62 x 28
     
60 x 30
Use mental math
6 x 3 = 18
60 x 30 = 1800
So, estimated product of 62 and 28 = 1800

Estimate the product. Choose a method.

Question 2.
96 × 34
Estimate: _____

Answer:
3000

Explanation:
Use mental math and compatible numbers
96 x 34
     
100 x 30
Use mental math
1 x 30 = 30
100 x 30= 3000

Go Math Chapter 3 Grade 4 Lesson 2 Estimate Products Question 3.
47 × $39
Estimate: $ _____

Answer:
2000

Explanation:
Round to the nearest ten
47 x $39
     
50 x $40
50 x $ 4 = $200
50 x $40 = 2000

Question 4.
78 × 72
Estimate: _____

Answer:
5600

Explanation:
Use rounding and mental math
Round each factor
78 x 72
     
80 x 70
Use mental math
8 x 7 = 56
80 x 70 = 5600

Question 5.
41 × 78
Estimate: _____

Answer:
3200

Explanation:
Use compatible numbers and mental math
41 x 78
     
40 x 80
Use mental math
40 x 8 = 320
40 x 80 = 3200

Question 6.
51 × 73
Estimate: _____

Answer:
3500

Explanation:
Round to the nearest ten
51 x 73
     
50 x 70 = 3500

Question 7.
34 × 80
Estimate: _____

Answer:
2400

Explanation:
Round each factor
34 x 80
     
30 x 80
3 x 8 = 240
30 x 80 = 2400

Practice: Copy and Solve Estimate the product. Choose a method.

Question 8.
61 × 31
Estimate: _____

Answer:
1800

Explanation:
Round to the nearest ten
61 x 31
     
60 x 30 = 1800

Go Math Key Answers Estimate Products Lesson 3.2 Question 9.
52 × 68
Estimate: _____

Answer:
3500

Explanation:
Round each factor
52 x 68
     
50 x 70
Use mental math
5 x 7 =35
50 x 70 = 3500

Question 10.
26 × 44
Estimate: _____

Answer:
1200

Explanation:
Round to the nearest tens
26 x 44
     
30 x 40 = 1200

Question 11.
57 × $69
Estimate: $ _____

Answer:
$4200

Explanation:
Round each factor
57 x $69
     
60 x $70
Use mental math
6 x $7 = $42
60 x $70 = $4200

Find two possible factors for the estimated product.

Question 12.
2,800
Type below:
___________

Answer:
2800

Explanation:
Let us consider 7 x 4 = 28
70 x 40 = 2800

Question 13.
8,100
Type below:
___________

Answer:
8,100

Explanation:
Let us take 9 x 9 = 81
90 x 90 = 8,100

Question 14.
5,600
Type below:
___________

Answer:
5,600

Explanation:
Let us consider 7 x 8 = 56
70 x 80 = 5,600

Question 15.
2,400
Type below:
___________

Answer:
2,400

Explanation:
Let us take 4 x 6 = 24
40 x 60 = 2400
Or 3 x 8 = 24
30 x 80 = 2,400

Question 16.
Mr. Parker jogs for 35 minutes each day. He jogs 5 days in week 1, 6 days in week 2, and 7 days in week 3. About how many minutes does he jog?
about _____ minutes

Answer:
about 630 minutes

Explanation:
From the given data,
Mr. Parker jogs per day = 35 minutes
He jogs 5 days in week 1 = 5 x 35 = 175 minutes
6 days in week 2 = 6 x 35 = 210 minutes
7 days in week 3 = 7 x 35 = 245 minutes
Total minutes of jog by Mr. Parker = week 1 + week 2 + week 3
= 175 + 210 + 245
= 630 minutes
So, total minutes of jog by Mr. Parker = 630 minutes

Question 17.
There are 48 beads in a package. Candice bought 4 packages of blue, 9 packages of gold, 6 packages of red, and 2 packages of silver beads. About how many beads did Candice buy?
about _____ beads

Answer:
about 1008 beads

Explanation:
As per the given data,
48 beads are there in a package
Candice bought 4 packages of blue beads = 4 x 48 = 192
9 packages of gold beads = 9 x 48 = 432
6 packages of red beads = 6 x 48 = 288
2 packages of silver beads = 2 x 48 = 96
Total beads bought by Candice = 192 + 432 + 288 + 96
= 1008 beads
So, total beads bought by Candice = 1008.

Page No. 154

Question 18.
On average, a refrigerator door is opened 38 times each day. Len has two refrigerators in his house. Based on this average, about how many times in a 3-week period are the refrigerator doors opened?
about _____ times

Answer:
about 1600 times

Explanation:
From the given data,
On average, a refrigerator door is opened per day = 38 times
3-week period = 7 x 3 = 21
Then, a refrigerator door is opened per 21 days = 21 x 38 = 798 times
Len has 2 refrigerators in his house
Then, two refrigerators door are opened per 21 days = 2 x 798
= 1596 times
So, in a 3 – week period refrigerator door is opened about 1600 times

Question 19.
The cost to run a refrigerator is about $57 each year. About how much will it have cost to run by the time it is 15 years old?
about $ _____

Answer:
1200

Explanation:
As per the data,
The cost to run a refrigerator per each year = $57
Cost to run a refrigerator by the time it is 15 years old = $57 * 15
Round to the nearest tens
$57 x 15
     
$60 x 20
Use mental math
$6 x 2 = 12
$ 60 x 20 = 1200

Question 20.
If Mel opens his refrigerator door 36 times every day, about how many times will it be opened in April? Will the exact answer be more than or less than the estimate? Explain.
Type below:
___________

Answer:
1200

Explanation:
From the given data,
Mel opens his refrigerator door per day = 36 times
Number of days in April month = 30 days
Refrigerator door opened in April month = 36 * 30
Round the factors
36 x 30
     
40 x 30 = 1200

Go Math Grade 4 Chapter 3 Test Question 21.
Represent a Problem What question could you write for this answer? The estimated product of two numbers, that are not multiples of ten, is 2,800.
Type below:
___________

Answer:
2800

Explanation:
Let us take
1.
38 × 21
↓        ↓
40 × 20 = 800
2,800 = 42 x 68
↓    ↓
40 x  70 = 2800

Question 22.
Which is a reasonable estimate for the product? Write the estimate. An estimate may be used more than once.

26 × 48 __________
28 × 21 __________
21 × 22 __________
51 × 26 __________

Answer:
25 x 50 = 1250
30 x 20 = 600
20 x 20 = 400
50 x 25 = 1250

Explanation:
26 x 48 -> 25 x 50 = 1250
28 x 21 -> 30 x 20 = 600
21 x 22 -> 20 x 20 = 400
51 x 26 -> 50 x 25 = 1250

Common Core – Page No. 155

Estimate Products
Estimate the product. Choose a method.

Question 1.
38 × 21
38 × 21
↓       ↓
40 × 20
800

Answer:
800

Explanation:
38 × 21
↓        ↓
40 × 20
800

Question 2.
63 × 19
Estimate: _____

Answer:
1200

Explanation:
63 x 19
     
60 x 20 = 1200
Estimated product of 63 x 19 = 1200

Question 3.
27 × $42
Estimate: $ _____

Answer:
$1000

Explanation:
27 × $42
     
25 x $40 = $1000
Estimated Product of 25 x $ 42 = $1000

Question 4.
73 × 67
Estimate: _____

Answer:
4900

Explanation:
73 × 67
     
70 x 70 = 4900
Estimated Product of 73 x 67 = 4900

Question 5.
37 × $44
Estimate:$ _____

Answer:
$1600

Explanation:
37 × $44
     
40 x $40 = $1600
Estimated Product of 37 x $44 = $1600

Question 6.
85 × 71
Estimate: _____

Answer:
6300

Explanation:
85 × 71
     
90 x 70 = 6300
Estimated Product of 85 x 71 = 6300

Question 7.
88 × 56
Estimate: _____

Answer:
4950

Explanation:
88 × 56
     
90 x 55 = 4950
Estimated Product of 90 x 55 = 4950

Question 8.
97 × 13
Estimate: _____

Answer:
1,000

Explanation:
97 × 13
     
100 x 10 = 1,000

Question 9.
92 × 64
Estimate: _____

Answer:
5850

Explanation:
92 × 64
     
90 x 65 = 5850

Problem Solving

Question 10.
A dime has a diameter of about 18 millimeters. About how many millimeters long would a row of 34 dimes be?
about _____ millimeters

Answer:
about 600 millimeters

Explanation:
From the given data,
A dime has a diameter of about 18 millimeters
Then, 34 dimes diameter = 18 * 34
18 x 34
     
20 x 30 = 600
So, 34 dimes have a diameter of about 600 millimeters long

Go Math Grade 4 Chapter 3 Mid Chapter Checkpoint Question 11.
A half-dollar has a diameter of about 31 millimeters. About how many millimeters long would a row of 56 half-dollars be?
about _____ millimeters

Answer:
1800 millimeters

Explanation:
As per the given data,
A half–dollar has a diameter of about 31 millimeters
Then, 56 half-dollars diameter = 31 * 56
31 * 56
     
30 * 60
So, 56 half-dollars have a diameter of about 1800 millimeters long.

Common Core – Page No. 156

Lesson Check

Question 1.
Which is the best estimate for the product
43 × 68?
Options:
a. 3,500
b. 2,800
c. 2,400
d. 280

Answer:
b. 2,800

Explanation:
Round to the nearest tens
43 x 68
     
40 x 70
Use mental math
4 x 7 = 28
40 x 70 = 2800
Estimated product of 43 x 68 = 2800

Question 2.
Marissa burns 93 calories each time she plays fetch with her dog. She plays fetch with her dog once a day. About how many calories will Marissa burn playing fetch with her dog in 28 days?
Options:
a. 4,000
b. 2,700
c. 2,000
d. 270

Answer:
b. 2,700

Explanation:
From the given data,
Marissa burned calories each time when she plays fetch with her dog= 93 calories
Then, Marissa burned calories in 28 days while playing fetch with her dog = 28 x 93
Round to the nearest tens
28 x 93
     
30 x 90
Then, estimated burned calories in 28 days by Marissa = 2700 calories

Spiral Review

Question 3.
Use the model to find 3 × 126.

Options:
a. 368
b. 378
c. 468
d. 478

Answer:
b. 378

Explanation:
From the above Figure,
3 x 126 = 3 x 100 + 3 x 20 + 3 x 6
= 300 + 60 + 18
= 378
3 x 126 = 378

Question 4.
A store sells a certain brand of jeans for $38. One day, the store sold 6 pairs of jeans of that brand. How much money did the store make from selling the 6 pairs of jeans?
Options:
a. $188
b. $228
c. $248
d. $288

Answer:
b. $228

Explanation:
As per the given data,
A store sells a certain brand of jeans for rupees = $38
One day, the store sold 6 pairs of jeans of that brand = 6 x $38
6 x $38 = $228
The total amount of 6 pairs of jeans = $228

Question 5.
The Gateway Arch in St. Louis, Missouri, weighs about 20,000 tons. Which amount could be the exact number of tons the Arch weighs?
Options:
a. 31,093 tons
b. 25,812 tons
c. 17,246 tons
d. 14,096 tons

Answer:
c. 17,246 tons

Explanation:
From the given data,
The Gateway Arch in St.Louis, Missouri weight = about 20,000 tons
From the available options, 17,246 tons is closer to 20,000 tons
Then, the exact number of tons the Arch weighs = 17,246 tons

Question 6.
Which is another name for 23 ten thousands?
Options:
a. 23,000,000
b. 2,300,000
c. 230,000
d. 23,000

Answer:
c. 230,000

Explanation:
As per the data,
Another name for 23 ten thousands = 23 x 10,000
= 230,000
Another name for 23 ten thousand = 2,30,000

Page No. 159

Find the product.

Question 1.
16 × 19

16 × 19 = _____

Answer:
304

Explanation:

16 x 19 = 304

Question 2.
18 × 26

18 × 26 = _____

Answer:
468

Explanation:

200 + 160 + 60 + 48 = 468

Question 3.
27 × 39

27 × 39 = ______

Answer:
1,053

Explanation:

600 + 210 + 180 +63 = 1053

Draw a model to represent the product.
Then record the product.

Question 4.
14 × 16 = ______

Answer:
224

Explanation:

100 + 40 + 60 + 24 = 224

Question 5.
23 × 25 = ______

Answer:
575

Explanation:

400 + 60 + 100 + 15 = 575

Question 6.
Explain how modeling partial products can be used to find the products of greater numbers.
Type below:
__________

Answer:
You can use mental math to find the partial products and then find the sum of the partial products.

Explanation:

Question 7.
Emma bought 16 packages of rolls for a party. There were 12 rolls in a package. After the party there were 8 rolls left over. How many rolls were eaten? Explain.
______ rolls

Answer:
184 rolls were eaten

Explanation:
From the given data,
Emma bought 16 packages of rolls for a party
There were 12 rolls in a package
Then, total rolls = 16 x 12 = 192

100 + 60 + 20 + 12 =192
After the party there were 8 rolls left over
Then, total eaten rolls are = 192 – 8 = 184

Page No. 160

Question 8.
Jamal and Kim used different ways to solve 12 × 15 by using partial products. Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.
Jamal’s Work

100 + 20 + 10 = 130

Kim’s Work

120 + 60 = 180
a. For the answer that is nonsense, write an answer that makes sense.
Type below:
__________

Answer:
a. Jamal’s work makes nonsense.
100 + 20 + 50 + 10 = 180 it makes sense

Question 8.
b. Look at Kim’s method. Can you think of another way Kim could use the model to find the product? Explain.

Type below:
__________

Answer:
Other method: 12 x 15
10 x 12 = 120
5 x 12 = 60
120 + 60 = 180.

Explanation:
Kim follows another method to find 12 x 15
That is, 100 + 50 = 150
20 + 10 = 30
Then, 150 + 30 =180
12 x 15 = 180

Question 9.
Look at the model in 8b. How would the partial products change if the product was 22 × 15? Explain why you think the products changed.
Type below:
__________

Answer:
330

Explanation:
Following the 8b method
22 x 15 =330

200 + 100 = 300
20 + 10 = 30
Now, 300 + 30 = 330
Finally, 22 x 15 = 330
The factor of 15 is increased in present problem. So, the product also increases for 15 x 22.

Common Core – Page No. 161

Area Models and Partial Products

Draw a model to represent the product.
Then record the product.

Question 1.
13 × 42

Answer:

Question 2.
18 × 34 = ______

Answer:

300 + 40 + 240 + 32 = 612

Question 3.
22 × 26 = ______

Answer:

400 + 120 + 40 + 12 = 572

Question 4.
1 5 × 33 = ______

Answer:

300 + 30 + 150 + 15 = 495

Question 5.
23 × 29 = ______

Answer:

400 + 180 + 60 + 27 = 667

Question 6.
19 × 36 = ______

Answer:

300 + 60 + 270 + 54 = 684

Problem Solving

Question 7.
Sebastian made the following model to find the product 17 × 24.

Is his model correct? Explain.
a. yes
b. no

Answer:
b. no

Explanation:

200 + 40 + 140 + 28 = 408

Question 8.
Each student in Ms. Sike’s kindergarten class has a box of crayons. Each box has 36 crayons. If there are 18 students in Ms. Sike’s class, how many crayons are
there in all?
______ crayons

Answer:
648 crayons

Explanation:
From the given information,
Each student in Ms.Sike’s kindergarten class has a box of crayons
Crayons in each box = 36 Crayons
Number of students in Mr.Sike’s class = 18 students
Total crayons = 18 x 36

300 + 60 + 240 + 48 = 648

Common Core – Page No. 162

Lesson Check

Question 1.
Which product does the model below represent?

Options:
a. 161
b. 230
c. 340
d. 391

Answer:
d. 391

Explanation:
200 + 30 + 140 + 21 = 391
17 x 23 = 391

Question 2.
Which product does the model below represent?

Options:
a. 219
b. 225
c. 244
d. 275

Answer:
b. 225

Explanation:
130 + 20 + 65 + 10 = 225
15 x 15 = 225

Spiral Review

Question 3.
Mariah builds a tabletop using square tiles. There are 12 rows of tiles and 30 tiles in each row. How many tiles in all does Mariah use?
Options:
a. 100
b. 180
c. 360
d. 420

Answer:
c. 360

Explanation:
From the given data,
Mariah builds a tabletop using square tiles
The square contains 12 rows of tiles and 30 tiles in each row = 12 x 30
12 x 30 = 360 tiles
Total tiles used by Mariah = 360 tiles

Go Math Answer Key Chapter 3 Review Test Answer Key Question 4.
Trevor bakes 8 batches of biscuits, with 14 biscuits in each batch. He sets aside 4 biscuits from each batch for a bake sale and puts the rest in a jar. How many biscuits does Trevor put in the jar?
Options:
a. 112
b. 80
c. 50
d. 32

Answer:
b. 80

Explanation:
As per the given data,
Number of biscuits baked by Trevor = 8 batches
Number of biscuits in each batch = 14 biscuits
So, total biscuits = 14 x 8 = 112
Trevor sets aside 4 biscuits from each batch for a bake = 8*4 = 32 biscuits are aside for a bake
Trevor kept rest of biscuits in a jar = 112 – 32 = 80
So, 80 biscuits are put in the jar by the Trevor

Question 5.
Li feeds her dog 3 cups of food each day. About how many cups of food does her dog eat in 28 days?
Options:
a. 60 cups
b. 70 cups
c. 80 cups
d. 90 cups

Answer:
c. 80 cups

Explanation:
As per the given data,
Li feeds her dog per day = 3 cups of food
Then, Li feeds her dog for 28 days = 3 x 28
= 84 cups of food
So, Li feeds her dog with 84 cups of food in 28 days

Question 6.
Which symbol makes the number sentence true?
4 ■ 0 = 0
Options:
a. +
b. –
c. ×
d. ÷

Answer:
c. ×

Explanation:
4 x 0 = 0

Page No. 165

Question 1.
Find 24 × 34.


_____

Answer:
816

Explanation:

Question 2.
1 2
× 1 2
——–
_____

Answer:
144

Explanation:

Question 3.
3 1
× 2 4
——-
_____

Answer:
744

Explanation:

Question 4.
2 5
× 4 3
——-
_____

Answer:
1,075

Explanation:

Multiply Using Partial Products Lesson 3.4 Answer Key Question 5.
3 7
× 2 4
——-
_____

Answer:
888

Explanation:

Question 6.
5 4
× 1 5
——-
_____

Answer:
810

Explanation:

Question 7.
8 7
× 1 6
——-
_____

Answer:
1,392

Explanation:

Question 8.
6 2
× 5 6
——-
_____

Answer:
3,472

Explanation:

Question 9.
4 9
× 6 3
——-
_____

Answer:
3,087

Explanation:

Practice: Copy and Solve Record the product.

Question 10.
38 × 47
_____

Answer:
1,786

Explanation:

Question 11.
46 × 27
_____

Answer:
1,242

Explanation:

Question 12.
72 × 53
_____

Answer:
3,816

Explanation:

Question 13.
98 × 69
_____

Answer:
6,762

Explanation:

Multiply Using Partial Products Lesson 3.4 Question 14.
53 × 68
_____

Answer:
3,604

Explanation:

Question 15.
76 × 84
_____

Answer:
6,384

Explanation:

Question 16.
92 × 48
_____

Answer:
4,416

Explanation:

Question 17.
37 × 79
_____

Answer:
2,923

Explanation:

Reason Abstractly Algebra Find the unknown digits. Complete the problem.

Question 18.

Type below:
___________

Answer:
1,824

Explanation:

Question 19.

Type below:
___________

Answer:
7,954

Explanation:

Question 20.

Type below:
___________

Answer:
1,908

Explanation:

Question 21.

Type below:
___________

Answer:
952

Explanation:

Page No. 166

Use the picture graph for 22–24.

Question 22.
Use Graphs A fruit-packing warehouse is shipping 15 boxes of grapefruit to a store in Santa Rosa, California. What is the total weight of the shipment?
______ pounds

Answer:
1275 pounds

Explanation:
From the given data,
A fruit packing warehouse is shipping 15 boxes of grapefruit to store in Santa Rose, California
Grapefruit weight per box = 85 pounds
Total weight of the shipment = 85 x 15

So, the total weight of the shipment = 1275 pounds

Question 23.
How much less do 13 boxes of tangelos weigh than 18 boxes of tangerines?
______ pounds

Answer:
450 pounds

Explanation:
As per the given data,
Tangelos weight per box = 90 pounds
Then, the weight of the 13 boxes of tangelos = 90 x 13

And, the weight of the 18 boxes of tangelos = 90 x 18

1620 – 1170 = 450
So, 13 boxes of tangelos weight are 450 pounds less than 18 boxes of tangelos weight

Question 24.
What is the weight of 12 boxes of oranges?
______ pounds

Answer:
1,080 pounds

Explanation:
The weight of the oranges per box = 90 pounds
then, weight of 12 boxes oranges = 90 x 12

So, weight of 12 boxes oranges = 1,080 pounds

Question 25.
Each person in the United States eats about 65 fresh apples each year. Based on this estimate, how many apples do 3 families of 4 eat each year?
______ apples

Answer:
780 apples

Explanation:
From the given data,
Each person in the united states eats fresh apples per year = 65
3 families of 4 persons = 3 x 4 = 12 persons
Then, the number of apples eat by 12 persons = 65 x 12

So, the total number of apples eat by 12 persons per year = 780

Question 26.
The product 26 × 93 is greater than 25 × 93. How much greater? Explain how you know without multiplying.
______

Answer:
The difference is 93
26 x 93 is one more group of 93 than 25 x 93

Question 27.
Margot wants to use partial products to find 22 × 17. Write the numbers in the boxes to show 22 × 17.

Type below:
__________

Answer:

Explanation:
22 x 17
(20 + 2) x 17
20 x 17 + 2 x 17
20 x (10 + 7) + 2 x (10 + 7)
(20 x 10) + (20 x 7) + (2 x 10) + (2 x 7)

Common Core – Page No. 167

Multiply Using Partial Products

Record the product.

Question 1.
2 3
× 7 9
———
1, 4 0 0
2 1 0
1 8 0
+ 2 7
——–
1, 8 1 7

Answer:
1, 8 1 7

Explanation:
2 3
× 7 9
———
1, 4 0 0
2 1 0
1 8 0
+ 2 7
——–
1, 8 1 7

Question 2.
5 6
× 3 2
——-
_______

Answer:
1,792

Explanation:

Question 3.
8 7
× 6 4
——-
_______

Answer:
5,568

Explanation:

Question 4.
3 3
× 2 5
——-
_______

Answer:
825

Explanation:

Question 5.
9 4
× 1 2
——-
_______

Answer:
1,128

Explanation:

Question 6.
5 1
× 7 7
——-
_______

Answer:
3,927

Explanation:

Question 7.
6 9
× 4 9
——-
_______

Answer:
3,381

Explanation:

Question 8.
8 6
× 8 4
——-
_______

Answer:
7,224

Explanation:

Question 9.
9 8
× 4 2
——-
_______

Answer:
4,116

Explanation:

Question 10.
7 3
× 3 7
——-
_______

Answer:
2,701

Explanation:

Question 11.
8 5
× 5 1
——-
_______

Answer:
4,335

Explanation:

Problem Solving

Question 12.
Evelyn drinks 8 glasses of water a day, which is 56 glasses of water a week. How many glasses of water does she drink in a year? (1 year = 52 weeks)
_______ glasses

Answer:
2,912 glasses

Explanation:
As per the given data,
Evelyn drinks 8 glasses of water a day
Evelyn drinks water per week = 56 glasses
Then, the number of glasses per 52 weeks = 52 x 56

Total number of glasses of water drink by Evelyn per year = 2912 glasses of water

Multiply Using Partial Products Lesson 3.4 Answer Key Question 13.
Joe wants to use the Hiking Club’s funds to purchase new walking sticks for each of its 19 members. The sticks cost $26 each. The club has $480. Is this enough money to buy each member a new walking stick? If not, how much more money is needed?
Is the money enough? _______
How much more is needed? _______

Answer:
This amount is not enough to buy walking sticks
Still, $14 amount is needed to buy walking sticks

Explanation:
From the given data,
Joe wants to use the Hiking club funds to purchase new walking sticks for each of its 19 members
Cost per each stick = $26
Total walking sticks cost per 19 members = $26 x 19

Total cost for walking sticks for 19 members = $494
The club has = $480
This amount is not enough to buy walking sticks
Still, $14 amount is needed to buy walking sticks

Common Core – Page No. 168

Lesson Check

Question 1.
A carnival snack booth made $76 selling popcorn in one day. It made 22 times as much selling cotton candy. How much money did the snack booth make selling
cotton candy?
Options:
a. $284
b. $304
c. $1,562
d. $1,672

Answer:
d. $1,672

Explanation:
As per the given data,
A carnival snack booth made popcorn in one day = $76
It made 22 times as much selling cotton candy
Then, total selling cotton candy made by snack booth = $76 x 22

So, $1672 money snack booth will get for selling cotton candy

Question 2.
What are the partial products of
42 × 28?
Options:
a. 800, 80, 40, 16
b. 800, 16
c. 800, 40, 320, 16
d. 80, 16

Answer:
c. 800, 40, 320, 16

Explanation:

So, partial products of 42 x 28 are 800, 40, 320, 16

Spiral Review

Question 3.
Last year, the city library collected 117 used books for its shelves. This year, it collected 3 times as many books. How many books did it collect this year?
Options:
a. 832
b. 428
c. 351
d. 72

Answer:
c. 351

Explanation:
From the given data,
Last year, the number of used books collected by city library by its shelves = 117 books
This year, it collected 3 times as many books = 3 x 117 =351 books
Total number of books collected by the city library for this year = 351 books

Question 4.
Washington Elementary has 232 students. Washington High has 6 times as many students. How many students does Washington High have?
Options:
a. 1,392
b. 1,382
c. 1,292
d. 1,281

Answer:
a. 1,392

Explanation:
As per the given data,
The number of students in Washington elementary = 232 students
Washington High has 6 times as many students = 6 x 232 = 1392
Total number of students in Washington High = 1392 students

Question 5.
What are the partial products of 35 × 7?
Options:
a. 10, 12
b. 21, 35
c. 210, 35
d. 350, 21

Answer:
c. 210, 35

Explanation:
Partial products of 35 x 7 are 210, 35

Question 6.
Shelby has ten $5 bills and thirteen $10 bills. How much money does Shelby have in all?
Options:
a. $15
b. $60
c. $63
d. $180

Answer:
d. $180

Explanation:
From the given data,
Shelby has ten $5 bills and thirteen $10 bills = (10 x $5) + (13 x $10)
= ($50) + ($130)
=$180
Total money with Shelby = $180

Page No. 169

Question 1.
Explain how to find 40 × 50 using mental math.
Type below:
__________

Answer:
200

Explanation:
40 x 50
By using mental math
4 x 5 = 20
40 x 50 = 200

Question 2.
What is the first step in estimating 56 × 27?
Type below:
__________

Answer:
18 centimeters

Explanation:
Round to the nearest values.
So, the first step of the estimated 56 x 27 is rounding to the nearest values that is 60 x 30

Choose a method. Then find the product.

Question 3.
35 × 10 = _____

Answer:
350

Explanation:
By using the place value method
You can take 10 as 1 ten
35 x 10 = 35 x 1 ten
= 35 ten
35 x 10 = 350

Question 4.
19 × 20 = _____

Answer:
380

Explanation:
19 x 20
By using the associative property
You can think of 20 as (2 x 10)
19 x 20 = 19 x (2 x 10)
= (19 x 2) x 10
= 38 x 10
19 x 20 = 380

Question 5.
12 × 80 = _____

Answer:
960

Explanation:
Use the halving and doubling strategy
half of the 80 to make the problem simpler
80/ 2 = 40
Multiply 40 with 12
40*12 = 480
Double the 480
2*480= 960
12*80 = 960

Question 6.
70 × 50 = _____

Answer:
3,500

Explanation:
70 x 50
By using the place value method
You can take 50 as 5 tens
70 x 50 = 70 x 5 tens
= 350 tens
70 x 50 = 3,500

Question 7.
58 × 40 = _____

Answer:
2,320

Explanation:
By using the associative property
You can think of 40 as (4 x 10)
58 x 40 = 58 x (4 x 10)
= (58 x 4) x 10
= 232 x 10
58 x 40 = 2,320

Question 8.
30 × 40 = _____

Answer:
1,200

Explanation:
Use the halving and doubling strategy
half of the 40 to make the problem simpler
40/ 2 = 20
Multiply 20 with 30
20*30 = 600
Double the 600
2*600= 1200
30*40 = 1,200

Question 9.
14 × 60 = _____

Answer:
840

Explanation:
By using the place value method
You can take 60 as 6 tens
14 x 60 = 14 x 6 tens
= 84 tens
14 x 60 = 840

Question 10.
20 × 30 = _____

Answer:
600

Explanation:
By using the associative property
You can think of 30 as (3 x 10)
20 x 30 = 20 x (3 x 10)
= (20 x 3) x 10
= 60 x 10
20 x 30 = 600

Question 11.
16 × 90 = _____

Answer:
1,440

Explanation:
Use the halving and doubling strategy
half of the 90 to make the problem simpler
90/ 2 = 45
Multiply 45 with 16
16*45 = 720
Double the 720
2*720= 1440
16*90 = 1,440

Estimate the product. Choose a method.

Question 12.
81 × 38
Estimate: _____

Answer:
3,200

Explanation:
Round to the nearest tens.
81 is close to 80; 38 is close to 40;
80 x 40 = 3,200

Question 13.
16 × $59
Estimate: $ _____

Answer:
$120

Explanation:
Round to the nearest tens.
16 is close to 20; $59 is close to $60;
Use the mental math to find the product of 20 x $60
2 x $6 = $12
20 x $60 = $120
Estimated product of 16 x $59 = $120

Question 14.
43 × 25
Estimate: _____

Answer:
1,000

Explanation:
Round to the nearest tens.
43 is close to 40; 25 is close to 25;
40 x 25 = 1000
Estimated product of 43 x 25 = 1,000

Question 15.
76 × 45
Estimate: _____

Answer:
3,200

Explanation:
Round to the nearest tens.
76 is close to 80; 45 is close to 40;
Use the mental math
8 x 4 = 32
80 x 40 = 3200
So, the estimated product of 76 x 45 = 3,200

Question 16.
65 × $79
Estimate: _____

Answer:
$4,800

Explanation:
Round to the nearest tens.
65 is close to 60; $79 is close to $80;
Use the mental math
6 x $8 = $48
60 x $80 = $4800
So, estimated product of 65 x $79 = $4,800

Question 17.
92 × 38
Estimate: _____

Answer:
3,600

Explanation:
Round to the nearest tens.
92 is close to 90; 38 is close to 40;
Use the mental math, then
9 x 4 = 36
90 x 40 = 3,600
So, estimated product of 92 x 38 = 3,600

Question 18.
37 × 31
Estimate: _____

Answer:
1,200

Explanation:
Round to the nearest tens.
37 is close to 40; 31 is close to 30;
Use the mental math, then
4 x 3 = 12
40 x 30 = 1,200
So, estimated product of 37 x 31 = 1,200

Question 19.
26 × $59
Estimate: _____

Answer:
$1,800

Explanation:
Round to the nearest tens.
26 is close to 30; $59 is close to $60;
Use the mental math, then
3 x $6 = $18
30 x $60 = $1,800
So, estimated product of 26 x $59 = $1,800

Question 20.
54 × 26
Estimate: _____

Answer:
18 centimeters

Explanation:
Round to the nearest tens.
54 is close to 50; 26 is close to 30;
Use the mental math
5 x 3 = 15
50 x 30 = 1,500
So, estimated product of 54 x 26 = 1,500

Question 21.
52 × 87
Estimate: _____

Answer:
4,500

Explanation:
Round to the nearest tens.
52 is close to 50; 87 is close to 90;
Use the mental math
5 x 9 = 45
50 x 90 = 4500
So, estimated product of 52 x 87 = 4,500

Question 22.
39 × 27
Estimate: _____

Answer:
18 centimeters

Explanation:
Round to the nearest tens.
39 is close to 40; 27 is close to 30;
Use the mental math
4 x 3 = 12
40 x 30 = 1,200
So, estimated product of 39 x 27 = 1,200

Question 23.
63 × 58
Estimate: _____

Answer:
3,600

Explanation:
Round to the nearest tens.
63 is close to 60; 58 is close to 60;
Use the mental math
6 x 6 = 36
60 x 60 = 3,600
So, estimated product of 63 x 58 = 3,600

Page No. 170

Question 24.
Ms. Traynor’s class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class. What is a good estimate for the cost of the students’ field trip?
Type below:
__________

Answer:
18 centimeters

Explanation:
As per the given data,
Ms. Traynor’s class is taking a field trip to the zoo
Cost of the trip for each student = $26
Total number of students in her class = 22
The total cost of the trip for students = $26 x 22
Round to the nearest tens.
26 is close to 30; 22 is close to 20;
Use the mental math
$3 x 2 = $6
$30 x 20 = $600
Then, the total estimated cost for the trip for students = $600

Go Math Grade 4 Chapter 3 Test Pdf Question 25.
Tito wrote the following on the board. What is the unknown number?

______

Answer:
400

Explanation:
An unknown number is 50 x 8 = 400

Question 26.
What are the partial products that result from multiplying 15 × 32?
Type below:
__________

Answer:
Partial products are 300, 150, 20, 10

Explanation:

Partial products are 300, 150, 20, 10

Question 27.
A city bus company sold 39 one-way tickets and 20 round-trip tickets from West Elmwood to East Elmwood. One-way tickets cost $14. Round trip tickets cost $25. How much money did the bus company collect?
$ ______

Answer:
$1,046

Explanation:
As per the given data,
Number of one – way tickets sold by the city bus company = 39
Round trip tickets from west Elmwood to east Elmwood = 20
Cost of one – way tickets = $14
Then, cost of 39 one – way tickets = 39 x $14 =$546
Cost of round trip tickets = $25
Then, cost of 20 round trip tickets = $25 x 20 = $500
Total money collected by the city bus company = $546 + $500 = $1,046

Page No. 173

Question 1.
Look at the problem. Complete the sentences.
Multiply ____ and ____ to get 0.
Multiply ____ and ____ to get 1,620.
Add the partial products.
0 + 1,620 = ____

_____

Answer:
Multiply 27 and 0 to get 0.
Multiply 27 and 6 to get 1,620.
Add the partial products. 0 + 1,620 = 1,620.

Estimate. Then find the product.

Question 2.
6 8
× 5 3
——-
Estimate: _________
Product: __________

Answer:
Estimate: 3,500
Product: 3,604

Explanation:
68 is closer to 70 and 53 is closer to 50
Estimate: 70 x 50 = 3,500
60 x 53 = 3180
8 x 53 = 424
3180 + 424 = 3604
Product 3,604

Question 3.
6 1
× 5 4
——-
Estimate: _________
Product: __________

Answer:
Estimate: 3,000
Product: 3,294

Explanation:
61 is closer to 60 and 54 is closer to 50
Estimate: 60 x 50 = 3,000
60 x 54 = 3240
1 x 54 = 54
3240 + 54 = 3294
Product 3,294

Question 4.
9 0
× 2 7
——-
Estimate: _________
Product: __________

Answer:
Estimate: 2,700
Product: 2,430

Explanation:
27 is closer to 30
Estimate: 90 x 30 = 2,700
90 x 27 = 2430
Product 2,430

Question 5.
3 0
× 4 7
——-
Estimate: _________
Product: __________

Answer:
Estimate: 1,500
Product: 1,410

Explanation:
47 is closer to 50
Estimate: 30 x 50 = 1,500
30 x 47 = 1410
Product 1,410

Question 6.
7 8
× 5 6
——-
Estimate: _________
Product: __________

Answer:
Estimate: 4,800
Product: 4,368

Explanation:
78 is closer to 80 and 56 is closer to 60
Estimate: 80 x 60 = 4,800
70 x 56 = 3920
8 x 56 = 448
3920 + 448 = 4368
Product 4,368

Question 7.
2 7
× 2 5
——-
Estimate: _________
Product: __________

Answer:
Estimate: 600
Product: 675

Explanation:
27 is closer to 30 and 25 is closer to 20
Estimate: 30 x 20 = 600
20 x 25 = 500
7 x 25 = 175
500 + 175 = 675
Product 675

Practice: Copy and Solve Estimate. Then find the product.

Question 8.
34 × 65
Estimate: _________
Product: __________

Answer:
Estimate: 1,800
Product: 2,210

Explanation:
34 is closer to 30 and 65 is closer to 60
Estimate: 30 x 60 = 1,800
30 x 65 = 1950
4 x 65 = 260
1950 + 260 = 2210
Product 2,210

Question 9.
42 × $13
Estimate: $ _________
Product: $ _________

Answer:
Estimate: $400
Product: $546

Explanation:
42 is closer to 40 and 13 is closer to 10
Estimate: 40 x 10 = 400
40 x $13 = $520
2 x $13= $26
$520 + $26 = $546
Product $546

Question 10.
60 × 17
Estimate: _________
Product: __________

Answer:
Estimate: 1,200
Product: 1,020

Explanation:
17 is closer to 20
Estimate: 60 x 20 = 1,200
60 x 17 = 1020
Product = 1,020

Question 11.
62 × 45
Estimate: _________
Product: __________

Answer:
Estimate: 2,400
Product: 2,790

Explanation:
62 is closer to 60 and 45 is closer to 40
Estimate: 60 x 40 = 2,400
60 x 45 = 2700
2 x 45= 90
2700 + 90 = 2790
Product 2,790

Question 12.
57 × $98
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 6,000
Product: 5,586

Explanation:
57 is closer to 60 and 98 is closer to 100
Estimate: 60 x 100 = 6,000
50 x 98 = 4900
7 x 98= 686
4900 + 686 = 5586
Product 5,586

Look for a Pattern Algebra Write a rule for the pattern.
Use your rule to find the unknown numbers.

Question 13.

Rule _____________
Type below:
_________

Answer:

Explanation:
1 hour = 60 min
Then, 5hr = 5 x 60 = 300 min
10hr = 10 x 60 = 600 min
15hr = 15 x 60 = 900 min
20hr = 20 x 60 = 1200 min
25hr = 25 x 60 = 1500 min

Question 14.
Owners of a summer camp are buying new cots for their cabins. There are 16 cabins. Each cabin needs 6 cots. Each cot costs $92. How much will the new cots cost?
$ _______

Answer:
$8,832

Explanation:
As per the given data,
Owners pf a summer camp are buying new cots for their cabins
Number of cabins = 16
Each cabin needs 6 cots
Then, total cots = 16 x 6 = 96
Each cot cost = $92
Then, cost for total cots = $92 x 96
92 is closer to 90 and 96 is closer to 100
Estimate = 90 x 100 = 9,000
90 x 96 = 8640
2 x 96 = 192
8640 + 192 = 8832
Product = 8,832

Question 15.
A theater has 28 rows of 38 seats downstairs and 14 rows of 26 seats upstairs. How many seats does the theater have?
______ seats

Answer:
1,428 seats

Explanation:
As per the given data,
A theatre has 28 rows of 38 seats downstairs = 28 x 38 = 1064
14 rows of 26 seats upstairs = 14 x 26 = 364
Total number of seats = 1064 + 364 = 1,428 seats

Page No. 174

Question 16.
Machine A can label 11 bottles in 1 minute. Machine B can label 12 bottles in 1 minute. How many bottles can both machines label in 15 minutes?

a. What do you need to know?
Type below:
__________

Answer:
number of bottles labeled by Machine A and Machine B in 15 minutes

Question 16.
b. What numbers will you use?
Type below:
__________

Answer:
15x 11 and 15 x 12

Question 16.
c. Tell why you might use more than one operation to solve the problem.
Type below:
__________

Answer:
To find out the total number of bottle made by both machines A & B

Question 16.
d. Solve the problem.
So, both machines can label ____ bottles in ____ minutes.
Type below:
__________

Answer:
Machine A can label 11 bottles in 1 minute
Then, the number of bottles labeled by machine A in 15 minutes = 15 x 11 = 165
Machine B can label 12 bottles in 1 minute
Then, number of bottles labelled by Machine B in 15 minutes = 15 x 12 = 180
Total bottles labelled by both the machines in 15 minutes = 165 + 180 = 345

Question 17.
Make Sense of Problems
A toy company makes wooden blocks. A carton holds 85 blocks. How many blocks can 19 cartons hold?
______ blocks

Answer:
1,615 blocks

Explanation:
From the given data,
A toy company makes wooden blocks
A carton holds 85 blocks
Then, number of blocks hold by 19 cartons = 19 x 85 = 1615
Total number of blocks held by 19 cartons = 1,615

Question 18.
A company is packing cartons of candles. Each carton can hold 75 candles. So far, 50 cartons have been packed, but only 30 cartons have been loaded on a truck. How many more candles are left to load on the truck?
______ candles

Answer:
1,500 candles

Explanation:
As per the given data,
A company is packing cartons of candles
Each carton can hold 75 candles
Then, number of candles hold by 50 cartons = 50 x 75 = 3750
Number of candles hold by 30 cartons = 30 x 75 = 2250
50 cartons have been packed, but only 30 cartons have been loaded on a truck
Remaining candles are left to load on truck = 3750 – 2250 = 1,500

Question 19.
Mr. Garcia’s class raised money for a field trip to the zoo. There are 23 students in his class. The cost of the trip will be $17 for each student. What is the cost for all the students? Explain how you found your answer.
$ ______

Answer:
$391

Explanation:
As per the given data,
Mr. Garcia’s class raised money for a field trip to the zoo
Total number of students in his class = 23 students
Cost of the trip for each student = $17
Then, total cost for all the students = $17 x 23 = $391

Common Core – Page No. 175

Multiply with Regrouping
Estimate. Then find the product.

Question 1.
Estimate: 2,700
Think: 87 is close to 90 and 32 is close to 30.
90 × 30 = 2,700

Answer:
2,784

Explanation:
Think: 87 is close to 90 and 32 is close to 30.
90 × 30 = 2,700

Question 2.
7 3
× 2 8
——–
Estimate: ______
Product: _______

Answer:
Estimate: 2,100
Product: 2,044

Explanation:
Estimate: 73 is close to 70; 28 is close to 30.
So, 70 x 30 = 2,100.
Product: Write 73 as 7 tens and 3 ones. Multiply 28 by 3 ones.
2
28
x 73
——–
84 <– 3 x 28
Multiply 28 by 7 tens
5
28
x 73
——–
1960 <– 70 x 28
Add the partial products.
84 + 1960 = 2,044.
So, 73 x 28 = 2,044.

Go Math Grade 4 Chapter 3 Answer Key Pdf Question 3.
4 8
× 3 8
——–
Estimate: ______
Product: _______

Answer:
Estimate: 2,000
Product: 1,824

Explanation:
48 is close to 50 and 38 is close to 40.
Estimate: 50 × 40 = 2,000
40 x 38 = 1520
8 x 38 = 304
1520 + 304 = 1824.
Product: 1,824

Question 4.
5 9
× 5 2
——–
Estimate: ______
Product: _______

Answer:
Estimate: 3,000
Product: 3,068

Explanation:
59 is close to 60 and 52 is close to 50.
Estimate: 60 × 50 = 3,000
50 x 52 = 2600
9 x 52 = 468
2600 + 468 = 3068.
Product: 3,068.

Question 5.
8 4
× 4 0
——–
Estimate: ______
Product: _______

Answer:
Estimate: 3,200
Product: 3,360

Explanation:
84 is close to 80 and 40 is close to 40.
Estimate: 80 × 40 = 3,200
80 x 40 = 3,200
4 x 40 = 160
3200 + 160 = 3,360.
Product: 3,360.

Question 6.
8 3
× 7 7
——–
Estimate: ______
Product: _______

Answer:
Estimate: 6,400
Product: 6,391

Explanation:
83 is close to 80 and 77 is close to 80.
Estimate: 80 × 80 = 6,400
80 x 77 = 6,160
3 x 77 = 231
6,160 + 231 = 6,391.
Product: 6,391.

Question 7.
9 1
× 1 9
——–
Estimate: ______
Product: _______

Answer:
Estimate: 1,800
Product: 1,729

Explanation:
91 is close to 90 and 19 is close to 20.
Estimate: 90 × 20 = 1,800
90 x 19 = 1,710
1 x 19 = 19
1,710+ 19 = 1,729.
Product: 1,729.

Problem Solving

Question 8.
Baseballs come in cartons of 84 baseballs. A team orders 18 cartons of baseballs. How many baseballs does the team order?
_______ baseballs

Answer:
1,512 baseballs

Explanation:
To find total baseballs, 84 x 18
80 x 18 = 1,440
4 x 18 = 72
84 x 18 = 1,512

Question 9.
There are 16 tables in the school lunch room. Each table can seat 22 students. How many students can be seated at lunch at one time?
_______ students

Answer:
352 students

Explanation:
Total Students = 16 x 22
10 x 22 = 220
6 x 22 = 132
220 + 132 = 352.
352 students can be seated at lunch at one time

Common Core – Page No. 176

Lesson Check

Question 1.
The art teacher has 48 boxes of crayons. There are 64 crayons in each box. Which is the best estimate of the number of crayons the art teacher has?
Options:
a. 2,400
b. 2,800
c. 3,000
d. 3,500

Answer:
c. 3,000

Explanation:
1. Total number of crayons = 48 x 64
48 is close to 50; 64 is close to 60
50 x 60 = 3,000.
The art teacher has about to 3, 000 crayons.

Question 2.
A basketball team scored an average of 52 points in each of 15 games. How many points did the team score in all?
Options:
a. 500
b. 312
c. 780
d. 1,000

Answer:
c. 780

Explanation:
Total Points = 52 x 15
50 x 15 = 750
2 x 15 = 30
750 + 30 = 780.
The basketball team scored 780 points in total.

Spiral Review

Question 3.
One Saturday, an orchard sold 83 bags of apples. There are 27 apples in each bag. Which expression represents the total number of apples sold?
Options:
a. 16 + 6 + 56 + 21
b. 160 + 60 + 56 + 21
c. 160 + 60 + 560 + 21
d. 1,600 + 60 + 560 + 21

Answer:
d. 1,600 + 60 + 560 + 21

Explanation:
Total number of apples sold = 83 x 27
80 x 27 = 2,160
3 x 27 = 81
2,160 + 81 = 2,241.
The total number of apples sold = 2,241.
16 + 6 + 56 + 21 = 99 not equal to 2,241
160 + 60 + 56 + 21 = 297 not equal to 2,241
160 + 60 + 560 + 21 = 801 not equal to 2,241
1,600 + 60 + 560 + 21 = 2,241 equal to 2,241
1,600 + 60 + 560 + 21 = 2,241 is correct.

Question 4.
Hannah has a grid of squares that has 12 rows with 15 squares in each row. She colors 5 rows of 8 squares in the middle of the grid blue. She colors the rest of
the squares red. How many squares does Hannah color red?
Options:
a. 40
b. 140
c. 180
d. 220

Answer:
b. 140

Explanation:
Hannah has a grid of squares that has 12 rows with 15 squares in each row = 12 x 15 = 180.
The grid of squares in blue = 5 x 8 = 40.
The grid of squares in red = 180 – 40 = 140.

Question 5.
Gabriella has 4 times as many erasers a Leona. Leona has 8 erasers. How many erasers does Gabriella have?
Options:
a. 32
b. 24
c. 12
d. 2

Answer:
a. 32

Explanation:
Gabriella have 4 x 8 = 32 erasers.

Question 6.
Phil has 3 times as many rocks as Peter. Together, they have 48 rocks. How many more rocks does Phil have than Peter?
Options:
a. 36
b. 24
c. 16
d. 12

Answer:
b. 24

Explanation:
Phil has 3 times as many rocks as Peter. Together, they have 48 rocks
If Peter has x rocks, Phil has 3x rocks
3x + x = 48.
4x = 48.
x = 48/4 = 12.
Peter has 12 rocks. Phil has 3 x 12 = 36 rocks.
Phil has 36 – 12 = 24 more rocks than Peter.

Page No. 179

Question 1.
Find the product.

Estimate: ______
Product: _______

Answer:
Estimate: 1,500
Product: 1,566

Explanation:
54 x 29
Estimate: Think 54 is close to 50; 29 is close to 30.
50 x 30 = 1,500
Product:
20 x 5 tens = 100 tens
20 x 4 ones = 80 ones
9 x 5 tens = 45 tens
9 x 4 ones = 36 ones.
Add partial products.
1000 + 80 + 450 + 36 = 1,566.

Estimate. Then choose a method to find the product.

Question 2.
3 6
× 1 4
——-
Estimate: ______
Product: _______

Answer:
Estimate: 400
Product: 504

Explanation:
36 x 14
Estimate: Think 36 is close to 40; 14 is close to 10.
40 x 10 = 400
Product:
10 x 3 tens = 30 tens
10 x 6 ones = 60 ones
4 x 3 tens = 12 tens
4 x 6 ones = 24 ones.
Add partial products.
300 + 60 + 120 + 24 = 504.

Go Math Grade 4 Chapter 3 Answer Key Question 3.
6 3
× 4 2
——-
Estimate: ______
Product: _______

Answer:
Estimate: 2,400
Product: 2646

Explanation:
63 x 42
Estimate: Think 63 is close to 60; 42 is close to 40.
60 x 40 = 2400
Product:
40 x 6 tens = 240 tens
40 x 3 ones = 120 ones
2 x 6 tens = 12 tens
2 x 3 ones = 6 ones.
Add partial products.
2400 + 120 + 120 + 6 = 2646.

Question 4.
8 4
× 5 3
——-
Estimate: ______
Product: _______

Answer:
Estimate: 4,000
Product: 4,452

Explanation:
84 x 53
Estimate: Think 84 is close to 80; 53 is close to 50.
80 x 50 = 4,000
Product:
50 x 8 tens = 400 tens
50 x 4 ones = 200 ones
3 x 8 tens = 24 tens
3 x 4 ones = 12 ones.
Add partial products.
4000 + 200 + 240 + 12 = 4,452.

Question 5.
7 1
× 1 3
——-
Estimate: ______
Product: _______

Answer:
Estimate: 700
Product: 923

Explanation:
71 x 13
Estimate: Think 71 is close to 70; 13 is close to 10.
70 x 10 = 700
Product:
10 x 7 tens = 70 tens
10 x 1 ones = 10 ones
3 x 7 tens = 21 tens
3 x 1 ones = 3 ones.
Add partial products.
700 + 10 + 210 + 3 = 923.

Practice: Copy and Solve Estimate. Find the product.

Question 6.
29 × $82
Estimate: $ _______
Product: $ _______

Answer:
Estimate: $2,400
Product: $2,378

Explanation:
29 x $82
Estimate: Think 29 is close to 30; $82 is close to $80.
30 x $80 = $2,400
Product:
$80 x 2 tens = $160 tens
$80 x 9 ones = $720 ones
$2 x 2 tens = $4 tens
$2 x 9 ones = $18 ones.
Add partial products.
$1600 + $720 + $40 + $18 = $2,378.

Question 7.
57 × 79
Estimate: _______
Product: _______

Answer:
Estimate: 4,800
Product: 4,503

Explanation:
57 x 79
Estimate: Think 57 is close to 60; 79 is close to 80.
60 x 80 = 4,800
Product:
70 x 5 tens = 350 tens
70 x 7 ones = 490 ones
9 x 5 tens = 45 tens
9 x 7 ones = 63 ones.
Add partial products.
3500 + 490 + 450 + 63 = 4,503.

Question 8.
80 × 27
Estimate: _______
Product: _______

Answer:
Estimate: 2,400
Product: 2,160

Explanation:
80 x 27
Estimate: Think 27 is close to 30.
30 x 80 = 2,400
Product:
20 x 8 tens = 160 tens
20 x 0 ones = 0 ones
7 x 8 tens = 56 tens
7 x 0 ones = 0 ones.
Add partial products.
1600 + 0 + 560 + 0 = 2,160.

Question 9.
32 × $75
Estimate: $ _______
Product: $ _______

Answer:
Estimate: $2,100
Product: $2,400

Explanation:
32 × $75
Estimate: Think 32 is close to 30; $75 is close to $70.
30 x $70 = $2,100
Product:
$70 x 3 tens = $210 tens
$70 x 2 ones = $140 ones
$5 x 3 tens = $15 tens
$5 x 2 ones = $10 ones.
Add partial products.
$2100 + $140 + $150 + $10 = $2,400.

Question 10.
55 × 48
Estimate: _______
Product: _______

Answer:
Estimate: 2,750
Product: 2,640

Explanation:
55 × 48
Estimate: Think 48 is close to 50.
55 x 50 = 2,750
Product:
40 x 5 tens = 200 tens
40 x 5 ones = 200 ones
8 x 5 tens = 40 tens
8 x 5 ones = 40 ones.
Add partial products.
2000 + 200 + 400 + 40 = 2,640.

Question 11.
19 × $82
Estimate: $ _______
Product: $ _______

Answer:
Estimate: $1,600
Product: $1,558

Explanation:
19 × $82
Estimate: Think 19 is close to 20; $82 is close to $80.
20 x $80 = $1,600
Product:
$80 x 1 tens = $80 tens
$80 x 9 ones = $720 ones
$2 x 1 tens = $2 tens
$2 x 9 ones = $18 ones.
Add partial products.
$800 + $720 + $20 + $18 = $1,558.

Question 12.
25 × $25
Estimate: $ _______
Product: $ _______

Answer:
Estimate: $625
Product: $625

Explanation:
25 × $25
Estimate:
25 x $25 = $625
Product:
$20 x 2 tens = $40 tens
$20 x 5 ones = $100 ones
$5 x 2 tens = $10 tens
$5 x 5 ones = $25 ones.
Add partial products.
$400 + $100 + $100 + $25 = $625.

Question 13.
41 × 98
Estimate: _______
Product: _______

Answer:
Estimate: 4,000
Product: 4,018

Explanation:
41 × 98
Estimate: Think 41 is close to 40; 98 is close to 100.
40 x 100 = 4,000
Product:
90 x 4 tens = 360 tens
90 x 1 ones = 90 ones
8 x 4 tens = 32 tens
8 x 1 ones = 8 ones.
Add partial products.
3600 + 90 + 320 + 8 = 4,018.

Identify Relationships Algebra Use mental math to find the number.

Question 14.
30 × 14 = 420, so
30 × 15 = ______

Answer:
30 × 15 = 450

Explanation:
30 × 15 = 30 + 420
30 × 15 = 450

Question 15.
25 × 12 = 300, so
25 × ______ = 350

Answer:
25 x 14 = 350

Explanation:
25 × 12 = 300
For every next multiplication, the product value is increased by 25.
25 x 13 = 325.
25 x 14 =350.

Question 16.
The town conservation manager bought 16 maple trees for $26 each. She paid with five $100 bills. How much change will the manager receive? Explain.
$ ______

Answer:
$84

Explanation:
The town conservation manager bought 16 maple trees for $26 each = 16 x $26 = $416.
She paid with five $100 bills = 5 x $100 = $500.
The manager receive = $500 – $416 = $84.

Question 17.
Each of 25 students in Group A read for 45 minutes. Each of 21 students in Group B read for 48 minutes. Which group read for more minutes? Explain.
_________

Answer:
Group A read for more minutes than Group B.

Explanation:
Group A read for 25 x 45 = 1125 minutes.
Group B read for 21 x 48 = 1008 minutes.
Group A read for more minutes than Group B.

Page No. 180

Question 18.
Martin collects stamps. He counted 48 pages in his collector’s album. The first 20 pages each have 35 stamps in 5 rows. The rest of the pages each have 54 stamps. How many stamps does Martin have in his album?

a. What do you need to know?
Type below:
_________

Answer:
The total stamps in the first 20 pages + The total stamps in the remaining pages.

Question 18.
b. How will you use multiplication to find the number of stamps?
Type below:
_________

Answer:
The first 20 pages each have 35 stamps in 5 rows.
So, 35 x 5 = 175 stamps.

Question 18.
c. Tell why you might use addition and subtraction to help solve the problem.
Type below:
_________

Answer:
As mentioned that the number of stamps available in the first 20 pages and the number of stamps available in the rest of the pages. We need to add all pages to get 48 pages stamps.

Question 18.
d. Show the steps to solve the problem.
Type below:
_________

Answer:
Martin has 48 pages in his collector’s album.
The first 20 pages each have 35 stamps in 5 rows.
So, 35 x 5 = 175 stamps.
The first 20 pages have 175 stamps.
The rest of the pages each have 54 stamps.
So, total stamps = 175 + 54 = 229 stamps.

Question 18.
e. Complete the sentences.
Martin has a total of _____ stamps on the first 20 pages.
There are _____ more pages after the first 20 pages in Martin’s album.
There are _____ stamps on the rest of the pages.
There are _____ stamps in the album.
Type below:
_________

Answer:
Martin has a total of __175___ stamps on the first 20 pages.
There are __24___ more pages after the first 20 pages in Martin’s album.
There are __54___ stamps on the rest of the pages.
There are ___229__ stamps in the album.

Question 19.
Select the expressions that have the same product as 35 × 17. Mark all that apply.
Options:
a. (30 × 10) + (30 × 7) + (5 × 10) + (5 × 7)
b. (30 × 17) + (5 × 17)
c. (35 × 30) + (35 × 5) + (35 × 10) + (35 × 7)
d. (35 × 10) + (35 × 7)
e. (35 × 10) + (30 × 10) + (5 × 10) + (5 × 7)
f. (35 × 30) + (35 × 5)

Answer:
a. (30 × 10) + (30 × 7) + (5 × 10) + (5 × 7)
b. (30 × 17) + (5 × 17)
d. (35 × 10) + (35 × 7)

Explanation:
35 × 17
30 x 10 =300
30 x 7 = 210
5 x 10 = 50
5 x 7 = 35
300 + 210 + 50 + 35 = 595.
a. (30 × 10) + (30 × 7) + (5 × 10) + (5 × 7) = 300 + 210 + 50 + 35 = 595 equal to 595.
b. (30 × 17) + (5 × 17) = 510 + 85 = 595 equal to 595.
c. (35 × 30) + (35 × 5) + (35 × 10) + (35 × 7) = 1050 + 175 + 350 + 245 = 1820 not equal to 595.
d. (35 × 10) + (35 × 7) = 350 + 245 = 595 equal to 595
e. (35 × 10) + (30 × 10) + (5 × 10) + (5 × 7) = 350 + 300 + 50 + 35 = 735 not equal to 595.
f. (35 × 30) + (35 × 5) = 1050 + 175 = 1,225 not equal to 595.

Common Core – Page No. 181

Choose a Multiplication Method

Estimate. Then choose a method to find the product.

Question 1.
Estimate: 1,200
3 1
× 4 3
——-
9 3
+ 1, 2 4 0
————
1, 3 3 3

Answer:
Estimate: 1,200
Product: 1, 3 3 3

Explanation:
Estimate: 1,200
3 1
× 4 3
——-
9 3
+ 1, 2 4 0
————
1, 3 3 3

Question 2.
6 7
× 8 5
——-
Estimate: _____
Product: ______

Answer:
Estimate: 6,300
Product: 5,695

Explanation:
Estimate: 67 is close to 70; 85 is close to 90.
70 x 90 = 6,300.
Product: 67 x 85
80 x 6 tens = 480 tens
80 x 7 ones = 560 ones
5 x 6 tens = 30 tens
5 x 7 ones = 35 ones.
Add partial products.
4800 + 560 + 300 + 35 = 5,695.

Question 3.
6 8
× 3 8
——-
Estimate: _____
Product: ______

Answer:
Estimate: 2,800
Product: 2,584

Explanation:
Estimate: 68 is close to 70; 38 is close to 40.
70 x 40 = 2,800.
Product: 68 x 38
30 x 6 tens = 180 tens
30 x 8 ones = 240 ones
8 x 6 tens = 48 tens
8 x 8 ones = 64 ones.
Add partial products.
1800 + 240 + 480 + 64 = 2,584.

Question 4.
9 5
× 1 7
——-
Estimate: _____
Product: ______

Answer:
Estimate: 1,700
Product: 1,615

Explanation:
Estimate: 95 is close to 100.
100 x 17 = 1,700.
Product: 95 x 17
10 x 9 tens = 90 tens
10 x 5 ones = 50 ones
7 x 9 tens = 63 tens
7 x 5 ones = 35 ones.
Add partial products.
900 + 50 + 630 + 35 = 1,615.

Question 5.
4 9
× 5 4
——-
Estimate: _____
Product: ______

Answer:
Estimate: 2,500
Product: 2,646

Explanation:
Estimate: 49 is close to 50; 54 is close to 50.
50 x 50 = 2,500.
Product: 49 x 54
50 x 4 tens = 200 tens
50 x 9 ones = 450 ones
4 x 4 tens = 16 tens
4 x 9 ones = 36 ones.
Add partial products.
2000 + 450 + 160 + 36 = 2,646.

Go Math Grade 4 Answer Key Chapter 3 Question 6.
9 1
× 2 6
——-
Estimate: _____
Product: ______

Answer:
Estimate: 2,700
Product: 2,366

Explanation:
Estimate: 91 is close to 90; 26 is close to 30.
90 x 30 = 2,700.
Product: 49 x 54
20 x 9 tens = 180 tens
20 x 1 ones = 20 ones
6 x 9 tens = 54 tens
6 x 1 ones = 6 ones.
Add partial products.
1800 + 20 + 540 + 6 = 2,366.

Question 7.
8 2
× 1 9
——-
Estimate: _____
Product: ______

Answer:
Estimate: 1,600
Product: 1,558

Explanation:
Estimate: 82 is close to 80; 19 is close to 20.
80 x 20 = 1,600.
Product: 82 x 19
10 x 8 tens = 80 tens
10 x 2 ones = 20 ones
9 x 8 tens = 72 tens
9 x 2 ones = 18 ones.
Add partial products.
800 + 20 + 720 + 18 = 1,558.

Question 8.
4 6
× 2 7
——-
Estimate: _____
Product: ______

Answer:
Estimate: 1,500
Product: 1,242

Explanation:
Estimate: 46 is close to 50; 27 is close to 30.
50 x 30 = 1,500.
Product: 46 x 27
20 x 4 tens = 80 tens
20 x 6 ones = 120 ones
7 x 4 tens = 28 tens
7 x 6 ones = 42 ones.
Add partial products.
800 + 120 + 280 + 42 = 1,242.

Question 9.
4 1
× 3 3
——-
Estimate: _____
Product: ______

Answer:
Estimate: 1,200
Product: 1,353

Explanation:
Estimate: 41 is close to 40; 33 is close to 30.
40 x 30 = 1,200.
Product: 41 x 33
30 x 4 tens = 120 tens
30 x 1 ones = 30 ones
3 x 4 tens = 12 tens
3 x 1 ones = 3 ones.
Add partial products.
1200 + 30 + 120 + 3 = 1,353.

Question 10.
9 7
× 1 3
——-
Estimate: _____
Product: ______

Answer:
Estimate: 1,300
Product: 1,261

Explanation:
Estimate: 97 is close to 100.
100 x 13 = 1,300.
Product: 97 x 13
10 x 9 tens = 90 tens
10 x 7 ones = 70 ones
3 x 9 tens = 27 tens
3 x 7 ones = 21 ones.
Add partial products.
900 + 70 + 270 + 21 = 1,261.

Question 11.
7 5
× 6 9
——-
Estimate: _____
Product: ______

Answer:
Estimate: 5,600
Product: 5,195

Explanation:
Estimate: 75 is close to 80; 69 is close to 70.
80 x 70 = 5,600.
Product: 75 x 69
60 x 7 tens = 420 tens
60 x 5 ones = 300 ones
9 x 7 tens = 63 tens
9 x 5 ones = 45 ones.
Add partial products.
4200 + 300 + 630 + 45 = 5,195.

Problem Solving

Question 12.
A movie theatre has 26 rows of seats. There are 18 seats in each row. How many seats are there in all?
______ seats

Answer:
468 seats

Explanation:
26 x 18 = 468 seats.
20 x 18 = 360
6 x 18 = 108
108+360 = 468.

Question 13.
Each class at Briarwood Elementary collected at least 54 cans of food during the food drive. If there are 29 classes in the school, what was the least number of
cans collected?
______ cans

Answer:
1,566 cans

Explanation:
Each class at Briarwood Elementary collected at least 54 cans of food.
If there are 29 classes in the school,
the least number of cans collected = 54 x 29 = 1,566 cans.

Common Core – Page No. 182

Lesson Check

Question 1.
A choir needs new robes for each of its 46 singers. Each robe costs $32. What will be the total cost for all 46 robes?
Options:
a. $1,472
b. $1,372
c. $1,362
d. $230

Answer:
a. $1,472

Explanation:
46 x $32
40 x $32 = $1,280
6 x $32 = $192
$1,280 + $192 = $1,472

Question 2.
A wall on the side of a building is made up of 52 rows of bricks with 44 bricks in each row. How many bricks make up the wall?
Options:
a. 3,080
b. 2,288
c. 488
d. 416

Answer:
b. 2,288

Explanation:
52 x 44
50 x 44 = 2,200
2 x 44 = 88
2,200 + 88 = 2,288.
2,288 bricks make up the wall.

Spiral Review

Question 3.
Which expression shows how to multiply 4 × 362 by using place value and expanded form?
Options:
a. (4 × 3) + (4 × 6) + (4 × 2)
b. (4 × 300) + (4 × 600) +(4 × 200)
c. (4 × 300) + (4 × 60) + (4 × 20)
d. (4 × 300) + (4 × 60) + (4 × 2)

Answer:
d. (4 × 300) + (4 × 60) + (4 × 2)

Explanation:
4 × 362 = 1,448
a. (4 × 3) + (4 × 6) + (4 × 2) = 12 + 24 + 8 = 44 not equal to 1,448.
b. (4 × 300) + (4 × 600) +(4 × 200) = 1200 + 2400 + 800 = 4,400 not equal to 1,448.
c. (4 × 300) + (4 × 60) + (4 × 20) = 1200 + 240 + 80 = 1,520 not equal to 1,448.
d. (4 × 300) + (4 × 60) + (4 × 2) = 1200 + 240 + 8 = 1,448 equal to 1,448.

Question 4.
Use the model below. What is the product 4 x 492?

Options:
a. 16 + 36 + 8 = 60
b. 160 + 36 + 8 = 204
c. 160 + 360 + 8 = 528
d. 1,600 + 360 + 8 = 1,968

Answer:
d. 1,600 + 360 + 8 = 1,968

Explanation:

1,600 + 360 + 8 = 1,968

Question 5.
What is the sum 13,094 + 259,728?
Options:
a. 272,832
b. 272,822
c. 262,722
d. 262,712

Answer:
c. 262,722

Explanation:
13,094 + 259,728 = 262,722

Question 6.
During the 2008–2009 season, there were 801,372 people who attended the home hockey games in Philadelphia. There were 609,907 people who attended the home hockey games in Phoenix. How much greater was the home attendance in Philadelphia than in Phoenix that season?
Options:
a. 101,475
b. 191,465
c. 201,465
d. 202,465

Answer:
b. 191,465

Explanation:
801,372 – 609,907 = 191,465
Philadelphia attendance is 191,465 greater than in Phoenix that season.

Page No. 185

Question 1.
An average of 74 reports with bird counts were turned in each day in June. An average of 89 were turned in each day in July. How many reports were turned in for both months? (Hint: There are 30 days in June and 31 days in July.)
First, write the problem for June.
Type below:
__________

Answer:
Given that An average of 74 reports with bird counts was turned in each day in June.
For June Month, there are 30 days = 30 x 74 = 2,220.

Question 1.
Next, write the problem for July.
Type below:
__________

Answer:
An average of 89 reports with bird counts was turned in each day in July.
For July Month, there are 31 days = 31 x 89 = 2,759.

Question 1.
Last, find and add the two products.
____________ reports were turned in for both months.
Type below:
__________

Answer:
Given that An average of 74 reports with bird counts was turned in each day in June.
For June Month, there are 30 days = 30 x 74 = 2,220.
An average of 89 reports with bird counts was turned in each day in July.
For July Month, there are 31 days = 31 x 89 = 2,759.
Add two products to get the total number of reports that were turned in for both months.
2,220 + 2,759 = 4,979.

Question 2.
What if an average of 98 reports were turned in each day for the month of June? How many reports were turned in for June? Describe how your answer for June would be different.
______ reports

Answer:
720 more reports

Explanation:
Given that an average of 98 reports was turned in each day for the month of June.
June has 30 days.
Total number of reports were turned in for June = 30 x 98 = 2, 940.
From the above answer, 98 − 74 = 24. So, there would be 30 × 24, or 720 more reports.

Question 3.
There are 48 crayons in a box. There are 12 boxes in a carton. Mr. Johnson ordered 6 cartons of crayons for the school. How many crayons did he get?
______ crayons

Answer:
3,456 crayons

Explanation:
There are 48 crayons in a box.
There are 12 boxes in a carton.
So, 1 carton = 48 x 12 = 576 crayons.
If Mr. Johnson ordered 6 cartons of crayons for the school, 6 x 576 crayons = 3,456 crayons.
He gets 3,456 crayons.

Question 4.
Make Sense of Problems Each of 5 birdwatchers reported seeing 15 roseate spoonbills in a day. If they each reported seeing the same number of roseate spoonbills over 14 days, how many would be reported?
______ roseate spoonbills

Answer:
1,050 roseate spoonbills

Explanation:
Given that, 1 day –>5 birdwatchers reported 15 roseate spoonbills = 5 x 15 = 75 roseate spoonbills.
So, in 14 days –> 5 birdwatchers reported 75 x 14 = 1,050 roseate spoonbills.

Page No. 186

Question 5.
On each of Maggie’s bird-watching trips, she has seen at least 24 birds. If she has taken 4 of these trips each year over the past 16 years, at least how many birds has Maggie seen?
at least ______ birds

Answer:
Maggie seen 1,536 birds

Explanation:
Given that, 1 trip –> Maggie seen 24 birds.
For 1 year she goes for 4 bird-watching trips.
So, she has seen 4 x 24 = 96 birds for 1 year.
For 16 years, 16 x 96 = 1,536 birds have Maggie seen.

Question 6.
Make Sense of Problems There are 12 inches in a foot. In September, Mrs. Harris orders 32 feet of ribbon for the Crafts Club. In January, she orders 9 feet less. How many inches of ribbon does Mrs. Harris order? Explain how you found your answer.
______ inches

Answer:
660 inches

Explanation:
There are 12 inches in a foot.
In September, Mrs. Harris orders 32 feet of ribbon for the Crafts Club = 32 x 12 = 384.
In January, she orders 9 feet less = 32 – 9 = 23.
So, in January, she orders 23 x 12 = 276.
Mrs. Harris order 276 + 384 = 660 inches of ribbon in total.
(or)
9 less than 32 is 23, so I added 23 + 32 = 55.
Then, I multiplied 55 × 12 = 660.

Question 7.
Lydia is having a party on Saturday. She decides to write a riddle on her invitations to describe her house number on Cypress Street. Use the clues to find Lydia’s address.

______ Cypress Street

Answer:
14827 Cypress Street

Explanation:
Given that tens digit is 5 less than 7 = 7 – 5 = 2. 2 is the tens digit.
The thousands digit is twice the digit in the tens place = 2 x 2 = 4.
The hundreds digit is the greatest even number that is less than 10 i.e, 8.
The ones digit is the product of 7 and 1 = 7 x 1 = 7.
The ten thousands digit is the difference between the hundreds digit and the ones digit. So, 8 – 7 = 1.
Add the products to get the final answer = 14827.
Lydia’s address ( house number ) is 14827 Cypress Street.

Question 8.
A school is adding 4 rows of seats to the auditorium. There are 7 seats in each row. Each new seat costs $99. What is the total cost for the new seats? Show your work.
$ ______

Answer:
$2,772

Explanation:
Given that A school is adding 4 rows of seats to the auditorium. There are 7 seats in each row.
So, 7 x 4 = 28 seats are available in an auditorium.
Each new seat costs $99.
28 x $99 = $2,772 for total cost of the new seats.

Common Core – Page No. 187

Problem Solving Multiply 2 – Digit numbers

Solve each problem. Use a bar model to help.

Question 1.
Mason counted an average of 18 birds at his bird feeder each day for 20 days. Gloria counted an average of 21 birds at her bird feeder each day for 16 days. How many more birds did Mason count at his feeder than Gloria counted at hers?

Birds counted by Mason: 18 × 20 = 360
Birds counted by Gloria: 21 × 16 = 336
Draw a bar model to compare.
Subtract. 360 – 336 = 24
So, Mason counted 24 more birds.

Answer:
Birds counted by Mason: 18 × 20 = 360
Birds counted by Gloria: 21 × 16 = 336
Draw a bar model to compare.

Subtract. 360 – 336 = 24
So, Mason counted 24 more birds.

Question 2.
The 24 students in Ms. Lee’s class each collected an average of 18 cans for recycling. The 21 students in Mr. Galvez’s class each collected an average of 25 cans for recycling. How many more cans were collected by Mr. Galvez’s class than Ms. Lee’s class?
______ more cans

Answer:
The number of cans collected by Ms. Lee’s class = 18 x 24 = 432.
The number of cans collected by Mr. Galvez’s class = 25 x 21 = 525.
Use Bar Model

Subtract. 525 – 432 = 93 more cans.
So, Mr. Galvez’s class collected 93 more cans than Ms. Lee’s class.

Question 3.
At East School, each of the 45 classrooms has an average of 22 students. At West School, each of the 42 classrooms has an average of 23 students. How many more students are at East School than at West School?
______ more students

Answer:
Students in East school = 45 x 22 = 990.
Students in West School = 42 x 23 = 966.
Use Bar Model

Subtract. 990 – 966 = 24.
So, East School has 24 students more than West School.

Question 4.
A zoo gift shop orders 18 boxes of 75 key rings each and 15 boxes of 80 refrigerator magnets each. How many more key rings than refrigerator magnets does the gift shop order?
______ more key rings

Answer:
Number of Key Rings = 75 x 18 = 1,350.
Number of Refrigerator Magnets= 80 x 15 = 1,200.
Use Bar Model

Subtract. 1,350 – 1,200 = 150.
So, key rings are 150 more than refrigerator magnets.

Common Core – Page No. 188

Lesson Check

Question 1.
Ace Manufacturing ordered 17 boxes with 85 ball bearings each. They also ordered 15 boxes with 90 springs each. How many more ball bearings than springs did they order?
Options:
a. 5
b. 85
c. 90
d. 95

Answer:
d. 95

Explanation:
Number of ball bearings = 85 x 17 = 1,445.
Number of springs = 90 x 15 = 1,350.
Use Bar Model

Subtract. 1,445 – 1,350 = 95.
So, ball bearings are 95 more than springs.

Question 2.
Elton hiked 16 miles each day on a 12-day hiking trip. Lola hiked 14 miles each day on her 16-day hiking trip. In all, how many more miles did Lola hike than Elton hiked?
Options:
a. 2 miles
b. 18 miles
c. 32 miles
d. 118 miles

Answer:
c. 32 miles

Explanation:
Hiking trip by Elton = 12 x 16 = 192.
Hiking trip by Lola = 16 x 14 = 224.
Use Bar Model

Subtract. 224 – 192 = 32.
So, the Hiking trip by Lola is 32 times more than the Hiking trip by Elton.

Spiral Review

Question 3.
An orchard has 24 rows of apple trees. There are 35 apple trees in each row. How many apple trees are in the orchard?
Options:
a. 59
b. 192
c. 740
d. 840

Answer:
d. 840

Explanation:
An orchard has 24 rows of apple trees. There are 35 apple trees in each row.
24 x 35 = 840 apple trees are in the orchard.

Question 4.
An amusement park reported 354,605 visitors last summer. What is this number rounded to the nearest thousand?
Options:
a. 354,600
b. 355,000
c. 360,000
d. 400,000

Answer:
b. 355,000

Explanation:
An amusement park reported 354,605 visitors last summer. 4,605 is close to 5,000. So, the answer is 355,000.

Question 5.
Attendance at the football game was 102,653. What is the value of the digit 6?
Options:
a. 6
b. 60
c. 600
d. 6,000

Answer:
c. 600

Explanation:
Digit 6 is at hundreds of positions. So, the answer is 6 x 100 = 600.

Question 6.
Jill’s fish weighs 8 times as much as her parakeet. Together, the pets weigh 63 ounces. How much does the fish weigh?
Options:
a. 7 ounces
b. 49 ounces
c. 55 ounces
d. 56 ounces

Answer:
d. 56 ounces

Explanation:
Let Jill’s parakeet = X.
Jill’s fish weighs 8 times as much as her parakeet = 8X.
Together, the pets weigh 63 ounces.
X + 8X = 63.
9X = 63.
X = 63/9 = 7.
So, Jill’s parakeet =7.
Jill’s fish = 7 x 8 = 56 ounces.

Review/Test – Page No. 189

Question 1.
Explain how to find 40 × 50 using mental math
Type below:
_________

Answer:
200

Explanation:
40 x 50
By using mental math
4 x 5 = 20
40 x 50 = 200

Mrs. Traynor’s class is taking a field trip to the zoo. The trip will cost $26 for each student. There are 22 students in her class.

Question 2.
Part A
Round each factor to estimate the total cost of the students’ field trip.
$ ______

Answer:
$600

Explanation:
Total cost of the students’ field trip = 22 x $26.
22 x $26
20 x $30 = $600
The total cost would be about $600.

Question 2.
Part B
Use compatible numbers to estimate the total cost of the field trip.
$ ______

Answer:
$500

Explanation:
If we use compatible numbers to estimate the total cost of the field trip.
22 x $26
20 × 25 = 500
The total cost would be about $500.

Question 2.
Part C
Which do you think is the better estimate? Explain.
Better estimate: _________

Answer:
Using rounded numbers is a better estimate. When rounded numbers are used, one estimated factor was $4 more than the actual factor and the other estimated factor was $2 that is less than the actual factor. So, the estimate should be close to the actual one. When compatible numbers are used both estimated factors were less than the actual factors. So, the product will be an underestimate.

Review/Test – Page No. 190

For numbers 3a–3e, select Yes or No to show if the answer is correct.

Question 3.
3a. 35 × 10 = 350
i. yes
ii. no

Answer:
i. yes

Explanation:
35 x 10 = 350
30 x 10 = 300.
5 x 10 = 50.
300 + 50 = 350.

Question 3.
3b. 19 × 20 = 380
i. yes
ii. no

Answer:
i. yes

Explanation:
19 × 20 = 380
19 x 20 = 19 x 2 tens.
19 x 20 = 38 tens = 380.

Question 3.
3c. 12 × 100 = 120
i. yes
ii. no

Answer:
ii. no

Explanation:
12 x 100 = 120.
10 x 100 = 1000
2 x 100 = 200.
1000 + 200 = 1200.

Question 3.
3d. 70 × 100 = 7,000
i. yes
ii. no

Answer:
i. yes

Explanation:
70 x 100 = 7,000
100 x 7 tens = 700 tens = 7,000

Question 3.
3e. 28 × 30 = 2,100
i. yes
ii. no

Answer:
ii. no

Explanation:
28 × 30
20 x 30 = 600
8 x 30 = 240
600 + 240 = 840

Question 4.
There are 23 boxes of pencils in Mr. Shaw’s supply cabinet. Each box contains 100 pencils. How many pencils are in the supply cabinet?
_____ penciles

Answer:
2,300 pencils

Explanation:
23 x 100 = 2,300 pencils are in the supply cabinet.

Question 5.
Which would provide a reasonable estimate for each product? Write the estimate beside the product. An estimate may be used more than once
23 × 38 __________
31 × 32 __________
46 × 18 __________
39 × 21 __________

Answer:
23 × 38 –> 25 x 40
31 x 32 –> 30 × 30
46 × 18 –> 50 × 20
39 × 21 –> 25 × 40

Explanation:
23 × 38; 23 is close to 25; 38 is close to 40.
So, the estimated product is 25 x 40
31 x 32; 31 is close to 30; 32is close to 30.
So, the estimated product is 30 × 30
46 × 18; 46 is close to 50; 18 is close to 20.
So, the estimated product is 50 × 20
39 × 21; 39 is close to 40; 21 is close to 25.
So, the estimated product is 25 × 40

Question 6.
There are 26 baseball teams in the league. Each team has 18 players. Write a number sentence that will provide a reasonable estimate for the number of players in the league. Explain how you found your estimate.
Type below:
__________

Answer:
There are 26 baseball teams in the league. Each team has 18 players.
26 x 18
25 x 20
We Rounded each factor to its close factor, then simplified the multiplication.

Question 7.
The model shows 48 × 37. Write the partial products.

Type below:
__________

Answer:

Partial Products are 1200, 240, 280, 56

Review/Test – Page No. 191

Question 8.
Jess made this model to find the product 32 × 17. Her modelis incorrect.

Part A
What did Jess do wrong?
Type below:
__________

Answer:
Jess added the numbers in the model instead of multiplying.

Question 8.
Part B
Redraw the model so that it is correct.

Type below:
__________

Answer:

Question 8.
Part C
What is the actual product 32 × 17?
______

Answer:
544

Explanation:
32 × 17
10 x 32 = 320
7 x 32 = 224
320 + 224 = 544.

Question 9.
Tatum wants to use partial products to find 15 × 32. Write the numbers in the boxes to show 15 × 32.

Type below:
__________

Answer:

Review/Test – Page No. 192

Question 10.
Which product is shown by the model? Write the letter of the product on the line below the model.

Type below:
__________

Answer:

C                                              A                                                  B
10 + 3 = 13
10 + 3 = 13
13 x 13
2. 10 + 7 = 17
30 + 6 = 36
17 x 36
3. 20 + 4 = 24
10 + 4 = 14
24 x 14

Question 11.
Mrs. Jones places 3 orders for school T-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts. How many T-shirts does Mrs. Jones order? Use partial products to help you.
Type below:
__________

Answer:
816 T-shirts

Explanation:
Mrs. Jones places 3 orders for school T-shirts. Each order has 16 boxes of shirts and each box holds 17 shirts.
Each box has 17 shirts.
16 boxes = 16 x 17 = 272.
Each order = 16 boxes = 272 shirts.
3 orders = 3 x 272 = 816 shirts.
Mrs. Jones order 816 T-shirts.

Question 12.
Write the unknown digits. Use each digit exactly once.

Type below:
__________

Answer:

90 x 40 = 3,600
90 x 6 = 540
3 x 40 = 120
3 x 6 = 18.
3,600 + 540 + 120 + 8 = 4,278.

Question 13.
Mike has 16 baseball cards. Niko has 17 times as many baseball cards as Mike does. How many baseball cards does Niko have?
________ baseball cards

Answer:
272 baseball cards

Explanation:
Mike has 16 baseball cards. Niko has 17 times as many baseball cards as Mike does.
Niko have 16 x 17 = 272 baseball cards.

Question 14.
Multiply.
36 × 28 = ________

Answer:
1,008

Explanation:
36 x 28
20 x 30 = 600
20 x 6 = 120
8 x 30 = 240
8 x 6 = 48
600 + 120 + 240 + 48 = 1,008

Review/Test – Page No. 193

Question 15.
A farmer planted 42 rows of tomatoes with 13 plants in each row. How many tomato plants did the farmer grow?
42 × 13 = ______ tomato plants

Answer:
420 + 126 = 546 tomato plants

Explanation:
42 × 13
10 x 42 = 420
3 x 42 = 126
420 + 126 = 546 tomato plants

Question 16.
Select another way to show 25 × 18. Mark all that apply.
Options:
a. (20 × 10) + (20 × 8) + (5 × 10) + (5 × 8)
b. (25 × 20) + (25 × 5) + (25 × 10) + (25 × 8)
c. (20 × 18) + (5 × 10) + (5 × 8)
d. (25 × 10) + (25 × 8)
e. (25 × 20) + (25 × 5)

Answer:
a. (20 × 10) + (20 × 8) + (5 × 10) + (5 × 8)
c. (20 × 18) + (5 × 10) + (5 × 8)
d. (25 × 10) + (25 × 8)

Explanation:
25 × 18
10 x 25 = 250
8 x 25 = 200
250 + 200 = 450.
a. (20 × 10) + (20 × 8) + (5 × 10) + (5 × 8) = 200 + 160 + 50 + 40 = 450
b. (25 × 20) + (25 × 5) + (25 × 10) + (25 × 8) = 500 + 125 + 250 + 200 = 1,075
c. (20 × 18) + (5 × 10) + (5 × 8) = 360 + 50 + 40 = 450
d. (25 × 10) + (25 × 8) = 250 + 200 = 450
e. (25 × 20) + (25 × 5) = 500 + 125 = 625

Question 17.
Terrell runs 15 sprints. Each sprint is 65 meters. How many meters does Terrell run? Show your work.
______ meters

Answer:
975 meters

Explanation:
Terrell run 15 x 65 = 975 meters.

Question 18.
There are 3 new seats in each row in a school auditorium. There are 15 rows in the auditorium. Each new seat cost $74. What is the cost for the new seats? Explain how you found your answer.
$ ______

Answer:
$3,330

Explanation:
Given that There are 3 new seats in each row in a school auditorium. There are 15 rows in the auditorium. Each new seat cost $74.
So, 3 x 15 = 45 seats are available in an auditorium.
Each new seat costs $74.
45 x $74 = $3,330 for total cost of the new seats.

Question 19.
Ray and Ella helped move their school library to a new building. Ray packed 27 boxes with 25 books in each box. Ella packed 23 boxes with 30 books in each box. How many more books did Ella pack? Show your work.
______ books

Answer:
15 books

Explanation:
Ray packed 27 x 25 = 675 books.
Ella packed 23 x 30 = 690 books
Ella packed 690 – 675 = 15 books more than Ray.

Review/Test – Page No. 194

Question 20.
Julius and Walt are finding the product of 25 and 16.

Part A
Julius’ answer is incorrect. What did Julius do wrong?
Type below:
__________

Answer:
Julius multiplied 25 by 10 and then multiplied 25 by 6 correctly. He added the two partial products incorrectly.

Question 20.
Part B
What did Walt do wrong?
Type below:
__________

Answer:
Walt multiplied 6 by 5 and got 300 instead of 30

Question 20.
Part C
What is the correct product?
Type below:
__________

Answer:
25 x 16 = 400

Question 21.
A clothing store sells 26 shirts and 22 pairs of jeans. Each item of clothing costs $32.
Part A
What is a reasonable estimate for the total cost of the clothing?
Show or explain how you found your answer.
$ ______

Answer:
$1500

Explanation:
A clothing store sells 26 shirts and 22 pairs of jeans. 26 + 22 = 48 clothes.
Each item of clothing costs $32.
48 x $32
50 x $30 = $1500

Question 21.
Part B
What is the exact answer for the total cost of the clothing? Show or explain how you found your answer.
$ ______

Answer:
$1,536

Explanation:
48 x $32
40 x $32 = $1,280
8 x $32 = $256
$1,280 + $256 = $1,536

Page No. 199

Question 1.
A restaurant has 68 chairs. There are six chairs at each table. About how many tables are in the restaurant?
Estimate. 68 ÷ 6
Think: What number times 6 is about 68?
10 × 6 = ___
11 × 6 = ___
12 × 6 = ___
68 is closest to ______, so the best estimate is about _______ tables are in the restaurant.
Type below:
__________

Answer:
68 is close to 70 and 6 is close to 5.
So, 70/5 = 12.
10 × 6 = __60_
11 × 6 = _66__
12 × 6 = _72__
68 is closest to ___66___, so the best estimate is about 11 x 6 = 66 tables are in the restaurant.

Find two numbers the quotient is between. Then estimate the quotient.

Question 2.
41 ÷ 3
between _______ and _______

Answer:
between 13 and 14
about 14

Explanation:
13 x 3 = 39; 14 x 3 = 42.
The quotient of 41 ÷ 3 is between 13 and 14.

Question 3.
192 ÷ 5
between _______ and _______

Answer:
between 30 and 40
about 40

Explanation:
30 x 5 = 150; 40 x 5 = 200.
The quotient of 192 ÷ 5 is between 30 and 40.

Find two numbers the quotient is between. Then estimate the quotient.

Question 4.
90 ÷ 7
between _______ and _______

Answer:
between 12 and 13
about 13

Explanation:
12 x 7 = 84; 13 x 7 = 91.
The quotient of 90 ÷ 7 is between 12 and 13.

Question 5.
67 ÷ 4
between _______ and _______

Answer:
between 16 and 17
about 17

Explanation:
16 x 4 = 64; 17 x 4 = 68.
The quotient of 67 ÷ 4 is between 16 and 17.

Question 6.
281 ÷ 9
between _______ and _______

Answer:
between 30 and 40
about 30

Explanation:
30 x 9 = 270; 40 x 9 = 360.
The quotient of 281 ÷ 9 is between 30 and 40.

Question 7.
102 ÷ 7
between _______ and _______

Answer:
between 14 and 15
about 15

Explanation:
14 x 7 = 98; 15 x 7 = 105.
The quotient of 102 ÷ 7 is between 14 and 15.

Question 8.
85 ÷ 6
between _______ and _______

Answer:
between 14 and 15
about 14

Explanation:
14 x 6 = 84; 15 x 6 = 90.
The quotient of 85 ÷ 6 is between 14 and 15.

Question 9.
220 ÷ 8
between _______ and _______

Answer:
between 20 and 30
about 30

Explanation:
20 x 8 = 160; 30 x 8 = 240.
The quotient of 220 ÷ 8 is between 20 and 30.

Decide whether the actual quotient is greater than or less than the estimate given. Write < or >.

Question 10.
83 ÷ 8 _______ 10

Answer:
>

Explanation:
83 ÷ 8 = 10.375 > 10

Question 11.
155 ÷ 4 _______ 40

Answer:
<

Explanation:
155 ÷ 4 = 38.75 < 40

Question 12.
70 ÷ 6 _______ 11

Answer:
>

Explanation:
70 ÷ 6 = 11.666 > 11

Question 13.
What’s the Question? A dolphin’s heart beats 688 times in 6 minutes. Answer: about 100 times.
Type below:
__________

Answer:
About how many times does a dolphin’s heart beats in 1 minute?

Question 14.
Analyze A mother bottlenose ate about 278 pounds of food in one week. About how much food did she eat in a day?
about _____ pounds

Answer:
about 40 pounds

Explanation:
278 ÷ 7
The quotient of 278 ÷ 7 is between 39 and 40.

Question 15.
Tanya has $42 to spend at the Dolphin Island store. T-shirts sell for $7 each and a pair of sunglasses sells for $6. Tanya buys 3 T-shirts. How many pairs of sunglasses can she buy with the amount of money she has left?
_____ pairs of sunglasses

Answer:
3 pairs of sunglasses

Explanation:
Given that Tanya has $42 to spend at the Dolphin Island store. T-shirts sell for $7 each and a pair of sunglasses sell for $6.
Tanya buys 3 T-shirts = 3 x $7 = $21.
pair of sunglasses = $42 – $21 = $21.
1 pair of sunglasses sells for $6.
So, $21 ÷ $7 = 3.
3 pairs of sunglasses can Tanya buy with the amount of money she has left.

Page No. 200

Question 16.
If a bottlenose dolphin can eat 175 pounds of fish, squid, and shrimp in a week, about how many pounds of food does it eat in a day? Milo says the answer is about 20 pounds. Leah says the answer is about 30 pounds. Who is correct? Explain.

________

Answer:
The bottlenose dolphin can eat 25 pounds for 1 day.
Both answers are correct. Because the 25 pounds is in between 20 and 30 pounds.

Explanation:
1 week = 7 days.
The bottlenose dolphin can eat 175 pounds for 7 days.
For 1 day = 175 ÷ 7 = 25 pounds.
The bottlenose dolphin can eat 25 pounds for 1 day.
Both answers are correct. Because the 25 pounds is in between 20 and 30 pounds.

Question 17.
Four families went out for lunch. The total food bill came to $167. The families also left a $30 tip for the waitress. If each family spent the same amount, about how much did each family spend on dinner? Explain how you found your answer.
$ ______

Answer:
$98.5

Explanation:
Four families went out for lunch. The total food bill came to $167. The families also left a $30 tip for the waitress.
So, total amount = $167 + $30 = $197.
If each family spent the same amount = $197 ÷ 2 = $98.5
Each family spent $98.5.

Question 18.
There are 6 showings of a film about Van Gogh at the Art Museum. A total of 459 people saw the film. The same number of people were at each showing. About how many people were at each showing? Circle the numbers the quotient is between. Then explain how you found your answer.
40 50 60 70 80
Type below:
_________

Answer:
40 50 60 70 80
I found multiples of 6 that 459 is between. 70 × 6 = 420 and 80 × 6 = 480. Since 459 is closer to 480, 459 ÷ 6 is about 80.

Conclusion

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Lesson 1: Algebra • Multiplication Comparisons

• Common Core – Multiplication Comparisons – Page No. 67
• Common Core – Multiplication Comparisons – Lesson Check – Page No. 68
• Multiplication Comparisons – Page No. 71

Lesson 2: Algebra • Comparison Problems

• Common Core – Comparison Problems – Page No. 73
• Common Core – Comparison Problems – Lesson Check – Page No. 74
• Comparison Problems – Page No. 77
• Comparison Problems – Page No. 78

Lesson 3: Multiply Tens, Hundreds, and Thousands

• Common Core – Multiply Tens, Hundreds, and Thousands – Page No. 79
• Common Core – Multiply Tens, Hundreds, and Thousands – Lesson Check – Page No. 80
• Multiply Tens, Hundreds, and Thousands – Page No. 83
• Multiply Tens, Hundreds, and Thousands – Page No. 84

Lesson 4: Estimate Products

• Common Core – Estimate Products – Page No. 85
• Common Core – Estimate Products – Lesson Check – Page No. 86
• Estimate Products – Page No. 89
• Estimate Products – Page No. 90

Lesson 5: Investigate • Multiply Using the Distributive Property

• Common Core – Multiply Using the Distributive Property – Page No. 91
• Common Core – Multiply Using the Distributive Property – Lesson Check – Page No. 92
• Multiply Using the Distributive Property – Page No. 95
• Multiply Using the Distributive Property – Page No. 96

Lesson 6: Multiply Using Expanded Form

• Common Core – Multiply Using Expanded Form – Page No. 97
• Common Core – Multiply Using Expanded Form – Lesson Check – Page No. 98
• Multiply Using Expanded Form – Page No. 101
• Multiply Using Expanded Form – Page No. 102

Lesson 7: Multiply Using Partial Products

• Common Core – Multiply Using Partial Products – Page No. 103
• Common Core – Multiply Using Partial Products – Lesson Check – Page No. 104
• Multiply Using Partial Products – Page No. 105
• Multiply Using Partial Products – Page No. 106
• Multiply Using Partial Products – Page No. 109
• Multiply Using Partial Products – Page No. 110

Lesson 8: Multiply Using Mental Math

• Common Core – Multiply Using Mental Math – Page No. 111
• Common Core – Multiply Using Mental Math – Lesson Check – Page No. 112
• Multiply Using Mental Math – Page No. 115
• Multiply Using Mental Math – Page No. 116

Lesson 9: Problem Solving • Multistep Multiplication Problems

• Common Core – Problem Solving Multistep Multiplication Problems – Page No. 117
• Common Core – Problem Solving Multistep Multiplication Problems – Lesson Check – Page No. 118
• Problem Solving Multistep Multiplication Problems – Page No. 121

Lesson 10: Multiply 2-Digit Numbers with Regrouping

• Common Core – Multiply 2-Digit Numbers with Regrouping – Page No. 123
• Common Core – Multiply 2-Digit Numbers with Regrouping – Lesson Check – Page No. 124
• Multiply 2-Digit Numbers with Regrouping – Page No. 127
• Multiply 2-Digit Numbers with Regrouping – Page No. 128

Lesson 11: Multiply 3-Digit and 4-Digit Numbers with Regrouping

• Common Core – Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 129
• Common Core – Multiply 3-Digit and 4-Digit Numbers with Regrouping – Lesson Check – Page No. 130

Lesson 12: Algebra • Solve Multistep Problems Using Equations

• Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 133
• Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 134
• Common Core – Solve Multistep Problems Using Equations – Page No. 135
• Common Core – Solve Multistep Problems Using Equations – Lesson Check – Page No. 136

Chapter 2 Review/Test

• Review/Test – Page No. 137
• Review/Test – Page No. 138
• Review/Test – Page No. 139
• Review/Test – Page No. 140
• Review/Test – Page No. 141
• Review/Test – Page No. 142
• Page No. 147
• Page No. 148

Common Core – Multiplication Comparisons – Page No. 67

Write a comparison sentence.

Question 1.
6 × 3 = 18
6 times as many as 3 is 18.

Question 2.
63 = 7 × 9

Answer: 63 is 7 times as many as 9.

Explanation:

Question 3.
5 × 4 = 20

Answer: 5 times as many as 4 is 20.

Explanation:

Question 4.
48 = 8 × 6

Answer: 48 is 6 times as many as 8.

Explanation:

Write an equation.

Question 5.
2 times as many as 8 is 16.

Answer: 2 × 8 = 16

Explanation:

Go Math Grade 4 Answer Key Chapter 2 Question 6.
42 is 6 times as many as 7.

Answer: 42 = 6 × 7

Explanation:

Question 7.
3 times as many as 5 is 15.

Answer: 3 × 5 = 15

Explanation:

Question 8.
36 is 9 times as many as 4.
Answer: 36 = 9 × 4

Explanation:

Question 9.
72 is 8 times as many as 9.
Answer: 72 = 8 × 9

Explanation:

Question 10.
5 times as many as 6 is 30.
Answer: 5 × 6 = 30

Explanation:

Problem Solving

Question 11.
Alan is 14 years old. This is twice as old as his brother James is. How old is James?

Answer: 7 years old.

Explanation:
Alan’s age is 14 years old and his brother is James is twice younger than Alan, So James’s age is 14÷2= 7.

Question 12.
There are 27 campers. This is nine times as many as the number of counselors. How many counselors are there?

Answer: 3 counselors.

Explanation: 27 campers= 9× no.of counselors,
So no.of counselors are 27÷9= 3.

Question 13.

Draw a model, and write an equation to represent “4 times as many as 3 is 12.” Explain your work.

Answer: 4×3= 12.

Explanation:

Common Core – Multiplication Comparisons – Lesson Check – Page No. 68

Question 1.
Which equation best represents the comparison sentence?
24 is 4 times as many as 6.
Options:
a. 24 × 4 = 6
b. 24 = 4 × 6
c. 24 = 4 + 6
d. 4 + 6 = 24

Answer: b

Explanation:

Question 2.
Which comparison sentence best represents the equation?
5 × 9 = 45
Options:
a. 5 more than 9 is 45.
b. 9 is 5 times as many as 45.
c. 5 is 9 times as many as 45.
d. 45 is 5 times as many as 9.

Answer: d

Explanation:

Spiral Review

Question 3.
Which of the following statements correctly compares the numbers?
Options:
a. 273,915 > 274,951
b. 134,605 < 143,605
c. 529,058 > 530,037
d. 452,731 > 452,819

Answer: b

Explanation: 134,605 is lesser compared to 143,605.

Question 4.
What is the standard form for
200,000 + 80,000 + 700 + 6?
Options:
a. 2,876
b. 28,706
c. 208,706
d. 280,706

Answer: d

Explanation: 200,000+80,000+700+6= 280,706.

Go Math Grade 4 Chapter 2 Answer Key Pdf Question 5.
Sean and Leah are playing a computer game. Sean scored 72,491 points. Leah scored 19,326 points more than Sean. How many points did Leah score?
Options:
a. 53,615
b. 91,717
c. 91,815
d. 91,817

Answer: d

Explanation: Sean’s score is 72,491 and Leah’s score is 19,326 more than Sean’s score. So Sean’s score is 72,491+19,326 = 91,817.

Question 6.
A baseball stadium has 38,496 seats. Rounded to the nearest thousand, how many seats is this?
Options:
a. 38,000
b. 38,500
c. 39,000
d. 40,000

Answer: b

Explanation: Round off to the nearest thousand is 38,000.

Multiplication Comparisons – Page No. 71

Question 1.
Maria’s dog weighs 6 times as much as her rabbit. Together the pets weigh 56 pounds. What does Maria’s dog weigh? Draw a model. Let n represent the unknown.

Answer: 48 Pounds.

Explanation: Let the weight of the rabbit be X and the dog’s weight is 6X. Both pet’s weight is 56 pounds i.e 6X+X=56, 7X=56 then X is 8.
Rabbit’s weight is 8 and Dog’s weight is 6×8= 48.

Draw a model. Write an equation and solve.

Question 2.
Last month Kim trained 3 times as many dogs as cats. If the total number of cats and dogs she trained last month is 28, how many cats did Kim train?

Answer: 7

Explanation: Let the cats trained to be X and dogs trained to be 3X.
Total Cats and Dogs she trained are 28, then X+3X= 28 and X= 7.
Therefore Cats trained are 7.

Question 3.
How many more dogs than cats did Kim train?

Answer: 21 dogs

Explanation: 3×7= 21.

Practice: Copy and Solve Draw a model.
Write an equation and solve.

Question 4.
At the dog show, there are 4 times as many boxers as spaniels. If there are a total of 30 dogs, how many dogs are spaniels?

Answer: 24.

Explanation: Let spaniels be S and the boxers be 4S. As the total is 30, S+4S=30 then 5S=30.
Therefore S is 6. Spaniels are 6 and boxers are 4 times as many as spaniels. So boxers are 4×6=24.

Question 5.
There are 5 times as many yellow labs as terriers in the dog park. If there are a total of 18 dogs, how many dogs are terriers?

Answer: 3.

Explanation: Let the Terriers be T and yellow labs be 5T. As total dogs are 18, 5T+T=18, and therefore T=18/6 which is 3. Terriers are 3.

Question 6.
Ben has 3 times as many guppies as goldfish. If he has a total of 20 fish, how many guppies does he have?

Answer: 15.

Explanation: Let Goldfish be X and Guppies be 3X, So X+3X= 20.
Therefore X= 5. So guppies are 3×5= 15.

Question 7.
Carlita saw 5 times as many robins as cardinals while bird watching. She saw a total of 24 birds. How many more robins did she see than cardinals?

Answer: 4 cardinals and 20 robins.

Explanation: Let the cardinals be X and robins be 5X. Then the total is 5X+X=24 then X= 4. So Carlita saw 4 cardinals and 5×4= 20 robins.

Multiplication Comparisons – Page No. 72

Question 8.
To get to a dog show, Mr. Luna first drives 7 miles west from his home and then 3 miles north. Next, he turns east and drives 11 miles. Finally, he turns north and drives 4 miles to the dog show. How far north of Mr. Luna’s home is the dog show? To solve the problem, Dara and Cliff drew diagrams. Which diagram is correct? Explain.

Answer: Cliff diagram is correct.

Explanation: Mr. Luna’s travels east and west are irrelevant to the question. As he drives 3 miles north, then he drives 4 more miles north. 3 + 4 = 7, so Mr. Luna ends up 7 miles north of his home.

Question 9.
Use Reasoning Valerie and Bret have a total of 24 dog show ribbons. Bret has twice as many ribbons as Valerie. How many ribbons does each have?
Valerie’s ribbons: ______          Bret’s ribbons: ______

Answer: Valerie has 8 and Bret has 16.

Explanation: Let the Valerie ribbons be X and Bret’s ribbons be 2X and the total be X+2X= 24. Therefore X= 8.
Valerie has 8 and Bret has 2×8= 16.

Question 10.
Noah built a fenced dog run that is 8 yards long and 6 yards wide. He placed posts at every corner and every yard along the length and width of the run. How many posts did he use?

Answer: 2×7+2×5+4(as he posted at every corner)= 14+10+4= 28 posts

Explanation: As there are 7 posts along one 8 yard side and 5 posts along one 6 yard side, so he used 2×7+2×5+4(as he posted at every corner)= 14+10+4= 28 posts

Question 11.
Last weekend, Mandy collected 4 times as many shells as Cameron. Together, they collected 40 shells. How many shells did Mandy collect? Complete the bar model. Then, write an equation and solve.

 

Common Core – Comparison Problems – Page No. 73

Draw a model. Write an equation and solve.

Question 1.
Stacey made a necklace using 4 times as many blue beads as red beads. She used a total of 40 beads. How many blue beads did Stacey use?

Go Math Grade 4 Lesson 2.2 Answer Key Question 2.
At the zoo, there were 3 times as many monkeys as lions. Tom counted a total of 24 monkeys and lions. How many monkeys were there?
______ monkeys

Answer: 18 monkeys.

Explanation:

Question 3.
Fred’s frog jumped 7 times as far as Al’s frog. The two frogs jumped a total of 56 inches. How far did Fred’s frog jump?

Answer: 49 inches.

Explanation:

Question 4.
Sheila has 5 times as many markers as Dave. Together, they have 18 markers. How many markers does Sheila have?

Answer:

Explanation: 15 markers.

Problem Solving

Question 5.
Rafael counted a total of 40 white cars and yellow cars. There were 9 times as many white cars as yellow cars. How many white cars did Rafael count?

Answer: 36 white cars.

Explanation: Let yellow cars be X, As white cars are 9 times as many as yellow cars, So white cars be 9X. Therefore 9X+X=40, X=4. So no.of white cars are 9×4= 36.

Question 6.
Sue scored a total of 35 points in two games. She scored 6 times as many points in the second game as in the first. How many more points did she score in the second game?

Answer: 30 points.

Explanation: Let the first game points be X and the second game points be 6X. Sue’s total score is 35 points in two games so 6X+X= 35 then X is 5. Therefore the second game score is 6×5= 30.

Algebra Multiplication Comparisons Lesson 2.2 Reteach Question 7.
Write a problem involving how much more than and solve it. Explain how drawing a diagram helped you solve the problem.

Answer: Mike has 10 chocolates and John has 5 chocolates. How many more chocolates does Chirs have?
5 chocolates more Chirs have.

Explanation: As Mike has 10 chocolates and John has 5 chocolates, Chirs has 5 more chocolates than John.

Common Core – Comparison Problems – Lesson Check – Page No. 74

Question 1.
Sari has 3 times as many pencil erasers as Sam. Together, they have 28 erasers. How many erasers does Sari have?
Options:
a. 7
b. 14
c. 18
d. 21

Answer: d

Explanation: Let the X be pencil erasers of Sam and Sari erasers be 3X. As Sari and Sam together have 28 erasers. So 3X+X= 28. And X is 7. Then Sari has 3×7= 21.

Question 2.
In Sean’s fish tank, there are 6 times as many goldfish as guppies. There are a total of 21 fish in the tank. How many more goldfish are there than guppies?
Options:
a. 5
b. 12
c. 15
d. 18

Answer: d

Explanation: Let Guppies be X and Goldfishes be 6X. And the total fishes are 21, So X+6X= 21 then X= 3.
So Goldfishes are 6×3= 18.

Spiral Review

Question 3.
Barbara has 9 stuffed animals. Trish has 3 times as many stuffed animals as Barbara. How many stuffed animals does Trish have?
Options:
a. 3
b. 12
c. 24
d. 27

Answer: d

Explanation: Barbara has 9 stuffed animals and Trish has 3 times as Barbara, So 9×3= 27.

4th Grade Go Math Pdf Chapter 2 Lesson 2 Answer Key Question 4.
There are 104 students in the fourth grade at Allison’s school. One day, 15 fourth-graders were absent. How many fourth-graders were at school that day?
Options:
a. 89
b. 91
c. 99
d. 119

Answer: a

Explanation: Total number of students in fourth grade is 104, as 15 students were absent 104-15= 89.

Question 5.
Joshua has 112 rocks. Jose has 98 rocks. Albert has 107 rocks. What is the correct order of the boys from the least to the greatest number of rocks owned?
Options:
a. Jose, Albert, Joshua
b. Jose, Joshua, Albert
c. Albert, Jose, Joshua
d. Joshua, Albert, Jose

Answer: a

Explanation: As 98<107<112. So Jose, Albert, Joshua.

Question 6.
Alicia has 32 stickers. This is 4 times as many stickers as Benita has. How many stickers does Benita have?
Options:
a. 6
b. 8
c. 9
d. 28

Answer: 8.

Explanation: Let Benita stickers be S and Alicia has 32 stickers, So 4×S= 32. Therefore Benita stickers are 8.

Comparison Problems – Page No. 77

Question 1.
Use the drawing to find 2 × 500.

Answer: 2×= 1000.

Explanation: 2×500 is 2 times 5 hundreds, which is equal to 10 hundreds and 10 hundreds are equal to 1000.

Complete the pattern.

Question 2.
3 × 8 = 2
i. 3 × 80 = _____
ii. 3 × 800 = _____
iii. 3 × 8,000 = _____

Answer: 240, 2400, 24,000.

Explanation: 3×80= 240
3×800= 2400
3×8000= 24,000

Question 3.
6 × 2 = 12
i. 6 × 12 = _____
ii. 6 × 120 = _____
iii. 6 × 1,200 = _____

Answer: 72, 720, 7200.

Explanation: 6×12= 72
6×120= 720
6×1200= 7200.

Question 4.
i. 4 × 5 = _____
ii. 4 × 50 = _____
iii. 4 × 500 = _____
iv. 4 × 5,000 = _____

Answer: 20, 200, 2000, 20,000.

Explanation: 4×5= 20
4×50= 200
4×500= 2000
4×5,000= 20,000.

Find the product.

Question 5.
6 × 500 = 6 × _____ hundreds
= _____ hundreds
= _____

Answer: 6×5 hundreds = 30  hundreds.

Explanation: 6 × 500 = 6 × 5 hundreds = 30 hundreds = 3000

Question 6.
9 × 5,000 = 9 × _____ thousands
= _____ thousands
= _____

Answer: 9 × 5 thousands = 45 thousands.

Explanation: 9 × 5 thousands = 45 thousands. = 45,000.

Find the product.

Question 7.
7 × 6,000 = _____

Answer: 42,000.

Explanation:

Question 8.
4 × 80 = _____

Answer: 320

Explanation:

Question 9.
3 × 500 = _____

Answer: 1500

Explanation:

Use Reasoning Algebra Find the missing factor.

Question 10.
_____ × 9,000 = 63,000

Answer: 7

Explanation: As 7×9= 63

Question 11.
7 × _____ = 56,000

Answer: 8

Explanation: 7×8= 56.

Question 12.
8 × _____ = 3,200

Answer: 4

Explanation: 8×4= 32.

Question 13.
Communicate How does the number of zeros in the product of 8 and 5,000 compare to the number of zeros in the factors? Explain.

Answer: 8×5=40.

Explanation: There are 4 zeros in the product and 3 zeros only in the factors. Because there is a zero in basic fact as 8×5=40.

Comparison Problems – Page No. 78

Question 14.
Joe’s Fun and Sun rents beach chairs. The store rented 300 beach chairs each month in April and in May. The store rented 600 beach chairs each month from June through September. How many beach chairs did the store rent during the 6 months?
a. What do you need to know?

Answer: We need to know about the total number of beach chairs rented during the 6 months.

Question 14.
b. How will you find the number of beach chairs?

Answer: 300×2= 600 and 600×4= 2400. Total beach chairs are 3000

Explanation: We will multiply 2 times 300 and 4 times 600 and the will add the product.

Question 14.
c. Show the steps you use to solve the problem.

Answer: 300×2= 600 and 600×4= 2400. Total beach chairs are 3000.

Question 14.
d. Complete the sentences.
For April and May, a total of ______ beach chairs were rented.

Answer: 600

Explanation: As the store rented 300 beach chairs in April and May, So 300×2= 600.

Question 14.
For June through September, a total of _____ beach chairs were rented.

Answer: 2400

Explanation: As the store rented 600 beach chairs from June to September, So 600×4= 2400.

Question 14.
Joe’s Fun and Sun rented _____ beach chairs during the 6 months.

Answer: 3,000

Explanation: 300×2= 600 and 600×4= 2400. Total beach chairs are 3000.

Go Math Grade 4 Chapter 2 Extra Practice Answer Key Question 15.
Mariah makes bead necklaces. Beads are packaged in bags of 50 and bags of 200. Mariah bought 4 bags of 50 beads and 3 bags of 200 beads. How many beads did Mariah buy?

Answer: 800 beads.

Explanation: Mariah bought 4 bags of 50 beads which is 4×50= 200 beads. And 3 bags of 200 beads which is 3×200= 600. Total beads Mariah bought are 200+600= 800.

Question 16.
Carmen has three books of 20 stamps and five books of 10 stamps. How many stamps does Carmen have? Complete the equation using the numbers on the tiles.

______ × 20 + ______ × 10 = ______

Answer: 3, 5, 110

Explanation: 3×20+5×10= 110.

Common Core – Multiply Tens, Hundreds, and Thousands – Page No. 79

Find the product.

Question 1.
4 × 7,000 = 28,000
Think: 4 × 7 = 28
So, 4 × 7,000 = 28,000

Question 2.
9 × 60 = _____

Answer: 540

Explanation: 9×6= 54.

Question 3.
8 × 200 = _____

Answer: 1600

Explanation: 8×2=16

Question 4.
5 × 6,000 = _____

Answer: 30,000.

Explanation: 5×6=30.

Question 5.
7 × 800 = _____

Answer: 5600

Explanation: 7×8= 56.

Question 6.
8 × 90 = _____

Answer: 720

Explanation: 8×9=72.

Question 7.
6 × 3,000 = _____

Answer: 18,000.

Explanation: 6×3= 18.

Question 8.
3 × 8,000 = _____

Answer: 24,000

Explanation: 3×8= 24.

Question 9.
5 × 500 = _____

Answer: 2500.

Explanation: 5×5= 25.

Question 10.
9 × 4,000 = _____

Answer: 36,000

Explanation: 9×4= 36.

Go Math Grade 4 Chapter 2 Pdf Question 11.
7 × 7,000 = _____

Answer: 49,000.

Explanation: 7×7= 49.

Question 12.
3 × 40 = _____

Answer: 120.

Explanation: 3×4= 12.

Question 13.
4 × 5,000 = _____

Answer: 20,000.

Explanation: 4×5= 20.

Question 14.
2 × 9,000 = _____

Answer: 18,000

Explanation: 2×9= 18.

Problem Solving

Question 15.
A bank teller has 7 rolls of coins. Each roll has 40 coins. How many coins does the bank teller have?

Answer: 280 coins.

Explanation: Bank teller has 7 rolls of coins. As each roll has 40 coins, So total coins are 7×40= 280

Question 16.
Theo buys 5 packages of paper. There are 500 sheets of paper in each package. How many sheets of paper does Theo buy?

Answer: 2,500.

Explanation: Total number of sheets of papers in each package are 500, And Theo buys 5 packages of papers.
So total sheets of paper Theo bought are 500×5= 2,500.

Common Core – Multiply Tens, Hundreds, and Thousands – Lesson Check – Page No. 80

Question 1.
A plane is traveling at a speed of 400 miles per hour. How far will the plane travel in 5 hours?
Options:
a. 200 miles
b. 2,000 miles
c. 20,000 miles
d. 200,000 miles

Answer: b

Explanation: The speed of the plane is 400 miles per hour. In 5 hours plane can travel 400×5= 2,000 miles.

Question 2.
One week, a clothing factory made 2,000 shirts in each of 6 different colors. How many shirts did the factory make in all?
Options:
a. 2,000
b. 12,000
c. 120,000
d. 200,000

Answer: b

Explanation: Shirts made in one week are 2000 in 6 different colors. So total shirts made in all are 2000×6= 12,000.

Spiral Review

Question 3.
Which comparison sentence best represents the equation?
6 × 7 = 42
Options:
a. 7 is 6 times as many as 42.
b. 6 is 7 times as many as 42.
c. 42 is 6 times as many as 7.
d. 6 more than 7 is 42.

Answer: c

Explanation: By comparing 42= 6×7 represents the equation.

Question 4.
The population of Middleton is six thousand, fifty-four people. Which of the following shows this number written in standard form?
Options:
a. 654
b. 6,054
c. 6,504
d. 6,540

Answer: b

Explanation: Six thousand fifty-four is equal to 6,054.

Question 5.
In an election for mayor, 85,034 people voted for Carl Green and 67,952 people voted for Maria Lewis. By how many votes did Carl Green win the election?
Options:
a. 17,082
b. 17,182
c. 22,922
d. 152,986

Answer: a

Explanation: Total votes Carl Green has got are 85,034and Maria Lewis got are 67,952. By 85,034-67,952= 17,082 votes Carl Green won the election.

Question 6.
Meredith picked 4 times as many green peppers as red peppers. If she picked a total of 20 peppers, how many green peppers did she pick?
Options:
a. 4
b. 5
c. 16
d. 24

Answer: c

Explanation: Let the red peppers be X and green peppers be 4X, And the total she picked is 20 peppers. So X+4X=20,
Then X=4. Green peppers she picked are 4×4= 16.

Multiply Tens, Hundreds, and Thousands – Page No. 83

Question 1.
Estimate the product by rounding.
5 × 2,213
_____ × _____ = _____

Answer: 5×2000= 10,000

Explanation: The rounding off for 2,213 is 2000. So 5×2000= 10,000.

Question 2.
Estimate the product by finding two numbers the exact answer is between.
5 × 2,213

Answer: 5×2000= 10,000 and 5×3000= 15,000.

Explanation: The rounding off for 2,213 is 2000 and 3000. So 5×2000= 10,000 and 5×3000= 15,000.

Tell whether the exact answer is reasonable.

Question 3.
Kira needs to make color copies of a horse show flyer. The printer can make 24 copies in 1 minute. Kira says the printer makes 114 copies in 6 minutes.

Answer: Kira is incorrect.

Explanation: As the printer can make 24 copies in 1 minute, So if we take 24 rounds off to 20 or 30 then the printer makes 120 or 180 copies. So Kira is incorrect.

Question 4.
Jones Elementary is having a car wash to raise money for a community horse trail. Each car wash ticket costs $8. Tiara says the school will receive $1,000 if 125 tickets are sold.

Answer: Tiara says correct.

Explanation: As 1000÷125= 8 which is each car wash ticket cost. So the answer is reasonable.

Tell whether the exact answer is reasonable.

Question 5.
Evaluate Reasonableness Mrs. Hense sells a roll of coastal Bermuda horse hay for $58. She says she will make $174 if she sells 3 rolls.

Answer: The answer is reasonable.

Explanation: As 174 is the nearest rounding off to 180. So the answer is reasonable.

Question 6.
Mr. Brown sells horse supplies. A pair of riding gloves sells for $16. He says he will make $144 if he sells 9 pairs.

Answer: The answer is reasonable

Explanation: As 144 is between 90 and 180, So the answer is reasonable. Here we will take rounding off for 9 as 10 and 20. So the answer must be between 90 and 180.

Question 7.
Path A and Path B are walking paths used for horses. Path A is 118 feet long. Path B is 180 feet long. Carlos walks his horse down each path 3 times. Which path did Carlos use to walk his horse about 500 feet? Explain.

Answer: Path B

Explanation: 118 is rounded off to 100 and then multiply with 3, 100  Then round off 180 to 200 and multiply with 3, 200  As 500 is closer to estimate of 600 compared to 300. So Path B is correct.

Go Math Grade 5 Chapter 2 Test Pdf Question 8.
Students in the third grade sell 265 tickets to the school play. Students in the fourth grade sell 3 times as many tickets as the third-grade students. Estimate the number of tickets the fourth-grade students sold by finding the two numbers the exact answer is between.
The students sold between

Answer: 600 and 900.

Explanation: 1let 265 be rounded off 200 and 300. As fourth-grade students sell 3 times as many as third-grade students, So 200 and 300  So tickets sold between 600 and 900.

Multiply Tens, Hundreds, and Thousands – Page No. 84

Predict whether the exact answer will be less than or greater than the estimate. Explain your answer.

Question 9.
The food stand at the zoo sold 2,514 pounds of hamburger last month. The average cost of a pound of hamburger is $2. Jeremy estimates that about $6,000 worth of hamburger was sold last month.

Answer: Lesser than the actual amount of hamburger.

Explanation: As the amount of hamburger sold is 468 pounds less than the estimated amount of 3000 pounds. So, the answer will be less than estimated.

Question 10.
A zoo bought 2,240 pounds of fresh food for the bears this month. The average cost of a pound of food is $4. Jeremy estimates that about $8,000 was spent on fresh food for the bears this month.

Answer: Greater than the actual amount of food bought.

Explanation: As the actual amount of food bought for the bears this month was 240 pounds greater than the estimated amount of 2,000 pounds. So, the answer will be greater than the estimated amount.

Common Core – Estimate Products – Page No. 85

Estimate the product by rounding.

Question 1.
4 × 472
4 × 472
↓
4 × 500 = 2,000

Question 2.
2 × 6,254

Answer: 12,000.

Explanation: The nearest rounding off for 6,254 is 6,000. So 2×6,000= 12,000.

Question 3.
9 × 54

Answer: 450

Explanation: The nearest rounding off for 54 is 50. So 9×50= 450.

Question 4.
5 × 5,503

Answer: 30,000.

Explanation: The nearest rounding off for 5,503 is 6,000. So 5×6,000= 30,000.

Question 5.
3 × 832

Answer: 2,400.

Explanation: The nearest rounding off for 832 is 800. So 3×800= 2,400.

Question 6.
6 × 98

Answer: The nearest rounding off for 98 is 100. So 6×100= 600.

Go Math Grade 4 Estimate Products Lesson 2.4 Question 7.
8 × 3,250

Answer: The nearest rounding off for 3,250 is 3,000. So 8×3,000= 24,000.

Question 8.
7 × 777

Answer: 5,600.

Explanation: The nearest rounding off for 777 is 800. So 7×800= 5,600.

Find two numbers the exact answer is between.

Question 9.
3 × 567

Answer: 1500 and 1800.

Explanation: The rounding off for 567 is 500 and 600. So 3×500= 1500 and 3×600= 1800.

Question 10.
6 × 7,381

Answer: 42,000 and 48,000.

Explanation: The rounding off for 7,381 is 7,000 and 8,000. So 6×7000= 42,000 and 6×8000= 48,000.

Question 11.
4 × 94

Answer: 360 and 400.

Explanation: The rounding off for 94 is 90 and 100. So 4×90= 360 and 4×100= 400.

Question 12.
6 × 684

Answer: 3600 and 4200

Explanation: The rounding off for 684 is 600 and 700. So 6×600= 3600 and 6×700= 4200.

Problem Solving

Question 13.
Isaac drinks 8 glasses of water each day. He says he will drink 2,920 glasses of water in a year that has 365 days. Is the exact answer reasonable? Explain

Answer: Yes.

Explanation: As the round-off for 365 can be 300 or 400. So 8×300= 2,400 and 8×400= 3,200. The estimated answer can be between 2,400 to 3,200. So the answer is Yes.

Question 14.
Most Americans throw away about 1,365 pounds of trash each year. Is it reasonable to estimate that Americans throw away over 10,000 pounds of trash in 5 years? Explain.

Answer: No.

Explanation: As the round-off for 1,365 can be 1000 or 2000. So 5×1000= 5,000 and 5×2000= 10,000. The estimated answer can be between 5,000 to 10,000.

Common Core – Estimate Products – Lesson Check – Page No. 86

Question 1.
A theater has 4,650 seats. If the theater sells all the tickets for each of its 5 shows, about how many tickets will the theater sell in all?
Options:
a. 2,500
b. 10,000
c. 25,000
d. 30,000

Answer: c

Explanation: As the nearest round off for 4,650 is 5,000. So 5,000×5= 25,000.

Question 2.
Washington Elementary has 4,358 students. Jefferson High School has 3 times as many students as Washington Elementary. About how many students does Jefferson High School have?
Options:
a. 16,000
b. 12,000
c. 10,000
d. 1,200

Answer: b

Explanation: As the nearest round off for 4,358 is 4,000. So 4,000×3= 12,000.

Spiral Review

Question 3.
Diego has 4 times as many autographed baseballs as Melanie has. Diego has 24 autographed baseballs. How many autographed baseballs does Melanie have?
Options:
a. 28
b. 20
c. 8
d. 6

Answer: d

Explanation: Let the Melanie baseballs be S. As Diego has 4 times as many as Melanie and Diego has a total of 24 baseballs. So 4×S= 24, Then S= 24÷4 which is 6.

Go Math Grade 4 Lesson 2.4 Estimate Products Question 4.
Mr. Turkowski bought 4 boxes of envelopes at the office supply store. Each box has 500 envelopes. How many envelopes did Mr. Turkowski buy?
Options:
a. 200
b. 504
c. 2,000
d. 20,000

Answer: c

Explanation: Turkowski has 4 boxes of envelopes and each box contains 500 envelopes, So total envelopes did Turkowski bought are 4×500= 2,000.

Question 5.
Pennsylvania has a land area of 44,816 square miles. Which of the following shows the land area of Pennsylvania rounded to the nearest hundred?
Options:
a. 44,000 square miles
b. 44,800 square miles
c. 44,900 square miles
d. 45,000 square miles

Answer: b.

Explanation: As the nearest round off for 44,816 is 44,800.

Question 6.
The table shows the types of DVDs customers rented from Sunshine Movie Rentals last year.

How many comedy and action movies were rented in all last year?
Options:
a. 13,620
b. 13,000
c. 12,260
d. 10,752

Answer: c

Explanation: Comedy and action movies that are rented in last year are 6,720+5,540= 12,260.

Estimate Products – Page No. 89

Model the product on the grid. Record the product.

Question 1.
3 × 13

3 × 13 = _____

Answer: 39

Explanation: 3×13= 3 ×(10+3)
=(3×10)+ (3×3)
=30+9
=39

Question 2.
5 × 14

5 × 14 = _____

Answer: 70.

Explanation: 5×14 = 5×(10+4)
= (5×10)+(5×4)
= 50+20
= 70

Find the product.

Question 3.
6 × 14

6 × 14 = ______

Answer: 84

Explanation: 6×14= 6×(10+4)
= (6×10)+(6×4)
= 60+24
= 84

Question 4.
5 × 18

5 × 18 = ______

Answer: 90

Explanation: 5 × 18 =5 ×(10+8)
= (5 × 10)+ (5 ×8)
= 50+40
= 90.

Go Math 4th Grade Lesson 2.4 Answer Key Question 5.
4 × 16

4 × 16 = ______

Answer: 64

Explanation: 4 × 16= (4 × 10)+( 4 ×6)
= 40+24
= 64.

Use grid paper or base-ten blocks to model the product.
Then record the product.

Question 6.
7 × 12 = ______

Answer: 84

Explanation: 7×12 = 7×(10+2)
=(7×10)+(7×2)
=70+14
84

Question 7.
5 × 16 = ______

Answer: 80

Explanation: 5×16= 5×(10+6)
=(5×10)+(5×6)
= 50+30
= 80

Question 8.
9 × 13 = ______

Answer: 117

Explanation: 9 × 13 = 9 ×(10+3)
=(9×10)+(9×3)
=90+27
=117

Question 9.
Explain how modeling partial products can be used to find the products of greater numbers.

Answer: 25 3= (20+5) 3
=(20×3)+(5×3)= 60+15=75

Explanation: Multiplication is easy. For example, if we take 25 3= (20+5) 3
=(20×3)+(5×3)= 60+15=75

Question 10.
Use the Distributive Property to model the product on the grid. Record the product.
4 × 14 = _____

Answer: 56.

Explanation: 4×14= 4×(10+4)
=(4×10)+(4×4)
=40+16
=56

Estimate Products – Page No. 90

Question 11.
Kyle went to a fruit market. The market sells a wide variety of fruits and vegetables. The picture at the right shows a display of oranges. Write a problem that can be solved using the picture.

Answer: A shopkeeper has oranges. He keeps his oranges in the basket having 6 rows and each row has 12 oranges. So how many oranges he owned?

Explanation: From the above picture we can see 6 rows and 12 columns of Oranges.
So the total number of Oranges is 6 × 12 = 72 Oranges.

Question 12.
Describe how you could change the problem by changing the number of rows of oranges and the number of empty spaces in the picture. Then solve the problem.

Common Core – Multiply Using the Distributive Property – Page No. 91

Model the product on the grid. Record the product.

Question 1.
4 × 19 = 76

4 × 10 = 40 and 4 × 9 = 36
40 + 36 = 76

Question 2.

5 × 13 = ______

Answer: 65.

Explanation:
5×10= 50 and 5×3= 15
50+15= 65.

Find the product.

Question 3.

4 × 14 = ______

Answer: 56

Explanation:
4×10= 40 and 4×4= 16
40+16= 56.

Question 4.

3 × 17 = ______

Answer: 51

Explanation:
3×10=30 and 3×7= 21
30+21= 51

Question 5.

6 × 15 = ______

Answer: 90

Explanation:
6×10= 60 and 6×5= 30
60+30= 90

Problem Solving

Question 6.
Michael arranged his pennies in the following display.

How many pennies does Michael have in all?

Answer: 91

Explanation: As there are 7 columns and 13 rows, So 13×7= 91.

Question 7.
A farmer has an apple orchard with the trees arranged as shown below.

If the farmer wants to pick one apple from each tree, how many apples will he pick?

Answer: 70

Explanation: As there are 5 columns and 14 rows, So 5×14= 70.

Common Core – Multiply Using the Distributive Property – Lesson Check – Page No. 92

Question 1.
The model shows how Maya planted flowers in her garden.

How many flowers did Maya plant?
Options:
a. 15
b. 18
c. 30
d. 45

Answer: d

Explanation: As 3×10= 30 and 3×5= 15
30+15= 45.

Question 2.
The model below represents the expression 5 x 18.

How many tens will there be in the final product?
Options:
a. 5
b. 6
c. 8
d. 9

Answer: d

Explanation: As 5×18 is 90 and 90÷10= 9. So answer is 9.

Spiral Review

Question 3.
Center City has a population of twenty one thousand, seventy people. Which of the following shows the population written in standard form?
Options:
a. 21,007
b. 21,070
c. 21,077
d. 21,700

Answer: b

Explanation: Twenty-one thousand seventy is equal to 21,070.

Multiply Using The Distributive Property Lesson 2.5 Answer Key Question 4.
Central School collected 12,516 pounds of newspaper to recycle. Eastland School collected 12,615 pounds of newspapers. How many more pounds of newspaper
did Eastland School collect than Central School?
Options:
a. 99 pounds
b. 101 pounds
c. 199 pounds
d. 1,099 pounds

Answer: a

Explanation: Central school has collected 12,516 pounds and Eastland school collected 12,615 pounds. So
12,615-12,516= 99.

Question 5.
Allison has 5 times as many baseball cards as football cards. In all, she has 120 baseball and football cards. How many baseball cards does Allison have?
Options:
a. 20
b. 24
c. 96
d. 100

Answer: d

Explanation: Let Football cards be X and baseball cards be 5X. So 5X+X= 120 in which X= 20. As Allison has 5 times as many baseball cards as football cards. So 5×20= 100.

Question 6.
A ruby-throated hummingbird beats its wings about 53 times each second. About how many times does a ruby throated hummingbird beat its wings in 5 seconds?
Options:
a. 25
b. 58
c. 250
d. 300

Answer: c

Explanation: As the nearest round-off for 53 is 50, So 50×5= 250.

Multiply Using the Distributive Property – Page No. 95

Question 1.
Find 4 × 213. Use expanded form.


_____

Record the product. Use the expanded form to help.

Question 2.
4 × 59 = _____

Answer: 236

Explanation: 4×(50+9)
= (4×50)+(4×9)
= 200+36
= 236.

Question 3.
3 × 288 = _____

Answer: 864

Explanation: 3×(200+80+8)
= (3×200)+(3×80)+(3×8)
= 600+240+24
= 864.

Record the product. Use the expanded form to help.

Question 4.
4 × 21 = _____

Answer: 84

Explanation: 4×(20+1)
= (4×20)+(4×1)
= 80+4
= 84.

Question 5.
6 × 35 = _____

Answer: 210

Explanation: 6×(30+5)
= (6×30)+(6×5)
= 180+30
= 210.

Question 6.
A hotel has 128 rooms on each floor. There are 4 floors in all. If 334 of the rooms in the hotel have been cleaned, how many rooms still need to be cleaned?

Answer: 178.

Explanation: The total floors in a hotel are 4 and each floor has 128 rooms, So total rooms in the hotel are 128×4= 512.
Of 512 rooms 334 were cleaned and the remaining rooms yet to be cleaned are 512-334= 178.

Question 7.
Ben wants to buy 2 blue sweaters for $119 each and 3 brown sweaters for $44 each. How much will Ben spend on the five sweaters?

Answer: $370.

Explanation: Ben wants to buy 2 blue sweaters for $119 each, So 119×2= 238. And 3 brown sweater for $44 each which means 44×3= 132. The total he spent on five sweaters is 238+132= 370.

Question 8.
A jeweler has 36 inches of silver chain. She needs 5 times that much to make some necklaces and 3 times that amount to make some bracelets. How much silver chain does the jeweler need to make her necklaces and bracelets?

Answer: 288 inches.

Explanation: As the jeweler has 36 inches of silver chain and she needs 5 times to make some necklaces which means 36×5= 180 and 3 times to make a bracelet which means 36×3= 108. So the total sliver she needs is 180+108= 288.

Question 9.
Gretchen walks her dog 3 times a day. Each time she walks the dog, she walks 1,760 yards. How many yards does she walk her dog in 3 days?

Answer: 15,840 yards.

Explanation: Gretchen walks 3 times a day which means for 3 days it will be 9 times. As she walks 1,760 yards, So 1760×9= 15,840.

Question 10.
Write an Expression Which expression could you write to show how to multiply 9 × 856 using place value and expanded form?

Answer: (9×800)+(9×50)+(9×6)

Explanation: Place value is the value of each digit in a number. So 856 can be expanded as 800+50+6.

Question 11.
Jennifer bought 4 packages of tacks. There are 48 tacks in a package. She used 160 of the tacks to put up posters. How many tacks does she have left? Explain.

Answer: 32.

Explanation: Jennifer bought 4 packages of tacks and each package contains 48 tacks. So total tacks are 48×4= 192.
As she used 160 tacks total tacks she left are 192-160= 32

Multiply Using the Distributive Property – Page No. 96

Use the table for 12–13.

Question 12.
What is the total cost of 3 Italian cypress trees?

Answer: $237.

Explanation: The cost of each Italian cypress tree is $79.  The total cost of 3 Italian cypress trees is 79×3= 237.

Go Math Grade 4 Lesson 2.5 Answer Key Homework Question 13.
What’s the Error? Tanya says that the difference in the cost of 4 flowering cherry trees and 4 Muskogee crape myrtles is $80. Is she correct? Explain.

Answer: No, Because she used a normal price instead of the discounted price.

Explanation: For 4 and above trees, there is a discount price. So she is wrong.

Question 14.
What is the greatest possible product of a 2-digit number and a 1-digit number? Explain how you know.

Answer: 891.

Explanation: The greatest 2 digit number is 99 and the greatest single-digit number is 9. So the product is
99×9= 891.

Question 15.
Multiply 5 × 381 using place value and expanded form. Select a number from each box to complete the expression.

Answer: (5×300)+(5×80)+(5×1).

Explanation: The expanded form of 381 is 300+80+1.

Common Core – Multiply Using Expanded Form – Page No. 97

Record the product. Use expanded form to help.

Question 1.
7 × 14 = 98
7 × 14 = 7 × (10 + 4)
= (7 × 10) + (7 × 4)
= 70 + 28
= 98

Question 2.
8 × 43 = _____

Answer: 344.

Explanation: 8×(40+3)
= (8×40)+(8×3)
= 320+24
= 344.

Question 3.
6 × 532 = _____

Answer: 3,192.

Explanation: 6×(500+30+2)
= (6×500)+(6×30)+(6×2)
= 3000+180+12
= 3,192.

Question 4.
5 × 923 = _____

Answer: 4,615

Explanation: 5×923= 5×(900+20+3)
=(5×900)+(5×20)+(5×3)
=4500+100+15
=4,615.

Question 5.
4 × 2,371 = _____

Answer: 9,484

Explanation: 4×2,371= 4×(2000+300+70+1)
= (4×2,000)+(4×300)+(4×70)+(4×1)
=8000+1200+280+4
=9,484

Question 6.
7 × 1,829 = _____

Answer: 12,803

Explanation: 7×1,829= 7×(1,000+800+20+9)
=(7×1,000)+( 7×800)+( 7×20)+( 7×9)
=7,000+5600+140+63
=12,803

Problem Solving

Question 7.
The fourth-grade students at Riverside School are going on a field trip. There are 68 students on each of the 4 buses. How many students are going on the field trip?

Answer: 272 students.

Explanation: No. of buses are 4 and on each bus, there are 68 students. So 68 4= 272.

Question 8.
There are 5,280 feet in one mile. Hannah likes to walk 5 miles each week for exercise. How many feet does Hannah walk each week?

Answer: 26,400 feet.

Explanation: There are 5,280 feet in one mile and Hannah walks 5 miles each week, So 5,280 5= 26,400.

Common Core – Multiply Using Expanded Form – Lesson Check – Page No. 98

Question 1.
Which expression shows how to multiply 7 × 256 by using expanded form and the Distributive Property?
Options:
a. (7 × 2) + (7 × 5) + (7 × 6)
b. (7 × 200) + (7 × 500) + (7 × 600)
c. (7 × 2) + (7 × 50) + (7 × 600)
d. (7 × 200) + (7 × 50) + (7 × 6)

Answer: d

Explanation: By Distributive property of multiplication 7×256=(7×200)+(7×50)+(7×6)

Question 2.
Sue uses the expression (8 × 3,000) + (8 × 200) + (8 × 9) to help solve a multiplication problem. Which is Sue’s multiplication problem?
Options:
a. 8 × 329
b. 8 × 3,029
c. 8 × 3,209
d. 8 × 3,290

Answer: b

Explanation: The expression (8×3,000)+(8×200)+(8×9) is written in the Distributive property of multiplication. So 8×3,029.

Spiral Review

Question 3.
What is another way to write 9 × 200?
Options:
a. 18 ones
b. 18 tens
c. 18 hundreds
d. 18 thousands

Answer: c

Explanation: 9×200= 1800

Question 4.
What is the value of the digit 4 in 46,000?
Options:
a. 4 ten thousands
b. 4 thousands
c. 4 hundreds
d. 4 tens

Answer: a

Explanation: The place value of 4 in 46,000 is 40,000.

Question 5.
Chris bought 6 packages of napkins for his restaurant. There were 200 napkins in each package. How many napkins did Chris buy?
Options:
a. 120
b. 1,200
c. 12,000
d. 120,000

Answer: b

Explanation: The total packages are 6 and each package contains 200 napkins. So 6 200=1,200.

Lesson 2.6 Multiply Using Expanded Form Question 6.
Which of the following lists the numbers in order from least to greatest?
Options:
a. 8,512; 8,251; 8,125
b. 8,251; 8,125; 8,512
c. 8,125; 8,512; 8,251
d. 8,125; 8,251; 8,512

Answer: d

Explanation: 8,125>8,251>8,512.

Multiply Using Expanded Form – Page No. 101

Question 1.
Use the model to find 2 × 137.

Answer: 274.

Explanation: 2×137= 2×(100+30+7)
=(2×100)+(2×30)+(2×7)
=200+60+14
=274.

Estimate. Then record the product.

Question 2.
1 9 0
×   3
———–
Estimate: ________
Product: ________

Answer:
Estimate: 600
Product: 570.

Explanation: Round off 190 to 200 and 200×3= 600. And the product is 190×3= 570.

Question 3.
4 7 1
×   4
———–
Estimate: ________
Product: ________

Answer:
Estimate: 2000
Product: 1884.

Explanation: Round off 471 to 500 and 500×4= 2000. And the product is 471×4= 1884.

Question 4.
3, 439
×     7
———–
Estimate: ________
Product: ________

Answer:
Estimate: 24,500
Product: 24,073.

Explanation: Round off 3,439 to 3500 and 3500×7= 24,500. And the product is 35000×7= 24,073.

Estimate. Then record the product.

Question 5.
$ 5 3
×   4
———–
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $ 240
Product: $ 212

Explanation: Round off 53 to 60 and 60×4= 240. And the product is 53×4= 212.

Go Math 4th Grade Lesson 2.6 Answer Key Question 6.
$ 4 7 3
×      4
———–
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $2,000
Product: $1,892.

Explanation: Round off 473 to 500 and 500×4= 2,000. And the product is 473×4= 1892.

Question 7.
6 0 8
×    6
———–
Estimate: ________
Product: ________

Answer:
Estimate: 4,200
Product: 3,648

Explanation: Round off 608 to 700 and 700×6= 4,200. And the product is 608×6= 3,648.

Practice: Copy and Solve Estimate. Then record the product.

Question 8.
2 × 78 =
Estimate: ________
Product: ________

Answer:
Estimate: 200
Product: 156

Explanation: Round off 78 to 100 and 100×2= 200. And the product is 78×2= 156.

Question 9.
2 × $210 =
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $600
Product: $420

Explanation: Round off 210 to 300 and 300×2= 600. And the product is 210×2= 420.

Question 10.
2 × $682 =
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $1,400.
Product: $1,364

Explanation: Round off 682 to 700 and 700×2= 1400. And the product is 682×2= 1364.

Question 11.
8 × 8,145 =
Estimate: ________
Product: ________

Answer:
Estimate: 68,000.
Product: 65,160.

Explanation: Round off 8,145 to 8,500 and 8,500×8= 68,000. And the product is 8145×8= 65,160.

Use Reasoning Algebra Find the missing digit.

Question 12.
■5
× 7
————-
455
■ = _____

Answer: 65

Explanation: 65×7= 455.

Question 13.
2 4 8
×   3
————-
■ 44
■ = _____

Answer: 744

Explanation: 248×3= 744

Question 14.
$3 9 5
×     ■
————
$2,370
■ = _____

Answer: 6

Explanation: 395×6= 2370

Question 15.
3,748
×    4
———-
1 ■,992
■ = _____

Answer: 14,992

Explanation: 3,748×4= 14,992

Question 16.
A store-bought 9 cases of light bulbs in May and 8 cases in June. There are 48 light bulbs in a case. How many light bulbs did the store buy in May and June?

Answer: 816 bulbs.

Explanation: Light bulbs in May are 9 cases and in June are 8 cases. And each case has 48 light bulbs. So 9×48= 432 in May and 8×48= 384 in June. So total light bulbs in May and June are 384+432= 816.

Go Math Chapter 2 Grade 4 Review/Test Answer Key Question 17.
Mr. Wilson saved $2,500 to buy airline tickets for his family. He bought 6 airline tickets for $372 each. How much of his savings does Mr. Wilson have after he buys the tickets?

Answer: $268.

Explanation: Mr. Wilson bought 6 tickets and each cost $372, So 372×6= 2,232. The total money Mr. Wilson saved was $2,500. Total Savings are 2500-2232=$268.

Question 18.
Coach Ramirez bought 8 cases of bottled water for a road race. There are 24 bottles in each case. After the race, 34 bottles of water were left. How many bottles were used at the race? Explain.

Answer: 158 bottles.

Explanation: Ramirez bought 8 cases of water and each case contains 24 bottles. So the total bottles are 8×24=192 and 34 bottles left. Therefore used bottles are 192-34= 158.

Multiply Using Expanded Form – Page No. 102

Question 19.
Use Diagrams Look at the picture. Kylie has 832 songs on her portable media player. Lance has 3 times as many songs. How many fewer songs can Lance add to his player than Kylie can add to hers?

Answer: 1664.

Explanation: The total number of songs in portable media players is 9,000, and Kylie has 832 songs. So Kylie can add 9000-832= 8,168 songs. Lance has 3 times as many songs as Kylie, So Lance has 832×3= 2,496. He can add 9000-2496= 6504 to his player. Therefore 8168-6504=1664 Lance can add 1664 fewer songs to his player than Kylie.

Question 20.
James wants to buy the new portable media player shown. He has 5 times as many songs as Susan. Susan has 1,146 songs. Will all of his songs fit on the portable media player? How many songs does James have?

Answer: 5,730 songs. Yes, will fit on the portable media player.

Explanation: Susan has 1,146 songs and James has 5 times as many songs as Susan, So 1,146 5= 5,730 songs will fit on the portable media player.

Question 21.
The sum of a 3-digit number and a 1-digit number is 217. The product of the numbers is 642. If one number is between 200 and 225, what are the numbers?

Answer: 3.

Explanation: As the given product is 642 and the 3 digit number is between 200 and 225, So the 1-digit number is 3 because if we multiply 200 and 225 by 3 we will get the product as 600 and 675 and 642 is in between them. So 642 3= 214. And the one-digit number is 3.

Question 22.
Mrs. Jackson bought 6 gallons of juice for a party. Each gallon has 16 cups. After the party, 3 cups of juice were left over. At the party, how many cups did people drink? Show your work and explain how you found your answer.

Answer: 93.

Explanation: Mrs. Jackson bought 6 gallons of juice and each gallon has 16 cups. So total cups of juice is 16 6= 96 cups. And in that 3 cups of juice was left after the party. So 96-3= 93 cups of juice people drank.

Common Core – Multiply Using Partial Products – Page No. 103

Estimate. Then record the product.

Question 1.
Estimate: 1,200
2 4 3
×   6
——————
1,200
2 4 0
+1 8
—————–
1,458

Question 2.
6 4 0
×   3
——————
Estimate: _________
Product: _________

Answer:
Estimate: 1800
Product: 1920.

Explanation: Rounding off 640 to 600 then the estimated product is 600 3= 1800 and 640 3= 1920.
6 4 0
×   3
——————
1800
+120
+0
——————
1920

Question 3.
$ 1 4 9
×      5
——————
Estimate: $ _________
Product: $ _________

Answer:
Estimate: $500
Product: $745

Explanation: Rounding off 149 to 100 the estimated product is 100 5= 500 and 149 5= 745.
$ 1 4 9
×      5
——————
500
+200
+45
——————
745

Question 4.
7 2 1
×   8
——————
Estimate: _________
Product: _________

Answer:
Estimate: 5600
Product: 5768

Explanation: Rounding off 721 to 700 the estimated product is 700 8= 5600 and 721 8= 5,768.
7 2 1
×   8
——————
5600
+160
+8
——————
5,768

Practice and Homework Lesson 2.7 Answers 4th Grade Question 5.
2 9 3
×   4
——————
Estimate: _________
Product: _________

Answer:
Estimate: 1,200
Product: 1,172

Explanation: Rounding off 293 to 300 the estimated product is 300 4= 1200 and 293 4=1,172.
2 9 3
×   4
——————
800
+360
+12
——————
1,172

Question 6.
$ 4 1 6
×      6
——————
Estimate: $ _________
Product: $ _________

Answer:
Estimate: $2400
Product: $2496

Explanation: Rounding off 293 to 300 then the estimated product is 400 6= 2400 and
416 6= 2496.
$ 4 1 6
×      6
——————
2400
+60
+36
—————–
2,496

Question 7.
9 6 1
×    2
——————
Estimate: _________
Product: _________

Answer:
Estimate: 2000
Product: 1922

Explanation: Rounding off 961 to 1000 then the estimated product is 1000 2= 2000 and
961 2= 1922.
9 6 1
×    2
——————
1800
+120
+2
——————-
1922

Question 8.
8 3 7
×   9
——————
Estimate: _________
Product: _________

Answer:
Estimate: 7,200
Product: 7,533

Explanation: Rounding off 837 to 800 then the estimated product is 800 9= 7200 and
837 9= 7533.

8 3 7
×   9
——————
7200
+270
+63
—————–
7533

Question 9.
6 5 2
×   4
——————
Estimate: _________
Product: _________

Answer:
Estimate: 2,800
Product: 2,608

Explanation: Rounding off 652 to 700 then the estimated product is 700 4= 2800 and
652 4= 2,608.
6 5 2
×   4
——————
2400
+200
+8
—————–
2608

Question 10.
3 0 7
×   3
——————
Estimate: _________
Product: _________

Answer:
Estimate: 900
Product: 921

Explanation: Rounding off 307 to 300 then the estimated product is 300 3= 900 and
307 3= 921.
3 0 7
×   3
——–
900
+21
——
921

Question 11.
5 4 3
×   7
——————
Estimate: _________
Product: _________

Answer:
Estimate: 3500
Product: 3,801

Explanation: : Rounding off 543 to 500 then estimated product is 500 7= 3500 and
543 7= 3801.
5 4 3
×   7
——————
3500
+280
+21
—————–
3801

Question 12.
$ 8 2 2
×      5
——————
Estimate: $ _________
Product: $ _________

Answer:
Estimate: $4,000.
Product: $4,110.

Explanation: Explanation: : Rounding off 822 to 800 then estimated product is 800 5= 4000 and
822 5= 4110.
$ 8 2 2
×      5
——————
4000
+100
+10
——————
4110

Problem Solving

Question 13.
A maze at a county fair is made from 275 bales of hay. The maze at the state fair is made from 4 times as many bales of hay. How many bales of hay are used for the maze at the state fair?

Answer: 1100 bales.

Explanation: No. of country fair bales are 275 and state fair bales are 4 times as many as country fair bales. So 275 4= 1100

Go Math Lesson 2.8 4th Grade Answer Key Question 14.
Pedro gets 8 hours of sleep each night. How many hours does Pedro sleep in a year with 365 days?

Answer: 2,920 hours.

Explanation: Pedro sleeps 8 hours each night and 365 days Pedro sleeps 365 8= 2,920 hours.

Common Core – Multiply Using Partial Products – Lesson Check – Page No. 104

Question 1.
A passenger jet flies at an average speed of 548 miles per hour. At that speed, how many miles does the plane travel in 4 hours?
Options:
a. 2,092 miles
b. 2,112 miles
c. 2,192 miles
d. 2,480 miles

Answer: c

Explanation: Average speed of passenger jet is 548 miles per hour. And the plane travels in 4 hours is 548 4= 2,192 miles.

Question 2.
Use the model to find 3 x 157.

Options:
a. 300,171
b. 300,157
c. 471
d. 451

Answer: c.

Explanation: By distributive property of multiplication 3 x 157= 3 x(100+50+7)
=(3 x100)+(3×50)+(3×7)
=300+150+21
=471

Spiral Review

Question 3.
The school fun fair made $1,768 on games and $978 on food sales. How much money did the fun fair make on games and food sales?
Options:
a. $2,636
b. $2,646
c. $2,736
d. $2,746

Answer: $2746.

Explanation: Money made on games is $1,768 and on food sale is $978. So total money make on games and food sales are 1768+978= 2746.

Question 4.
Use the table below.

Which of the following lists the states from least to greatest population?
Options:
a. Alaska, North Dakota, Vermont
b. Vermont, Alaska, North Dakota
c. North Dakota, Vermont, Alaska
d. Vermont, North Dakota, Alaska

Answer: d.

Explanation: Vermont has 621,760, North Dakota has 646,844 and Alaska has 698,473.
So Vermont, North Dakota, Alaska.

Question 5.
A National Park covers 218,375 acres. What is this number written in expanded form?
Options:
a. 200,000 + 10,000 + 8,000 + 300 + 70 + 5
b. 20,000 + 1,000 + 800 + 30 + 75
c. 218 + 375
d. 218 thousand, 375

Answer: a.

Explanation: 218,375 is expanded as 200,000 + 10,000 + 8,000 + 300 + 70 + 5

Question 6.
Last year a business had profits of $8,000. This year its profits are 5 times as great. What are this year’s profits?
Options:
a. $4,000
b. $40,000
c. $44,000
d. $400,000

Answer: b

Explanation: Last year’s profit of $8,000 and this year 5 times more. So this year profit is 8000 5= 40,000.

Multiply Using Partial Products – Page No. 105

Choose the best term from the box to complete the sentence.

Question 1.
To find the product of a two-digit number and a 1-digit number, you can multiply the tens, multiply the ones, and find the sum of each ________________.

Answer: Factor

Explanation: Factors are the numbers which divides the original number completely.

Question 2.
The _____________ states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.

Answer: Distributive Property

Explanation: Distributive property means if we multiply a sum by a number is the same as multiplying each addend by the number and adding the products.

Write a comparison sentence.

Question 3.
5 × 9 = 45
______ times as many as ______ is ______ .

Answer: 5 times as many as 9 is 45

Explanation:

Question 4.
24 = 6 × 4
______ is ______ times as many as ______ .

Answer: 24 is 6 times as many as 4.

Explanation:

Question 5.
54 = 6 × 9
______ is ______ times as many as ______ .

Answer: 54 is 6 times as many as 9

Explanation:

Question 6.
8 × 6 = 48
______ times as many as ______ is ______ .

Answer: 48 is 8 times as many as 6.

Explanation:

Estimate. Then record the product.

Question 7.
7 5
× 5
—————
Estimate: ________
Product: ________

Answer:
Estimate: 500
Product: 375

Explanation: Rounding off 75 to 100 estimated value is 100×5= 500 and 75×5= 375

Question 8.
1 2
× 6
—————
Estimate: ________
Product: ________

Answer:
Estimate: 60
Product: 72

Explanation: Rounding off 12 to 10 estimated value is 10×6= 60 and 12×6= 72

Question 9.
2 8
× 3
—————

Answer:
Estimate: 90
Product: 84

Explanation: Rounding off 28 to 30 estimated value is 30×3= 90 and 28×3= 84

Question 10.
$4 3
× 6
—————
Estimate: $ ________
Product: $ ________

Answer:
Estimate: 300
Product: 258

Explanation: Rounding off 43 to 50 estimated value is 50×6= 300 and 43×6= 258

Record the product. Use expanded form to help.

Question 11.
5 × 64 = _____

Answer: 320

Explanation: 5 × 64= 5×(60+4)
=(5×60)+(5×4)
=300+20
=320

Question 12.
3 × 272 = _____

Answer: 812

Explanation: 3 × 272= 3×(200+70+2)
=(3×200)+(3×70)+(3×2)
=600+210+6
= 812

Multiply Using Partial Products – Page No. 106

Question 13.
There are 6 times as many dogs as cats. If the total number of dogs and cats is 21, how many dogs are there?

Answer: 18 dogs.

Explanation: Let cats be X and dogs are as many as 6 so dogs be 6X. As the total number of cats and dogs are X+6X=21, And X= 3 so dogs are 6×3= 18

Question 14.
The table below shows the number of calories in 1 cup of different kinds of berries. How many calories are in 4 cups of blackberries?

Answer: 248 Calories.

Explanation: The number of calories of blackberries in one cup are 62 and in 4 cups are 62×4= 248.

Question 15.
The skating rink rented 218 pairs of skates during the month of April and 3 times that many in May. How many pairs of skates did the skating rink rent during April and May?

Answer: 872 pairs.

Explanation: No. of pairs of skates in April are 218 and 3 times that many in May. So
3×218= 654. Total skates in April and May are 218+654= 872

Multiply Using Partial Products – Page No. 109

Question 1.
Break apart the factor 112 to find 7 × 112 by using mental math and addition.
7 × 112 = 7 × (_____ + 12)

Answer: 100

Explanation: 7 × 112 = 7 × (100 + 12)
= 7×(100+12)
= 700+84
= 784

Find the product. Tell which strategy you used.

Question 2.
4 × 6 × 50 = _____

Answer: 1200, Associative property.

Explanation:
4 × 6 × 50= 4 ×(6×50)
=4×(300)
=1200.

Question 3.
5 × 420 = _____

Answer: 2100, Use addition

Explanation: 420= 400+20
5×420= 5×(400+20)
=(5×400)+(5×20)
=2000+100
=2100.

Question 4.
6 × 298 = _____

Answer: 1788, Distributive property.

Explanation: 6×298 = 6×(200+90+8)
= (6×200)+( 6×90)+( 6×8)
= 1200+540+48
= 1788

Find the product. Tell which strategy you used.

Question 5.
14 × 50 = _____

Answer: 700, Halving and doubling.

Explanation: 14×50= (14×25)+(7×50)
= 350+350
= 700

Question 6.
32 × 25 = _____

Explanation: 32 × 25= 32× (20+5)
=(32×20)+(32×5)
=640+160
=800

Question 7.
8 × 25 × 23 = _____

Answer: 4,600, Associative property.

Explanation: 8×25×23=(8×25)× 23
=(200) ×23
4,600

Practice: Copy and Solve Use a strategy to find the product.

Question 8.
16 × 400 = _____

Answer: 6400, Distributive Property.

Explanation: 16×400= (8+8)×400
=(8×400)+ (8×400)
=3200+3200
=6400

Question 9.
3 × 31 × 10 = _____

Answer: 930, Associative property.

Explanation: 3×31×10= (3×31)×10
=(93) ×10
=930

Question 10.
3 × 199 = _____

Answer: 597, Distributive property.

Explanation: 3×199=3×(100+90+9)
=(3×100)+(3×90)+(3×9)
=300+270+27
= 597

Question 11.
3 × 1,021 = _____

Answer: 3063, Distributive Property.

Explanation: 3×1021= 3×(1000+20+1)
=(3×1000)+(3×20)+(3×1)
=3000+60+3
=3063

Identify Relationships Algebra Use mental math to find the unknown number.

Question 12.
21 × 40 = 840, so
21 × 42 = _____

Answer: 882

Explanation: By Distributive property 21 × 42= 21(40+2)
=(21×40)+(21×2)
=840+42
=882

Question 13.
9 × 60 = 540, so
18 × 30 = _____

Answer: 540

Explanation: As one factor is halved and the other one is doubled and the result is an equivalent expression.

Question 14.
The science museum sells dinosaur models to schools and libraries for $107 each. The town library buys 3 models. The town elementary school buys 5 models. What is the total cost of the models the town buys?

Answer: $856.

Explanation: The cost of each dinosaur model is $107, And the town library buys 3 models which cost 107×3= 321, and town elementary school buys 5 models which cost 107×5= 535. Total cost is 321+535= 856.

Question 15.
Kyle and Karen each bought 6 books of ride tickets at the fair. Each book has 15 tickets. How many tickets did they buy altogether?

Answer: 180 tickets

Explanation: Kyle and Karen each bought 6 books each that means total of 12 books and each book has 15 tickets. So total tickets both bought are 12×15= 180

Multiply Using Partial Products – Page No. 110

Use the table for 16–18.

Question 16.
Three thousand, forty-three people buy tickets at the gate for Section N and one hundred people buy tickets at the gate for Section L. How much money is collected for Section N and Section L at the gate?

Answer: $79575.

Explanation: As 3043 people bought tickets at the gate for Section N, So 3043×25= $76075 and 100 people bought tickets at the gate for Section L, So 100×35= $3500. The total money collected by both sections is 76075+3500= 79575.

Question 17.
Use Diagrams Tina and 3 of her friends buy the full season plan for Section M. If there are 45 games in the full season, how much money do they spend?

Answer: $4500.

Explanation: Tina and 3 of her friends which means a total of 4 members bought full season for Section M which costs $25 for each, So total cost is 25×4= 100. If there are 45 games in full seasons then 45×100= $4500.

Question 18.
When the full season tickets first went on sale, 2,000 Full Season tickets sold for Section N. Two weeks after the tickets first went on sale, another 1,500 full season tickets were sold for Section N. How much money was spent on full season tickets for Section N in total? How much more money was spent when the tickets first went on sale than after the first two weeks?
$ _____ was spent on full season tickets for Section N in total;

Answer: $70,000. $10,000 more

Explanation: The first sale tickets sold are 2,000 for Section N which is 2,000×20= 40,000.
And in next sale 1500 tickets sold out which is 1500×20= 30,000. Total money spent are 40,000+30,000= 70,000.

Question 19.
Find 6 × 407. Show your work and explain why the strategy you chose works best with the factors.

Answer: 2,442

Explanation: By using Distributive property 6×407= 6×(400+7)
=(6×400)+(6×7)
=2400+42
=2,442.

Common Core – Multiply Using Mental Math – Page No. 111

Find the product. Tell which strategy you used.

Question 1.
6 × 297
Think: 297 = 300 – 3
6 × 297 = 6 × (300 – 3)
= (6 × 300) – (6 × 3)
= 1,800 – 18
= 1,782;
use subtraction

Question 2.
8 × 25 × 23 = _____

Answer: 4,600. Associative property.

Explanation: Associative property states that the terms in an addition or multiplication problem can be grouped in different ways, and the answer remains the same.
8 × 25 × 23= (8×25)×23
=200×23
=4600

Question 3.
8 × 604 = _____

Answer: 4832, Use Addition.

Explanation: 604= 600+4
8×604= 8×(600+4)
=(8×600)+(8×4)
=4800+32
=4832.

Question 4.
50 × 28 = _____

Answer: 1400, Halving and doubling.

Explanation: 50×28= (25×28)+(50×14)
=700+700
=1400

Question 5.
9 × 199 = _____

Answer: 1,791

Explanation: By Distributive property 9 × 199= 9 ×(100+90+9)
=(9×100)+(9×90)+(9×9)
=900+810+81
= 1791

Go Math Grade 4 Lesson 2.8 Answer Key Question 6.
20 × 72 × 5 = _____

Answer: 7,200.

Explanation: Associative property states that the terms in an addition or multiplication problem can be grouped in different ways, and the answer remains the same.
20 × 72 × 5= (20×72) ×5
=1440×5
=7,200.

Question 7.
32 × 25 = _____

Answer: 800.

Explanation: Multiplication.
32×25= 800.

Problem Solving

Question 8.
Section J in an arena has 20 rows. Each row has 15 seats. All tickets cost $18 each. If all the seats are sold, how much money will the arena collect for Section J?

Answer: $5400.

Explanation: Total rows in the arena are 20 rows and each row has 15 seats. So total seats are 20×15= 300 seats. And each ticket cost is $18, So the total ticket price is 300×15= 5400.

Question 9.
At a high school gym, the bleachers are divided into 6 equal sections. Each section can seat 395 people. How many people can be seated in the gym?

Answer: 2,370 people.

Explanation: Total sections are 6 and each section contains 395 people. So total members can be seated in the gym are 395×6= 2,370 people.

Common Core – Multiply Using Mental Math – Lesson Check – Page No. 112

Question 1.
Pencils come in cartons of 24 boxes. A school bought 50 cartons of pencils for the start of school. Each box of pencils cost $2. How much did the school spend
on pencils?
Options:
a. $240
b. $1,200
c. $2,400
d. $4,800

Answer: c

Explanation: Total boxes of pencils are 24 and a school bought 50 cartons of pencils. So total no. of boxes are 24×50=1200 and each box of pencils cost $2. So 1200×2= 2400 school has spent.

Question 2.
The school also bought 195 packages of markers. There are 6 markers in a package. How many markers did the school buy?
Options:
a. 1,170
b. 1,195
c. 1,200
d. 1,230

Answer: a

Explanation: The school bought 195 packages of markers and each package contains 6 markers, So total markers are 195×6= 1170

Spiral Review

Question 3.
Alex has 175 baseball cards. Rodney has 3 times as many baseball cards as Alex. How many fewer cards does Alex have than Rodney?
Options:
a. 700
b. 525
c. 450
d. 350

Answer: d

Explanation: Alex has 175 baseball cards and Rodney has 3 times as many as Alex, So total no. of cards Rodney have are 175×3= 525. And Alex has 525-175= 350 fewer cards than Rodney.

Question 4.
A theater seats 1,860 people. The last 6 shows have been sold out. Which is the best estimate of the total number of people attending the last 6 shows?
Options:
a. fewer than 6,000
b. about 6,000
c. fewer than 12,000
d. more than 20,000

Answer: c

Explanation:  No. of seats in a theater are 1,860 people and last 6 shows have been sold out, So 1,860×6= 11,160 which are fewer than 12,000.

Question 5.
At one basketball game, there were 1,207 people watching. At the next game, there were 958 people. How many people in all were at the two games?
Options:
a. 2,155
b. 2,165
c. 2,265
d. 10,787

Answer: b

Explanation: There are 1207 people are watching basketball game and in the next game 958 people are there. So total no. of people are 1,207+958= 2165.

Question 6.
Bill bought 4 jigsaw puzzles. Each puzzle has 500 pieces. How many pieces are in all the puzzles altogether?
Options:
a. 200
b. 900
c. 2,000
d. 20,000

Answer: c

Explanation: Bill bought 4 jigsaw puzzle and each puzzle has 500 pieces. So altogether pieces are 500×4= 2000.

Multiply Using Mental Math – Page No. 115

Question 1.
The seats in Sections A and B of the stadium are all taken for the last show. Section A has 8 rows of 14 seats each. Section B has 6 rows of 16 seats each. How many people are seated in Sections A and B for the last show?
First, draw and label a diagram. Next, find the number of seats in each section.

Last, find the total number of seats.
_____ + _____ = _____

Answer: 112+96= 208.

Explanation: As section A has 8 rows and 14 seats each, So 14×8= 112 and Section B has 6 rows and 16 seats each, So 16×6= 96. Total no. of people are seated in Section A and Section B are
112+96= 208.

Question 1.
There are _____________ people seated in Sections A and B for the last show.

Answer: 208.

Explanation: As Section A has 112 people and Section B has 96 people, So 112+96= 208.

Question 2.
What if Sections A and B each had 7 rows? How many people would have been seated in Sections A and B?

Answer: 210

Explanation: As section A has 7 rows and 14 seats each, So 14×7= 98 and Section B has 7 rows and 16 seats each, So 16×7= 112. Total no. of people are seated in Section A and Section B are
112+98= 210.

Question 3.
Brenda’s vegetable garden has 13 rows with 8 plants in each row. Brenda plans to plant peppers in the first 2 rows and the last 2 rows of the garden. The rest of the rows will be tomatoes. How many tomato plants will Brenda plant?

Answer: 72 tomato plants

Explanation: Brenda’s vegetable garden has 13 rows with 8 plants in each row as she plans to plant first 2 rows and last 2 rows with pepper, So 13-4= 9 rows contains tomato plants and each row contains 8 plants, So 9×8= 72 tomato plants.

Question 4.
There are 8 rows of 22 chairs set up for an awards ceremony at the school. In each row, the 2 chairs on each end are reserved for students receiving awards. The rest of the chairs are for guests. How many chairs are there for guests?

Answer: 144 Chairs.

Explanation: As there are 8 rows with 22 chairs in each row, So total no. of chairs is 22×8= 176 chairs. As 2 chairs at each end are reserved for students receiving the award, So total chairs reserved are 8×4=32. So remaining chairs are 176-32= 144.

Multiply Using Mental Math – Page No. 116

Use the graph for 5–6.

Question 5.
Mr. Torres took his students to the dolphin show. Each row in the stadium had 11 seats. One adult sat at each end of a row, and each group of 4 students was seated between 2 adults. Mr. Torres sat by himself. How many adults were there?
_____ adults including Mr. Torres

Answer: 13 adults.

Explanation: First we must find total no. of rows, As there are 24 students each group contains 4 students, So 24 4= 6 rows. And one adult sat in each end of the row, So in 6 rows 2 people will sit. Therefore total adults are 6×2=12 adults+ Mr. Torres= 13 adults.

Question 6.
Another stadium section has 24 rows of 10 seats each. Describe at least two ways Mrs. Allen’s class can sit if an equal number of students sit in each row.

Answer: 9 rows of 4 students or 6 rows of 6 students.

Explanation: As there are 36 students in Mrs. Allen’s class. So students can sit in 6 rows of 6 students or 9 rows of 4 students.

Question 7.
Carol, Ann, and Liz each bought a toy fish. Carol’s fish is 10 inches longer than Ann’s fish. Liz’s fish is 2 inches longer than twice the length of Ann’s fish. Ann’s fish is 12 inches long. Find the length of each toy fish.
Carol’s: _____ in.         Liz’s: _____ in.

Answer: Carol’s: 22 in., Liz’s: 26in.

Explanation: Ann’s fish is 12 inches longer and Carol’s fish is 10 inches longer than Ann’s fish which means 10+12= 22 inches, So Carol’s fish is 22 inches. Liz’s fish is 2 inches longer than twice the length of Ann’s fish, which means (2×12) +2=24+2= 26 inches.

Question 8.
Evaluate Relationships Nell made a secret code. Each code word has 2 letters. Each word begins with a consonant and ends with a vowel. How many code words can Nell make with 3 consonants and 2 vowels?
_____ code words

Answer: 6 ways.

Explanation: As each word begins with a consonant and ends with a vowel, So the first letter can be any one of 3 consonants and the second letter can be either one of 2 vowels. So Nell can make 3×2= 6 ways.

Question 9.
Allie is building a patio. The patio will have 8 tiles in each of 13 rows. She has already built the center section with 4 tiles in each of 7 rows. How many more tiles are needed to complete the patio? Show your work.

Answer: 76 tiles.

Explanation: Allie had 8 tiles in each of 13 rows, which means 13×8= 104 tiles. And the center section was built by 4 tiles in each of 7 rows, which means 4×7= 28 tiles. So 104-28= 76 tiles more needed to complete the patio.

Common Core – Problem Solving Multistep Multiplication Problems – Page No. 117

Solve each problem.

Question 1.
A community park has 6 tables with a chessboard painted on top. Each board has 8 rows of 8 squares. When a game is set up, 4 rows of 8 squares on each board are covered with chess pieces. If a game is set up on each table, how many total squares are NOT covered by chess pieces?

4 × 8 = 32
32 × 6 = 192 squares

Question 2.
Jonah and his friends go apple picking. Jonah fills 5 baskets. Each basket holds 15 apples. If 4 of Jonah’s friends pick the same amount as Jonah, how many apples do Jonah and his friends pick in all? Draw a diagram to solve the problem.

Answer: 375 apples.

Explanation: As Jonah fills 5 baskets which holds 15 apples, So Jonah picked 15×5= 75 apples.
And 4 of his friends pick same amount of apples, which means 75×4=300. So total apples Jonah and his friends picked up are 300+75= 375 apples.

Question 3.
There are 6 rows of 16 chairs set up for the third-grade play. In the first 4 rows, 2 chairs on each end are reserved for teachers. The rest of the chairs are for students. How many chairs are there for students?

Answer: 80 chairs.

Explanation: As there are 6 rows of 16 chairs which means 16×6= 96 total chairs. And first 4 rows 2 chairs on each end are reserved for teachers, which means 4×4= 16 chairs are reserved for teachers. So 96-16= 80 chairs are left for the students.

Common Core – Problem Solving Multistep Multiplication Problems – Lesson Check – Page No. 118

Question 1.
At a tree farm, there are 9 rows of 36 spruce trees. In each row, 14 of the spruce trees are blue spruce. How many spruce trees are NOT blue spruce?
Options:
a. 126
b. 198
c. 310
d. 324

Answer: b

Explanation: There are 9 rows of 36 spruce trees which means 9×36= 324 spruce trees. And in that, each row has 14 blue spruce trees which mean 14×9= 126. So 324-126= 198 spruce trees are not blue.

Question 2.
Ron is tiling a countertop. He needs to place 54 square tiles in each of 8 rows to cover the counter. He wants to randomly place 8 groups of 4 blue tiles each and have the rest of the tiles be white. How many white tiles will Ron need?
Options:
a. 464
b. 432
c. 400
d. 32

Answer: c

Explanation: Ron places 54 square tiles in each of 8 rows which means 54×8=432 tiles. And he randomly places 8 groups of 4 blue tiles which means 8×4= 32 blue tiles are placed. So no. of white tiles are 432-32= 400.

Question 3.
Juan reads a book with 368 pages. Savannah reads a book with 172 fewer pages than Juan’s book. How many pages are in the book Savannah reads?
Options:
a. 196
b. 216
c. 296
d. 540

Answer: a

Explanation: Juan reads a book with 368 pages and Savannah reads a book with 172 fewer pages than Juan’s which means 368-172= 196 pages are in Savannah’s read.

Question 4.
Hailey has bottles that hold 678 pennies each. About how many pennies does she have if she has 6 bottles filled with pennies?
Options:
a. 3,600
b. 3,900
c. 4,200
d. 6,000

Answer: c

Explanation: Let’s round off 678 to 700 and Hailey has bottles that hold 700 pennies each and if she has 6 bottles filled with pennies which means 700×6= 4200.

Question 5.
Terrence plants a garden that has 8 rows of flowers, with 28 flowers in each row. How many flowers did Terrence plant?
Options:
a. 1,664
b. 224
c. 164
d. 36

Answer: b

Explanation: As the garden has 8 rows of flowers with 28 flowers in each row, So no. of flowers is 28×8= 224.

Question 6.
Kevin has 5 fish in his fish tank. Jasmine has 4 times as many fish as Kevin has. How many fish does Jasmine have?
Options:
a. 15
b. 20
c. 25
d. 30

Answer: b

Explanation: As Kevin has 5 fishes and Jasmine has 4 times as many as Kevin which means 5×4= 20 fishes Jasmine has.

Problem Solving Multistep Multiplication Problems – Page No. 121

Question 1.
Use the model to find the product.

2 × 36 = _____

Answer: 72

Explanation: 2×36=2×(30+6)
=(2×30)+(2×6)
=60+12
=72

Estimate. Then record the product.

Question 2.
4 2
× 4
—————-
Estimate: _________
Product: _________

Answer:
Estimate: 160
Product: 168

Explanation: Round off 42 to 40 and estimated value is 40×4= 160 and 42×4= 168
4 2
× 4
——-
168

Question 3.
3 2
× 2
—————-
Estimate: _________
Product: _________

Answer:
Estimate: 60
Product: 64

Explanation: Round off 32 to 30 and the estimated value is 30×2= 60 and 32×2= 64.
3 2
× 2
——
64

Question 4.
8 1
× 5
—————-
Estimate: _________
Product: _________

Answer:
Estimate: 400
Product: 405

Explanation: Round off 81 to 80 and the estimated value is 80×5= 400 and 81×5= 405.
81
× 5
——
405

Question 5.
$6 3
× 7
—————-
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 420
Product: 441

Explanation: Round off 63 to 60 and the estimated value is 60×7= 420 and 63×7= 441.
$63
× 7
——
441

Estimate. Then record the product.

Question 6.
3 3
× 2
—————-
Estimate: _________
Product: _________

Answer:
Estimate: 60
Product: 66

Explanation: Round off 33 to 30 and the estimated value is 30×2= 60 and 33×2= 66.
3 3
× 2
——
66

Question 7.
$2 5
× 3
—————-
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 90
Product: 75

Explanation: Round off 25 to 30 and the estimated value is 30×3= 90 and 25×3= 75.
$25
× 3
——
75

Question 8.
3 6
× 8
—————-
Estimate: _________
Product: _________

Answer:
Estimate: 320
Product: 288

Explanation: Round off 36 to 40 and the estimated value is 40×8= 320 and 36×8= 288.
36
× 8
——
288

Question 9.
$9 4
× 5
—————-
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 450
Product: 470

Explanation: Round off 94 to 90 and the estimated value is 90×5= 450 and 94×5= 470.
$94
× 5
——
470

Practice: Copy and Solve Estimate. Then record the product.

Question 10.
3 × 82
Estimate: _________
Product: _________

Answer:
Estimate: 240
Product: 246

Explanation: Round off 82 to 80 and the estimated value is 80×3= 240 and 82×3= 246.
3 2
× 2
——
246

Question 11.
9 × 41
Estimate: _________
Product: _________

Answer:
Estimate: 360
Product: 369

Explanation: Round off 41 to 40 and the estimated value is 40×9= 360 and 41×9= 369.
41
×9
——
369

Question 12.
7 × $23
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 140
Product: 161

Explanation: Round off 23 to 20 and the estimated value is 20×7= 140 and 23×7= 161.
23
× 7
——
161

Question 13.
8 × $54
Estimate: $ _________
Product: $ _________

Answer:
Estimate: 400
Product: 432

Explanation: Round off 54 to 50 and the estimated value is 50×8= 400 and 54×8= 432.
54
×8
——
432

Identify Relationships Algebra Write a rule. Find the unknown numbers.

Question 15.

Answer: 36, 60

Explanation: If 1 carton contains 12 eggs then 3 cartons will have 3×12= 36 and 5 cartons contains 5×12= 60.

Question 16.

Answer: 160, 192

Explanation: If 2 rows have 32 seats then 5 rows will have 5×32= 160 and 6 rows will have 6×32= 192 seats

Question 17.
It will cost $73 per hour to rent a sailboat and $88 per hour to rent a ski boat. How much more will it cost to rent a ski boat than a sailboat for 4 hours?

Answer: $60.

Explanation: Cost of sailboat to rent per hour is $73 and for 4 hours it costs $73×4= $292. And cost of Ski boat to rent per hour is $88 and for 4 hours it costs $88×4= $352. So $352-$292= $60 much more costs for a ski boat than a sailboat.Problem Solving Multistep Multiplication Problems – Page No. 122

Use the table for 18–19.

Question 18.
At the speeds shown, how much farther could a black-tailed jackrabbit run than a desert cottontail in 7 seconds?

Answer: 203 ft.

Explanation: Black-tailed jackrabbit runs at a speed of 51 ft per sec, So in 7 seconds jackrabbit runs 51×7= 357 ft and Desert cottontail runs at a speed of 22 ft per sec, So in 7 seconds it runs 22×7= 154 ft. So 357-154= 203 ft could a black-tailed jackrabbit run than a desert cottontail in 7 seconds.

Question 19.
A black-tailed jackrabbit hops about 7 feet in a single hop. How far can it hop in 5 seconds?
about ______ hops

Answer: 35 hops.

Explanation: As black-tailed jackrabbit hops about 7 feet in a single hop, So in 5 seconds it hops 7×5= 35.

Question 20.
Mr. Wright bought a 3-pound bag of cat food and a 5-pound bag of dog food. There are 16 ounces in each pound. How many ounces of pet food did Mr. Wright buy?

Answer: 128 ounces.

Explanation: Mr. Wright bought a 3-pound bag of cat food and there are 16 ounces in each pound, So 3×16= 48 ounces and 5pound bag of dog food as 5×16= 80 ounces. So total ounces of pet food are 48+80= 128 ounces.

Question 21.
The sum of two numbers is 31. The product of the two numbers is 150. What are the numbers?

Answer: 6 and 25.

Explanation: Let the numbers be X and Y, So the sum of two numbers is 31 which means X+Y=31 and product of two numbers is 150 which means X×Y=150. So X=31-Y then replace X=31-Y, So (31-Y)×Y= 150, then 31Y-Y^² = 150 which is Y^² – 31Y+ 150 = 0. By factorization Y= 25 and X×25= 150 then X= 6. Therefore X= 6 and Y= 25.

Question 22.
Use Reasoning 6 × 87 is greater than 5 × 87. How much greater? Explain how you know without multiplying.

Answer: 6×87>5 × 87.

Explanation: As 6 is greater than 5, So 6×87 is greater than 5 × 87

Question 23.
Multiply 6 × 73. For 23a–23d, select True or False for each statement.
a. A reasonable estimate of the product is $420.
i. True
ii. False

Answer: False

Explanation: 6×73= 438

Question 23.
b. Using partial products, the products are 42 and 180.
i. True
ii. False

Answer: False

Explanation: The partial products are 420 and 18

Question 23.
c. Using regrouping, 18 ones are regrouped as 8 tens and 1 one.
i. True
ii. False

Answer: False.

Explanation: 8 tens and 1 one means 81.

Question 23.
d. The product is 438.
i. True
ii. False

Answer: True

Explanation: 6×73= 438

Common Core – Multiply 2-Digit Numbers with Regrouping – Page No. 123

Estimate. Then record the product.

Question 1.
Estimate: 150

Question 2.
3 2
× 8
Estimate: ________
Product: ________

Answer:
Estimate: 240
Product: 256

Explanation: Round off 32 to 30 and 30×8=240.
3 2
× 8
————
256

Answer:
Estimate: 240
Product: 256

Explanation: Round off 32 to 30 and 30×8=240.
3 2
× 8
————
256

Answer:
Estimate: 240
Product: 256

Explanation: Round off 32 to 30 and 30×8=240.
3 2
× 8
————
256

Question 3.
$5 5
× 2
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $120
Product: $110

Explanation: Round off 55 to 60 and 60×2= 120.
$5 5
× 2
————-
$110

Question 4.
6 1
× 8
Estimate: ________
Product: ________

Answer:
Estimate: 480
Product: 488

Explanation: Round off 61 to 60 and 60×8= 480.
6 1
× 8
———–
488

Question 5.
3 7
× 9
Estimate: ________
Product: ________

Answer:
Estimate: 360
Product: 333

Explanation: Round off 37 to 40 and 40×6= 360.
3 7
× 9
———–
333

Question 6.
$1 8
× 7
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $140
Product: $126

Explanation: Round off 18 to 20 and 20×7= 140.
$1 8
× 7
———-
$126

Question 7.
8 3
× 5
Estimate: ________
Product: ________

Answer:
Estimate: 400
Product: 415

Explanation: Round off 83 to 80 and 80×5= 400.
8 3
× 5
——-
415

Question 8.
9 5
× 8
Estimate: ________
Product: ________

Answer:
Estimate: 800
Product: 760

Explanation: Round off 95 to 100 and 100×8= 800.
9 5
× 8
——–
760

Question 9.
9 4
× 9
Estimate: ________
Product: ________

Answer:
Estimate: 810
Product: 846

Explanation: Round off 94 to 90 and 90×9= 810.
9 4
× 9
——-
846

Question 10.
5 7
× 6
Estimate: ________
Product: ________

Answer:
Estimate: 360
Product: 342

Explanation: Round off 57 to 60 and 60×6= 360.
5 7
× 6
——
342

Question 11.
7 2
× 3
Estimate: ________
Product: ________

Answer:
Estimate: 210
Product: 216

Explanation: Round off 72 to 70 and 70×3= 210.
7 2
× 3
——-
216

Question 12.
$7 9
× 8
Estimate: ________
Product: ________

Answer:
Estimate: $640
Product: $632

Explanation: Round off 79 to 80 and 80×8= 640.
$7 9
× 8
——-
$632

Problem Solving

Question 13.
Sharon is 54 inches tall. A tree in her backyard is 5 times as tall as she is. The floor of her treehouse is at a height that is twice as tall as she is. What is the difference, in inches, between the top of the tree and the floor of the treehouse?

Answer: 162 inches.

Explanation: Sharon is 54 inches tall and a tree in her backyard is 5 times as tall as she is which means 54×5= 270. And her treehouse is twice as tall as she is which means 54×2= 108 inches. So the difference between the top of the tree and the floor of the treehouse is 270-108= 162 inches.

Question 14.
Mr. Diaz’s class is taking a field trip to the science museum. There are 23 students in the class, and a student admission ticket is $8. How much will the student
tickets cost?

Answer: $184.

Explanation: Total no. of students are 23 and tickets cost is $8, So 23×8= $184.

Common Core – Multiply 2-Digit Numbers with Regrouping – Lesson Check – Page No. 124

Question 1.
A ferryboat makes four trips to an island each day. The ferry can hold 88 people. If the ferry is full on each trip, how many passengers are carried by the ferry
each day?
Options:
a. 176
b. 322
c. 332
d. 352

Answer: d

Explanation: Total trips made by the ferryboat each day are 4 and it can hold 88 people, So 88×4= 352 passengers are carried by ferryboat each day.

Question 2.
Julian counted the number of times he drove across the Seven Mile Bridge while vacationing in the Florida Keys. He crossed the bridge 34 times. How many miles in all did Julian drive crossing the bridge?
Options:
a. 328 miles
b. 248 miles
c. 238 miles
d. 218 miles

Answer: c

Explanation: No. of times Julian drive across the bridge is 7 miles and he crossed the bridge 34 times, So 34×7= 238 miles Julian drive crossing the bridge.

Spiral Review

Question 3.
Sebastian wrote the population of his city as 300,000 + 40,000 + 60 + 7. Which of the following shows the population of Sebastian’s city written in standard form?
Options:
a. 346,700
b. 340,670
c. 340,607
d. 340,067

Answer: d

Explanation: 300,000+40,000+60+7= 340,067.

Question 4.
A plane flew 2,190 kilometers from Chicago to Flagstaff. Another plane flew 2,910 kilometers from Chicago to Oakland. How much farther did the plane that flew to Oakland fly than the plane that flew to Flagstaff?
Options:
a. 720 kilometers
b. 820 kilometers
c. 5,000 kilometers
d. 5,100 kilometers

Answer: a

Explanation: Plane flew from Chicago to Flagstaff is 2,190 km and another plane flew from Chicago to Oakland is 2,910, So 2910-2190= 720 km.

Question 5.
Tori buys 27 packages of miniature racing cars. Each package contains 5 cars. About how many miniature racing cars does Tori buy?
Options:
a. 15
b. 32
c. 100
d. 150

Answer: d

Explanation: Let’s round off 27 packages to 30 and each package contains 5 cars, which means 30×5=150.

Question 6.
Which of the following equations represents the Distributive Property?
Options:
a. 3 × 4 = 4 × 3
b. 9 × 0 = 0
c. 5 × (3 + 4) = (5 × 3) + (5 × 4)
d. 6 × (3 × 2) = (6 × 3) × 2

Answer: c

Explanation: Distributive property means if we multiply a sum by a number is the same as multiplying each addend by the number and adding the products.

Multiply 2-Digit Numbers with Regrouping – Page No. 127

Question 1.
Tell what is happening in Step 1 of the problem.

Answer: Multiplying 4×6

Explanation: In step 1 Multiplying 4×6= 24.

Estimate. Then find the product.

Question 2.
6 0 3
×   4
————
2,400
Estimate: __________
Product: ___________

Answer:
Estimate: 2400
Product: 2412

Explanation: Rounding off 603 to 600 then 600×4= 2400.
6 0 3
×   4
——–
2412

Question 3.
1,935
×    7
————
Estimate: __________
Product: ___________

Answer:
Estimate: 14,000.
Product: 13,545.

Explanation: Rounding off 1935 to 2000 then 2000×7= 14,000.
1,935
×    7
———
13,545

Question 4.
$ 8,326
×       5
————
Estimate: $ __________
Product: $ ___________

Answer:
Estimate: 40,000
Product: 41,630

Explanation: Rounding off 8326 to 8000 then 8000×5= 40,000.
$ 8,326
×       5
———-
41,630

Estimate. Then find the product.

Question 5.
$ 3,316
×       8
—————-
Estimate: $ __________
Product: $ ___________

Answer:
Estimate: 24,000.
Product: 26,528.

Explanation: Rounding off 3316 to 3000 then 3000×8= 24,000.
$ 3,316
×       8
———
26,528

Question 6.
$ 2,900
×       7
—————–
Estimate: $ __________
Product: $ ___________

Answer:
Estimate: 21,000.
Product: 20,300

Explanation: Rounding off 2900 to 3000 then 3000×7= 21,000.
$ 2,900
×       7
———-
20,300

Question 7.
$ 4,123
×       6
—————–
Estimate: $ __________
Product: $ ___________

Answer:
Estimate: 24,000.
Product: 24,738

Explanation: Rounding off 4,123 to 4000 then 4000×6= 24,000.
$ 4,123
×       6
———–
24,738

Question 8.
Mr. Jackson has $5,400 to buy supplies for the school computer lab. He buys 8 boxes of printer ink that cost $149 each and 3 printers that cost $1,017 each. How much money will Mr. Jackson have left after he buys the printer ink and printers?

Answer: $1,157

Explanation: As 8 boxes of printer ink cost $149 each which is $149×8=$1,192 and 3 printers costs $1,017 which is $1,017×3=$3,051. So 3051+1192= 4,243 total spent by Mr. Jackson on Printer ink and printers. The money left are $5,400-$4,243= 1,157.

Practice: Copy and Solve Compare. Write <, >, or = .

Question 9.
5 × 352 _____ 4 × 440

Answer: 5 × 352  = 4 × 440

Explanation: As 5 × 352= 1,760 and 4 × 440= 1,760

Question 10.
6 × 8,167 _____ 9,834 × 5

Answer: 6 × 8,167 <  9,834 × 5

Explanation: As 6 × 8,167= 49,002 and 9,834 × 5= 49,170. So 6 × 8,167 <  9,834 × 5

Question 11.
3,956 × 4 _____ 5 × 7,692

Answer: 3,956 × 4 < 5 × 7,692

Explanation: As 3,956 × 4= 15,824 and 5 × 7,692= 38,460. So 3,956 × 4 < 5 × 7,692

Question 12.
740 × 7 _____ 8 × 658

Answer: 740 × 7 < 8 × 658

Explanation:  As 740 × 7 = 5180 and 8 × 658= 5264. So 740 × 7 < 8 × 658

Question 13.
4 × 3,645 _____ 5 × 2,834

Answer: 4 × 3,645 > 5 × 2,834

Explanation: As 4 × 3,645= 14580 and 5 × 2,834= 14,170. So 4 × 3,645 > 5 × 2,834.

Question 14.
6,573 × 2 _____ 4,365 × 3

Answer: 6,573 × 2 > 4,365 × 3

Explanation: As 6,573 ×2= 13,146 and 4,365 × 3= 13,095. So 6,573 × 2 > 4,365 × 3.

Multiply 2-Digit Numbers with Regrouping – Page No. 128

Question 15.
Airplane tickets to Fairbanks, Alaska, will cost $958 each. Airplane tickets to Vancouver, Canada, will cost $734. How much can the four members of the Harrison family save on airfare by vacationing in Vancouver?

Answer: $896.

Explanation: Airplane tickets cost for Alaska is $958 each. As Harrison family are 4 members so it will cost $958×4= $3,832 And for Vancouver it costs $734 each. So $734×4= $2,936 and Harrison family save $3832-$2936= $896.

Question 16.
Philadelphia, Pennsylvania, is 2,147 miles from Salt Lake City, Utah, and 2,868 miles from Portland, Oregon. What is the difference in the round-trip distances between Philadelphia and each of the other two cities? Explain whether you need an estimate or an exact answer.

Answer: 1,442 mi.

Explanation: The distance between Philadelphia and Salt Lake is 2,147 miles and round-trip distance is 2×2,147= 4,294 miles. And the distance between Philadelphia and Portland is 2,868 miles and the round-trip distance is 2×2868= 5736 miles. So the difference is
5,736-4,294= 1442 miles.

Question 17.
Verify the Reasoning of Others Joe says that the product of a 4-digit number and a 1-digit number is always a 4-digit number. Does Joe’s statement make sense? Explain.

Answer: No, Joe’s statement is incorrect.

Explanation: As there are regrouped thousands, the product of a 4-digit number and a 1-digit number can have 5 digits.

Question 18.
What number is 150 more than the product of 5 and 4,892? Explain how you found the answer.

Answer: 24,610.

Explanation: Let’s find the product of 5×4,892= 54,460 and then add 150 to the product, So 24,460+150= 24,610.

Common Core – Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 129

Estimate. Then find the product.

Question 1.
Estimate: 4,000

Question 2.
5,339
×    6
————-
Estimate: ________
Product: ________

Answer:
Estimate: 30,000
Product: 32,034

Explanation: Round off 5,339 to 5000 then 5000×6= 30,000.
5,339
×    6
———-
32,034

Question 3.
$879
×   8
————-
Estimate: $ ________
Product: $ ________

Answer:
Estimate: $7,200.
Product: $7,032.

Explanation: Round off 879 to 900 then 900×8= 7,200.
$879
×   8
——–
7,032

Go Math Lesson 2.11 4th Grade Question 4.
3,182
×    5
————-
Estimate: ________
Product: ________

Answer:
Estimate: 15,000
Product: 15,910

Explanation: Round off 3,182 to 3000 then 3000×5= 15,000.
3,182
×    5
———-
15,910

Question 5.
4,616
×    3
————-
Estimate: ________
Product: ________

Answer:
Estimate: 15,000
Product: 13,848

Explanation: Round off 4,616 to 5,000 then 5000×3= 15,000.
4,616
×    3
———
13,848

Question 6.
2,854
×    9
————-
Estimate: ________
Product: ________

Answer:
Estimate: 27,000
Product: 25,686

Explanation: Round off 2,854 to 3000 then 3000×9= 27,000.
2,854
×    9
———
25,686

Question 7.
7,500
×    2
————-
Estimate: ________
Product: ________

Answer:
Estimate: 16,000
Product: 15,000

Explanation: Round off 7,500 to 8000 then 8000×2= 16,000.
7,500
×    2
———
15,000

Question 8.
9 4 8
×   7
————-
Estimate: ________
Product: ________

Answer:
Estimate: 6,300
Product: 6,636

Explanation: Explanation: Round off 948 to 900 then 900×7= 6,300.
9 4 8
×   7
——-
6,636

Question 9.
1,752
×    6
————-
Estimate: ________
Product: ________

Answer:
Estimate: 12,000.
Product: 10,512.

Explanation: Explanation: Round off 1,752 to 2000 then 2000×6= 12,000.
1,752
×    6
———–
10,512

Question 10.
5 5 0
×   9
————-
Estimate: ________
Product: ________

Answer:
Estimate: 5,400
Product: 4,950

Explanation: Round off 550 to 600 then 600×9= 5,400.
5 5 0
×   9
——–
4,950

Question 11.
6,839
×    4
————-
Estimate: ________
Product: ________

Answer:
Estimate: 28,000
Product: 27,356

Explanation: Round off 6,839 to 7000 then 7000×4= 28,000.
6,839
×    4
———-
27,356

Question 12.
$9,614
×      6
————-
Estimate: $ ________
Product: $ ________

Answer:
Estimate: 60,000.
Product: 57,684.

Explanation: Round off 9,614 to 10,000 then 10,000×6= 60,000.
$9,614
×      6
———-
57,684

Problem Solving

Question 13.
Lafayette County has a population of 7,022 people. Columbia County’s population is 8 times as great as Lafayette County’s population. What is the population of Columbia County?

Answer: 56,176 people

Explanation: Lafayette County has a population of 7,022 people and Columbia County’s population is 8 times Lafayette County which means 7,022×8= 56,176.

Question 14.
A seafood company sold 9,125 pounds of fish last month. If 6 seafood companies sold the same amount of fish, how much fish did the 6 companies sell last month in all?

Answer: 54,750 pounds.

Explanation: As the seafood company sold 9,125 pounds of fishes last month and 6 seafood companies also sold the same amount which means 9,125×6= 54,750 pounds.

Common Core – Multiply 3-Digit and 4-Digit Numbers with Regrouping – Lesson Check – Page No. 130

Question 1.
By recycling 1 ton of paper, 6,953 gallons of water are saved. How many gallons of water are saved by recycling 4 tons of paper?
Options:
a. 24,602 gallons
b. 27,612 gallons
c. 27,812 gallons
d. 28,000 gallons

Answer: c

Explanation: As 1 ton of paper saves 6,953 gallons of water, So 4 tons of paper can save 6,953×4= 27,812.

Question 2.
Esteban counted the number of steps it took him to walk to school. He counted 1,138 steps. How many steps does he take walking to and from school each day?
Options:
a. 2,000
b. 2,266
c. 2,276
d. 22,616

Answer: c

Explanation: As Esteban counted 1,138 steps to school and from school, it will be 1,138+1,138=2,276 steps

Spiral Review

Question 3.
A website has 13,406 people registered. What is the word form of this number?
Options:
a. thirty thousand, four hundred six
b. thirteen thousand, four hundred sixty
c. thirteen thousand, four hundred six
d. thirteen thousand, six hundred six

Answer: c

Explanation: 13,406 in words are thirteen thousand four hundred six.

Question 4.
In one year, the McAlister family drove their car 15,680 miles. To the nearest thousand, how many miles did they drive their car that year?
Options:
a. 15,000 miles
b. 15,700 miles
c. 16,000 miles
d. 20,000 miles

Answer: c

Explanation: 15,680 nearest thousand is 16,000

Question 5.
Connor scored 14,370 points in a game. Amy scored 1,089 fewer points than Connor. How many points did Amy score?
Options:
a. 12,281
b. 13,281
c. 15,359
d. 15,459

Answer: b

Explanation: Connor scored 14,370 points and Amy scored 1,089 fewer points, So Amy score is 14,370-1089= 13,281.

Question 6.
Lea buys 6 model cars that each cost $15. She also buys 4 bottles of paint that each cost $11. How much does Lea spend in all on model cars and paint?
Options:
a. $134
b. $90
c. $44
d. $36

Answer: a

Explanation: Lea buys 6 model cars that each cost $15, So the total cost for cars is $15×6= $90.
And 4 bottles of paint that each cost $11, So the total cost of paints is $11×4= $44. Then
$90+$44= $134.

Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 133

Question 1.
Use the order of operations to find the value of n.
5 × 17 + 5 × 20 – 32 = n
n = ______

Answer: 153

Explanation: (5×17)+5×20 –32=
= 85+100-32
=185-32
=153

Find the value of n.

Question 2.
3 × 22 + 7 × 41 – 24 = n
n = ______

Answer: 329.

Explanation: 3×22+7×41–24
=66+287-24
=329.

Question 3.
4 × 34 + 6 × 40 – 66 = n
n = ______

Answer: 310.

Explanation: 4×34+6×40–66=
=136+240-66
=310.

Question 4.
2 × 62 + 8 × 22 – 53 = n
n = ______

Answer: 247

Explanation: 2×62+8×22–53=
= 124+176-53
=300-53
=247.

Question 5.
6 × 13 + 9 × 34 – 22 = n
n = ______

Answer: 362.

Explanation: 6×13+9×34–22=
=78+306-22
=384-22
=362.

Find the value of n.

Question 6.
8 × 42 + 3 × 59 – 62 = n
n = ______

Answer: 451.

Explanation: 8×42+3×59–62=
=336+177-62
=513-62
=451.

Question 7.
6 × 27 + 2 × 47 – 83 = n
n = ______

Answer: 173

Explanation: 6×27+2×47–83=
=162+94-83
=256-83
=173

Question 8.
Maggie has 3 binders with 25 stamps in each binder. She has 5 binders with 24 baseball cards in each binder. If she gives 35 stamps to a friend, how many stamps and cards does she have left?

Answer: 160

Explanation: Maggie has 3 binders with 25 stamps each binder, so total stamps are 3×25= 75. And 5 binders with 24 baseball cards in each binder. So total baseball cards are 24×5=120.
As she gave 35 stamps to a friend, so 75-35= 40. Total stamps and cards she has
120+40= 160

Question 9.
Evaluate Maddox has 4 boxes with 32 marbles in each box. He has 7 boxes with 18 shells in each box. If he gets 20 marbles from a friend, how many marbles and shells does he have?

Answer: 274.

Explanation: Maddox has 4 boxes and 32 marbles in each box, so 4×32= 128. And 7 boxes with 18 shells in each box which means 7×18= 126. And he got 20 marbles from a friend, so
128+20= 148 marbles. So total marbles and shells he has 148+126= 274.

Question 10.
The soccer team sells 54 bagels with cream cheese for $2 each and 36 muffins for $1 each during a bake sale. The coach uses the money to buy socks for the 14 players. The socks cost $6 per pair. How much money does the coach have left? Explain how you found your answer.

Answer: $60.

Explanation: Soccer team sells 54 bagels with cream cheese for $2 each, so 54×2= $108 total amount raised by selling bagels with cream cheese. And 36 muffins for $1 each which means 36×$1= $36 raised by selling muffins. So the total amount raised is $108+$36= $144. And he uses the money to buy socks for 14 players and each pair is $6, So 14×$6= $84 needed to buy socks for the players. So $144-$84= $60 left with the coach after buying socks for the players.

Multiply 3-Digit and 4-Digit Numbers with Regrouping – Page No. 134

Question 11.
What’s the Error? Dominic has 5 books with 12 postcards in each book. He has 4 boxes with 20 coins in each box. If he gives 15 post cards to a friend, how many postcards and coins does he have?

Dominic drew this model.

Dominic used these steps to solve.
5 × 12 + 4 × 20 – 15 = n
60 + 4 × 20 – 15 = n
64 × 20 – 15 = n
1,280 – 15 = n
1,265 = n
Look at the steps Dominic used to solve this problem. Find and describe his error.

Answer: Dominic didn’t follow the order of operations

Question 11.
Use the correct steps to solve the problem.

Answer:
5 × 12 + 4 × 20 – 15 = n
60+4×20-15=n
60+80-15=n
140-15=n
125=n

Common Core – Solve Multistep Problems Using Equations – Page No. 135

Find the value of n.

Question 1.
4 × 27 + 5 × 34 – 94 = n
108 + 5 × 34 – 94 = n
108 + 170 – 94 = n
278 – 94 = n
184 = n

Question 2.
7 × 38 + 3 × 45 – 56 = n
_____ = n

Answer: 345.

Explanation: 7×38+3×45-56=
=266+135-56
=401-56
=345

Question 3.
6 × 21 + 7 × 29 – 83 = n
_____ = n

Answer: 246

Explanation: 6×21+7×29-83=
=126+203-83
=329-83
=246

Question 4.
9 × 19 + 2 × 57 – 75 = n
_____ = n

Answer: 210.

Explanation: 9×19+2×57-75=
=171+114-75
=285-75
=210.

Question 5.
5 × 62 + 6 × 33 – 68 = n
_____ = n

Answer: 440.

Explanation: 5 × 62 + 6 × 33 – 68=
=310+198-68
=508-68
=440

Question 6.
8 × 19 + 4 × 49 – 39 = n
_____ = n

Answer: 309

Explanation: 8×19+4×49-39=
=152+196-39
=348-39
=309

Problem Solving

Question 7.
A bakery has 4 trays with 16 muffins on each tray. The bakery has 3 trays of cupcakes with 24 cupcakes on each tray. If 15 cupcakes are sold, how many muffins and cupcakes are left?

Answer: 121 muffins and cupcakes.

Explanation: 4×16+3×24-15=n
64+3×24-15=n
64+72-15=n
136-15=n
121=n

Question 8.
Katy bought 5 packages of stickers with 25 stickers in each package. She also bought 3 boxes of markers with 12 markers in each box. If she receives 8 stickers from a friend, how many stickers and markers does Katy have now?

Answer: 169 stickers and markers.

Explanation: 5×25+3×12+8=n
125+3×12+8=n
125+36+8=n
169=n

Common Core – Solve Multistep Problems Using Equations – Lesson Check – Page No. 136

Question 1.
What is the value of n?
9 × 23 + 3 × 39 – 28 = n
Options:
a. 240
b. 296
c. 2,310
d. 8,162

Answer: 296

Explanation: 9×23+3×39–28=
=207+117-28
=324-28
=296

Question 2.
Which expression has a value of 199?
Options:
a. 4 × 28 + 6 × 17 – 15
b. 4 × 17 + 6 × 28 – 38
c. 4 × 38 + 6 × 15 – 28
d. 4 × 15 + 6 × 38 – 88

Answer: a

Explanation: 4×28+6×17-15=
=112+102-15
=214-15
=199.

Spiral Review

Question 3.
Which expression shows how you can multiply 9 × 475 using expanded form and the Distributive Property?
Options:
a. (9 × 4) + (9 × 7) + (9 × 5)
b. (9 × 4) + (9 × 70) + (9 × 700)
c. (9 × 400) + (9 × 70) + (9 × 5)
d. (9 × 400) + (9 × 700) + (9 × 500)

Answer: c

Explanation: Distributive property means if we multiply a sum by a number is the same as multiplying each addend by the number and adding the products.
9 × 475= (9×400)+(9×70)+(9×5)

Question 4.
Which equation best represents the comparison sentence?
32 is 8 times as many as 4
Options:
a. 32 = 8 × 4
b. 32 × 8 = 4
c. 32 = 8 + 4
d. 8 + 4 = 32

Answer: a

Explanation: 32=8×4

Question 5.
Between which pair of numbers is the exact product of 379 and 8?
Options:
a. between 2,400 and 2,500
b. between 2,400 and 2,800
c. between 2,400 and 3,000
d. between 2,400 and 3,200

Answer: d

Explanation: 379×8= 3,032

Question 6.
Which of the following statements shows the halving and doubling strategy to find 28 × 50?
Options:
a. 28 × 50 = 14 × 100
b. 28 × 50 = (14 × 25) × (14 × 25)
c. 28 × 50 = (20 × 50) × (8 × 50)
d. 28 × 50 = 2 × (14 × 25)

Answer: a

Explanation: 28×50 = 14×100

Review/Test – Page No. 137

For 1–3, use the table.

Question 1.
What is the cost of 3 Bur Oak trees? Show your work.

Answer: $96.

Explanation: Each Bur oak tree costs $32 for 3 and above, so $32×3=$96.

Question 2.
Mr. Tan buys 4 White Pine trees and 5 Birch trees. What is the cost of the trees? Show your work and explain how you found the answer.

Answer: $188.

Explanation: As 4 white pine trees cost is $37 each, so $37×4= $148 and 5 birch trees cost $8 each, so 5×$8= $40. Total cost of trees are $148+$40= $188.

Question 3.
Rudy will buy 3 Ivory Silk Lilac trees or 2 Bur Oak trees. He wants to buy the trees that cost less. What trees will he buy? How much will he save? Show your work.

Answer: Rudy will take 3 Ivory Silk Lilac trees which costs $66.

Explanation: If Rudy buys 3 Ivory Silk Lilac trees which costs $22 each, so $22×3=$66. And if 2 Bur Oak trees price is $35 each which means $35×2= $70. As Rudy wants to buy the trees that cost less, so he will take 3 Ivory Silk Lilac trees which cost $66.

Review/Test – Page No. 138

Question 4.
For numbers 4a–4d, select True or False for each equation.
a. 7 × 194 = 1,338
i. True
ii. False

Answer: False

Explanation: 7×194= 1,338.

Question 4.
b. 5 × 5,126 = 25,630
i. True
ii. False

Answer: True

Explanation: 5×5,126= 25,630.

Question 4.
c. 8 × 367 = 2,926
i. True
ii. False

Answer: False

Explanation: 8×367= 2,936

Question 4.
d. 4 × 3,952 = 15,808
i. True
ii. False

Answer: True

Explanation: 4×3952= 15,808

Question 5.
Part A
Draw a line to match each section in the model to the partial product it represents.

 

Question 5.
Part B
Then find 3 × 146. Show your work and explain.

Answer: 438.

Explanation: By distributive property
3×146= 3×(100+40+6)
=(3×100)+(3×40)+( 3×6)
=300+120+18
=438.

Review/Test – Page No. 139

Question 6.
For numbers 6a–6c, write an equation or a comparison sentence using the numbers on the tiles.
a.


______ times as many as ______ is ______ .

Answer: 8 times as many as 4 is 32.

Explanation: 8×4= 32.

Question 6.
b.

______ × ______ = ______

Answer: 6 times as many as 8 is 48.

Explanation: 6×8= 48.

Question 6.
c.
9 × 3 = 27
______ times as many as ______ is ______ .

Answer: 9 times as many as 3 is 27

Question 7.
Multiply 7 × 43. For 7a–7d, select True or False for each statement.
a. A reasonable estimate of the product is 280.
i. True
ii. False

Answer: True

Explanation: 7×43= 301. Take 43 and round off to 40 then 40×7= 280.

Question 7.
b. Using partial products, the products are 21 and 28.
i. True
ii. False

Answer: False

Explanation: 7×43= 7×(40+3)
=(7×40)+(7×3)
=280+21. So partial products are 280 and 21.

Question 7.
c. Using regrouping, 21 ones are regrouped as 1 ten and 2 ones.
i. True
ii. False

Answer: False.

Explanation: 1 ten and 2 ones is 12

Question 7.
d. The product is 301.
i. True
ii. False

Answer: True.

Explanation: 7×43= 7×(40+3)
=(7×40)+(7×3)
=280+21
=301.

Question 8.
It costs 9,328 points to build each apartment building in the computer game Big City Building. What is the cost to build 5 apartment buildings? Show your work.

Answer: 46,640 points.

Explanation: The cost of each building apartment is 9,328 points. To build 5 apartments its costs 9,3287×5= 46,640 points.

Review/Test – Page No. 140

Question 9.
Multiply 7 × 462 using place value and expanded form.
Choose the number from the box to complete the expression.

Answer: 400, 60, 2

Explanation: 7×462= 7×(400+60+2).

Question 10.
For numbers 10a–10b, use place value to find the product.
a.
3 × 600 = 3 × ______ hundreds
= ______ hundreds
______

Answer: 6 hundreds, 18 hundreds , 1800

Explanation: 3 × 600 = 3 × 6 hundreds
= 18 hundreds
= 1800.

Question 10.
b.
5 × 400 = 5 × ______ hundreds
______ hundreds
______

Answer: 4hundreds, 20hundreds, 2,000.

Explanation: 5 × 400 = 5 × 4hundreds
= 20 hundreds
= 2,000.

Question 11.
Liam has 3 boxes of baseball cards with 50 cards in each box. He also has 5 boxes with 40 basketball cards in each box. If Liam goes to the store and buys 50 more baseball cards, how many baseball and basketball cards does Liam have? Show your work.

Answer: Liam has 400 baseball and baseball cards.

Explanation: Liam has 3 boxes of baseball cards and there are 50 cards in each box, so total cards are 50×3= 150 baseball cards. And he has 5 boxes with 40 baseball cards in each box which means 5×40= 200. So total baseball cards are 150+200= 350. And he went to the store to buy 50 more baseball cards, so total baseball cards are 350+50= 400.

Review/Test – Page No. 141

Question 12.
There is a book sale at the library. The price for each book is $4. Which expression can be used to show how much money the library will make if it sells 289 books? Use the numbers on the tiles to complete your answer.

(4 × ______) + (4 × ______) + (4 × ______)

Answer: 200, 80, 9.

Explanation: As the price of each book is $4, so for 289 books it will be 4×289
= 4×(200+80+9)
=(4×200)+(4×80)+(4×9)
=800+320+36
=1,156.

Question 13.
Find 8 × 397. Show your work and explain why the strategy you chose works best with the factors.

Answer: 3,176.

Explanation: 8×397= 8×(300+90+7)
=(8×300)+(8×90)+(8×7)
=2400+720+56
=3,176.

Question 14.
A clown bought 6 bags of round balloons with 24 balloons in each bag. The clown also bought 3 bags of long balloons with 36 balloons in each bag.
Part A
How many more long balloons than round balloons did the clown buy? Show your work.
______ balloons

Answer: 36.

Explanation: As clown bought 6 bags of round balloons with 24 balloons in each bag, so
6×24= 144 and 3 bags of long balloons with 36 balloons in each bag, so 3×36= 108, So
144-108= 36.

Question 14.
Part B
The clown also bought 5 bags of heart-shaped balloons with 14 balloons in each bag. When the clown blew up all of the round, long, and heart-shaped balloons, 23 balloons burst. How many blown-up balloons were left? Explain your answer.
______ blown-up balloons

Answer: 299.

Explanation: The no. of heart-shaped balloons 5×14= 70. Then add that number to the number of round balloons and long balloons 70+144+108= 322 balloons in all. Then subtract the number of burst balloons, so 322-23= 299 balloons left.

Review/Test – Page No. 142

Question 15.
Hector planted 185 flowers in 2 days. There were 5 volunteers, including Hector, who each planted about the same number of flowers. About how many flowers did they plant?

Answer: 1000.

Explanation: Hector planted 185 flowers in 2 days, so 5 volunteers can plant 185×5= 925.

Question 16.
Jay and Blair went fishing. Together, they caught 27 fish. Jay caught 2 times as many fish as Blair. How many fish did Jay and Blair each catch? Write an equation and solve. Explain your work.
Jay: ______ fish;         Blair: ______ fish

Answer: Blair caught 9 fishes and Jay caught 18 fishes.

Explanation: Blair caught n fish and Jay caught 2×n fish. Together they caught 3×n fish, so
3×n= 27 and n= 9 fishes, and 2×n= 18 fishes. Blair caught 9 fishes and Jay caught 18 fishes

Question 17.
At the pet fair, Darlene’s dog weighed 5 times as much as Leah’s dog. Together, the dogs weighed 84 pounds. How much did each dog weigh? Complete the bar model. Write an equation and solve.

Leah’s dog: ______ pounds; Darlene’s dog: ______ pounds;

Answer: Leah’s dog is 14 pound and Darlene’s dog weight is 70 pounds.

Explanation:

Let Leah’s dog weight be X and Darlene’s is 5 times as many as Leah’s, so Darlene’s dog weight be 5X. As together weight is 84 pounds, then X+5X= 84 and X= 14. So Leah’s dog weight is 14 and Darlene’s dog weight is 5×14= 70.

Question 18.
Use the Distributive Property to model the product on the grid.
Record the product.

4 × 12 = ______

Answer: 4×12= 48.

Explanation: 4×12=4×(10+2)
=(4×10)+(4×2)
=40+8
=48

Page No. 147

Question 1.
Find 20 × 27. Tell which method you chose. Explain what happens in each step.

Answer: 540

Explanation: It is mental maths. Because 2×27= 54 and 20×27= 540.

Choose a method. Then find the product.

Question 2.
10 × 12 = ______

Answer: 120

Explanation: Mental math, as 1×12=12 and 10×12= 120

Question 3.
20 × 20 = ______

Answer: 400

Explanation: Mental math, as 2×2=4 and 20×20= 400

Question 4.
40 × 24 = ______

Answer: 960

Explanation: Mental math, as 4×24=96 and 40×24= 960

Question 5.
11 × 60 = ______

Answer: 660

Explanation: Mental math, as 11×6=66 and 11×60= 660

Choose a method. Then find the product.

Question 6.
70 × 55 = ______

Answer: 3850

Explanation: Mental math, as 7×55=385 and 70×55= 3850

Question 7.
17 × 30 = ______

Answer: 510

Explanation: Mental math, as 17×3=51 and 17×30= 510

Question 8.
30 × 60 = ______

Answer: 1800

Explanation: Mental math, as 30×60=1800 and 30×60= 1800

Question 9.
12 × 90 = ______

Answer: 1080

Explanation: Mental math, as 12×9=108 and 12×90= 1080.

Reason Quantitatively Algebra Find the unknown digit in the number.

Question 10.
64 × 40 = 2,56■
■ = ______

Answer: 2,560

Explanation: Mental math, as 64×4=256 and 64×40= 510

Question 11.
29× 50 = 1,★50
★ = ______

Answer: 4

Explanation: Mental math, as 29×5=145 and 29×50= 1450

Question 12.
3⧫× 47 = 1,410
⧫ = ______

Answer: 0

Explanation: Mental math, as 3×47=1410 and 30×47= 1410

Question 13.
Caroline packs 12 jars of jam in a box. She has 40 boxes. She has 542 jars of jam. How many jars of jam will she have left when all the boxes are full?

Answer: 62 jars.

Explanation: Caroline packs 12 jars in a box and she has 40 boxes, so total boxes are
12×40= 480 boxes. As she has 542 jars of jam, so total jars left are 542-480= 62 jars.

Question 14.
Alison is preparing for a math contest. Each day, she works on multiplication problems for 20 minutes and division problems for 10 minutes. How many minutes does Alison practice multiplication and division problems in 15 days?

Answer: 450 mins.

Explanation: As Alison works on multiplication problems for 20 mins and 10 mins on division problems, So total time taken by Alison is 20+10=30 mins. So for 15 days Alison takes
15×30= 450 mins.

Page No. 148

Use the table for 15–16.

Question 15.
Use Graphs How many frames did it take to produce 50 seconds of Pinocchio?

Answer: 950 Frames.

Explanation: Total frames are 50×19= 950 frames.

Question 16.
Are there fewer frames in 10 seconds of The Flintstones or in 14 seconds of The Enchanted Drawing? What is the difference in the number of frames?

Answer: 40

Explanation: The Flintstone frames in 10 seconds are 10×24= 240 and The Enchanted Drawing frames are 14×20= 280. So the difference between them is 280-240= 40.

Question 17.
The product of my number and twice my number is 128. What is half my number? Explain how you solved the problem.

Answer: 4.

Explanation: First make a table to test numbers less than 10 since 10×20= 200, and 2×8= 16 then 8×16= 128 and 8÷2= 4.

Question 18.
Tanya says that the product of a multiple of ten and a multiple of ten will always have only one zero. Is she correct? Explain.

Answer: No.

Explanation: The product of two multiples of ten will always have at least 2 zeros.

Question 19.
For numbers 19a–19e, select Yes or No to tell whether the answer is correct.
a. 28 × 10 = 280
i. yes
ii. no

Answer: Yes

Question 19.
b. 15 × 20 = 300
i. yes
ii. no

Answer: Yes

Question 19.
c. 17 × 10 = 17
i. yes
ii. no

Answer: No

Question 19.
d. 80 × 10 = 800
i. yes
ii. no

Answer: Yes

Question 19.
e. 16 × 30 = 1,800
i. yes
ii. no

Answer: No