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Multiply Decimals Go Math Grade 5 Chapter 4 Answer Key Pdf
All the questions included in the Go Math Grade 5 Chapter 4 Multiply Decimals solution key are from simple to difficulty level. Every question will create a room of interest to solve them. So, students will never feel bore to solve all the questions. If they face difficulties, then they can easily check the explanation and answer to clear their doubts. Go Math Grade 5 Chapter 4 Answer Key will make the students comfortable enough with math that makes them feel confident.
Lesson 1: Algebra • Multiplication Patterns with Decimals
- Multiplication Patterns with Decimals – Page No. 165
- Multiplication Patterns with Decimals Lesson Check – Page No. 166
Lesson 2: Investigate • Multiply Decimals and Whole Numbers
- Multiply Decimals and Whole Numbers – Page No. 167
- Multiply Decimals and Whole Numbers Lesson Check – Page No. 168
Lesson 3: Multiplication with Decimals and Whole Numbers
- Multiplication with Decimals and Whole Numbers – Page No. 171
- Multiplication with Decimals and Whole Numbers Lesson Check – Page No. 172
Lesson 4: Multiply Using Expanded Form
- Multiply Using Expanded Form – Page No. 175
- Multiply Using Expanded Form Lesson Check – Page No. 176
Lesson 5: Problem Solving • Multiply Money
Mid-Chapter Checkpoint
Lesson 6: Investigate • Decimal Multiplication
Lesson 7: Multiply Decimals
- Multiply Decimals – Page No. 188
- Multiply Decimals Lesson Check – Page No. 189
- Multiply Decimals Lesson Check 1 – Page No. 190
Lesson 8: Zeros in the Product
Review/Test
- Review/Test – Page No. 195
- Review/Test – Page No. 196
- Review/Test – Page No. 197
- Review/Test – Page No. 198
Share and Show – Page No. 165
Complete the pattern.
Question 1.
100 × 17.04 = 17.04
101 × 17.04 = 17.04
102 × 17.04 = 17.04
103 × 17.04 = 17.04
_____
Answer:
100 × 17.04 = 17.04
101 × 17.04 = 170.4
102 × 17.04 = 1,704
103 × 17.04 =17,040
Explanation:
As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side.
100 × 17.04 = 1 x 17.04 = 17.04
101 × 17.04 = 10 x 17.04 = 170.4
102 × 17.04 = 100 x 17.04 = 1,704
103 × 17.04 = 1000 x 17.04 = 17,040
Complete the pattern.
Question 2.
1 × 3.19 = _____
10 × 3.19 = _____
100 × 3.19 = _____
1,000 × 3.19 = _____
Answer:
1 × 3.19 = 3.19
10 × 3.19 = 31.9
100 × 3.19 = 319
1,000 × 3.19 = 3,190
As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side.
Go Math 5th Grade 4.1 Answer Key Question 3.
45.6 × 100 = _____
45.6 × 101 = _____
45.6 × 102 = _____
45.6 × 103 = _____
Answer:
45.6 × 100 = 45.6
45.6 × 101 = 456
45.6 × 102 = 4,560
45.6 × 103 = 45,600
Explanation:
As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side.
45.6 × 100 = 45.6 x 1 = 45.6
45.6 × 101 = 45.6 x 10 = 456
45.6 × 102 = 45.6 x 100 = 4,560
45.6 × 103 = 45.6 x 1000 = 45,600
Question 4.
1 × 6,391 = _____
0.1 × 6,391 = _____
0.01 × 6,391 = _____
Answer:
1 × 6,391 = 6,391
0.1 × 6,391 = 639.1
0.01 × 6,391 = 63.91
As you multiply by decreasing powers of 10, the position of the decimal point moves towards the left side
On Your Own
Complete the pattern.
Question 5.
1.06 × 1 = _____
1.06 × 10 = _____
1.06 × 100 = _____
1.06 × 1,000 = _____
Answer:
1.06 × 1 = 1.06
1.06 × 10 = 10.6
1.06 × 100 = 106
1.06 × 1,000 = 1,060
As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side.
Question 6.
1 × 90 = _____
0.1 × 90 = _____
0.01 × 90 = _____
Answer:
1 × 90 = 90
0.1 × 90 = 9.0 = 9
0.01 × 90 = 0.9
Explanation:
As you multiply by decreasing powers of 10, the position of the decimal point moves towards the left side
1 × 90 = 90
0.1 × 90 = 9.0
0.01 × 90 = 0.90
Question 7.
100 × $0.19 = $ _____
101 × $0.19 = $ _____
102 × $0.19 = $ _____
103 × $0.19 = $ _____
Answer:
100 × $0.19 = $ 0.19
101 × $0.19 = $ 1.9
102 × $0.19 = $ 19
103 × $0.19 = $ 190
Explanation:
As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side.
100 × $0.19 = $ 0.19
101 × $0.19 = $ 1.9
102 × $0.19 = $ 19
103 × $0.19 = $ 190
Go Math Lesson 4.1 5th Grade Question 8.
580 × 1 = _____
580 × 0.1 = _____
580 × 0.01 = _____
Answer:
580 × 1 = 580
580 × 0.1 = 58
580 × 0.01 = 5.8
Explanation:
As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side.
580 × 1 = 580
580 × 0.1 = 58.0 = 58
580 × 0.01 = 5.8
Question 9.
100 × 80.72 = _____
101 × 80.72 = _____
102 × 80.72 = _____
103 × 80.72 = _____
Answer:
100 × 80.72 = 80.72
101 × 80.72 = 807.2
102 × 80.72 = 8,072
103 × 80.72 = 80,720
Explanation:
As you multiply by decreasing powers of 10, the position of the decimal point moves towards the left side
100 × 80.72 = 80.72
101 × 80.72 = 807.2
102 × 80.72 = 8,072
103 × 80.72 = 80,720
Question 10.
1 × 7,230 = _____
0.1 × 7,230 = _____
0.01 × 7,230 = _____
Answer:
1 × 7,230 = 7,230
0.1 × 7,230 = 723
0.01 × 7,230 = 72.3
Explanation:
As you multiply by increasing powers of 10, then the position of the decimal point moves towards the right side.
1 × 7,230 = 7,230
0.1 × 7,230 = 723.0 = 723
0.01 × 7,230 = 72.3
Algebra Find the value
of n.
Question 11.
n × $3.25 = $325.00
n = _____
Answer:
n = 100
Explanation:
n × $3.25 = $325.00
n × $3.25 = $325.00
n x $325 x $0.01 = $325.00
n x $325 x $1/100 = $325.00
n =Â $325.00/$325 x 100
n = 1 x 100 = 100
Question 12.
0.1 × n = 89.5
n = _____
Answer:
n = 895
Explanation:
0.1 × n = 89.5
1/10 x n = 895 x 0.1
n = 895 x 0.1 x 10
n = 895
Go Math Grade 5 Chapter 4 Lesson 4.3 Answer Key Question 13.
103 × n = 630
n = _____
Answer:
n = 0.63
Explanation:
103 × n = 630
1000 x n = 630
n = 630 x 1/1000
n = 630 x 0.001
n = 0.63
Problem Solving – Page No. 166
What’s the Error?
Question 14.
Kirsten is making lanyards for a convention. She needs to make 1,000 lanyards and knows that 1 lanyard uses 1.75 feet of cord. How much cord will Kirsten need?
Kirsten’s work is shown below.
1 × 1.75 = 1.75
10 × 1.75 = 10.75
100 × 1.75 = 100.75
1,000 × 1.75 = 1,000.75
| Find and describe Kirsten’s error. | Solve the problem using the correct pattern. |
| As you can see from the given pattern, by multiplying 1.75 by different multiplicands, she just replaced the whole number, the number before the decimal point (in our use number 1), with belonging. But this is not the way we multiply decimal numbers with different powers of number 10. |
1 x 1.75= 1.75 10 x 1.75= 17.5 100 x 1.75= 175 1,000 x 1.75= 1,750 |
So, Kirsten needs ______ feet of cord to make 1,000 lanyards.
Describe how Kirsten could have solved the problem without writing out the pattern needed.
Type below:
________
Answer:
Kirsten needs 1,750 feet of cord to make 1,000 lanyards.
that decimal point moves one Noce M to the right for each increasing power of 10. So, the answer is 1,750 feet.
Share and Show – Page No. 167
Use the decimal model to find the product.
Question 1.
5 × 0.06 =
_____
Answer:
5 × 0.06 = 0.3
Explanation:
The picture shows that 5 groups of 6 hundredths.
0.06 = 6 hundredths
Each square box shows 1/ 100.
So, shade 6 boxes 5 times to get the product.
Count the number of boxes shaded. There are 30 hundredths are shaded = 0.30 = 0.3
5 × 0.06 = 0.3
Question 2.
2 × 0.38 =
_____
Answer:
2 × 0.38 = 0.76
Explanation:
The picture shows 2 groups of 38 hundredths.
0.38 = 38 hundredths
Each square box shows 1/ 100.
So, shade 38 boxes 2 times to get the product. 38 hundredths + 38 hundredths = 76 hundredths = 0.76.
Chapter 4 Extra Practice Lesson 4.2 Answer Key Question 3.
4 × 0.24 =
_____
Answer:
4 × 0.24 = 0.96
Explanation:
4 groups of 24 hundredths
Each square box shows 1/ 100.
So, shade 24 boxes 4 times to get the product. 24 hundredths + 24 hundredths + 24 hundredths + 24 hundredths = 96 hundredths = 0.96.
Find the product. Draw a quick picture.
Question 4.
4 × 0.6 =
_____
Answer:
4 × 0.6 = 2.4
Explanation:
4 × 0.6
4 groups of 6-tenths
0.6 + 0.6 + 0.6 + 0.6 = 2.4
4 × 0.6 = 2.4
Question 5.
2 × 0.67 =
_____
Answer:
2 × 0.67 = 1.34
Explanation:
2 × 0.67
2 groups of 67 hundredths
0.67 + 0.67 = 1.34
2 × 0.67 = 1.34
Question 6.
3 × 0.62 =
_____
Answer:
3 × 0.62 = 1.86
Explanation:
3 × 0.62
3 groups of 62 hundredths
0.62 + 0.62 + 0.62 = 1.86
3 × 0.62 = 1.86
Question 7.
4 × 0.32 =
_____
Answer:
4 × 0.32 = 1.28
Explanation:
4 × 0.32
4 groups of 32 hundredths
0.32 + 0.32 + 0.32 + 0.32 = 1.28
4 × 0.32 = 1.28
Go Math Grade 5 Chapter 4 Review/Test Answer Key Question 8.
Describe how you solved Exercise 7 using place value and renaming.
Type below:
________
Answer:
4 × 0.32
4 groups of 32 hundredths
There are 32 hundredths.
32 hundredths there are 30 tenths and 2 hundredths.
Combine the tenths and rename.
2 + 2 + 2 + 2 = 8
Combine the tenths and rename.
There are 3-tenths.
3 + 3 + 3 + 3 = 12; 2 tenths and 1 tens
Cross out the tenths you renamed.
Combine the ones and rename them.
0 + 0 + 0 + 0 + 1 = 1
1.28
4 × 0.32 = 1.28
Problem Solving – Page No. 168
Use the table for 9–11.
Question 9.
Each day a bobcat drinks about 3 times as much water as a Canada goose drinks. How much water can a bobcat drink in one day?
_____ liter
Answer:
0.72 liters
Explanation:
Each day a bobcat drinks about 3 times as much water as a Canada goose drinks.
Canada goose = 0.24 liters
bobcat drinks = 3 x 0.24
3 x 0.24 = 0.72 liters
Question 10.
River otters drink about 5 times as much water as a bald eagle drinks in a day. How much water can a river otter drink in one day?
_____ liter
Answer:
0.8 liter
Explanation:
River otters drink about 5 times as much water as a bald eagle drink in a day.
Bald Eagle drinks 0.16 liters
5 times as 0.16 liters = 5 x 0.16 = 0.8 liter
Question 11.
Explain how you could use a quick picture to find the amount of water that a cat drinks in 5 days.
Type below:
________
Answer:
Explanation:
Cat drinks 0.15 liters of water in a day.
In 5 days, 5 x 0.15 = 0.75
Chapter 4 Review Test 5th Grade Answer Key Question 12.
Test Prep Jared has a parakeet that weighs 1.44 ounces. Susie has a Senegal parrot that weighs 3 times as much as Jared’s parakeet. How many ounces does Susie’s parrot weigh?
Options:
a. 0.32 ounce
b. 0.43 ounce
c. 4.32 ounces
d. 43.2 ounces
Answer:
c. 4.32 ounces
Explanation:
Jared has a parakeet that weighs 1.44 ounces. Susie has a Senegal parrot that weighs 3 times as much as Jared’s parakeet.
Susie’s parrot weigh 3 x 1.44 ounces = 4.32 ounces
Share and Show – Page No. 171
Place the decimal point in the product.
Question 1.
6.81
×  7
———-
4767
Think: The place value of the decimal factor is a hundredths.
Answer:
6.81 x 7 = 47.67
Explanation:
6.81 x 7 = 7 x 6.81
7 x (6 + 0.81) = (7 x 6) + (7 x 0.81) = 42 + 5.67 = 47.67
Question 2.
3.7
× 2
———-
74
_____
Answer:
7.4
Explanation:
3.7 x 2
3.7 x 10 = 37
37 x 2 = 74
37 x 0.1 = 3.7
74 x 0.1 = 7.4
Go Math 5th Grade 4.3 Answer Key Question 3.
19.34
×  5
———-
9670
_____
Answer:
96.7
Explanation:
19.34 x 100 = 1934
1934 x 5 = 9670
1934 x 0.01 = 19.34
9670 x 0.01 = 96.7
Find the product.
Question 4.
6.32
× 3
———-
_____
Answer:
18.96
Explanation:
6.32 x 100 = 632
632 x 3 = 1896
632 x 0.01 = 6.32
1896 x 0.01 = 18.96
Question 5.
4.5
× 8
———-
_____
Answer:
36
Explanation:
4.5 x 10 = 45
45 x 8 = 360
45 x 0.1 = 4.5
360 x 0.1 = 36.0
Question 6.
40.7
× 5
———-
_____
Answer:
203.5
Explanation:
40.7 x 10 = 407
407 x 5 = 2035
407 x 0.1 = 40.7
2035 x 0.1 = 203.5
On Your Own
Find the product.
Question 7.
4.93
×  7
———-
_____
Answer:
34.51
Explanation:
7 x 3 = 21 hundredths; 2 tenths and 1 hundredths
7 x 9 = 63 tenths; 63 + 2 tenths = 65 tenths; 6 ones and 5 tenths
4 x 7 = 28; 28 + 6 = 34 ones;
34.51
Question 8.
8.2
× 6
———-
_____
Answer:
49.2
Explanation:
6 x 2 = 12 tenths; 1 ones and 2 tenths
6 x 8 = 48; 48 + 1 = 49 ones
49.2
Go Math 5th Grade Lesson 4.3 Homework Answers Question 9.
0.49
×  4
———-
_____
Answer:
1.96
Explanation:
9 x 4 = 36 hundredths; 3 tenths and 6 hundredths
4 x 4 = 16 tenths; 16 + 3 tenths = 19 tenths; 1 ones and 9 tenths
4 x 0 = 0; 0 + 1 = 1ones;
1.96
Question 10.
9.08
×  9
———-
_____
Answer:
81.72
Explanation:
9 x 8 = 72 hundredths; 7 tenths and 2 hundredths
9 x 0 = 0 tenths; 0 + 7 tenths = 7 tenths; 7 tenths
9 x 9 = 81; 81
81.72
Question 11.
7.55
× 8
———-
_____
Answer:
60.4
Explanation:
8 x 5 = 40 hundredths; 4 tenths and 0 hundredths
8 x 5 = 40 tenths; 40 + 4 tenths = 44 tenths; 4 ones and 4 tenths
8 x 7 = 56 ones; 56 + 4 = 60 ones
60.40 = 60.4
Question 12.
15.37
×  5
———-
_____
Answer:
76.85
Explanation:
5 x 7 = 35 hundredths; 3 tenths and 5 hundredths
5 x 3 = 15 tenths; 15 + 3 tenths = 18 tenths; 1 ones and 8 tenths
5 x 5 = 25 ones; 25 + 1 = 26 ones; 2 hundreds and 6 ones
5 x 1 = 5 hundreds; 5 + 2 = 7 hundreds
76.85
Practice: Copy and Solve Find the product.
Question 13.
8 × 7.2 = _____
Answer:
8 × 7.2 = 57.6
Explanation:
8 × 7.2 = 8 x (7 + 0.2) = (8 x 7) + (8 x 0.2) = 56 + 1.6 = 57.6
Question 14.
3 × 1.45 = _____
Answer:
3 × 1.45 = 4.35
Explanation:
3 x 1.45 = 3 x (1 + 0.45) = (3 x 1) + (3 x 0.45) = 3 + 1.35 = 4.35
Question 15.
9 × 8.6 = _____
Answer:
9 × 8.6 = 77.4
Explanation:
9 × 8.6 = 9 x (8 + 0.6) = (9 x 8) + (9 x 0.6) = 72 + 5.4 = 77.4
Question 16.
6 × 0.79 = _____
Answer:
6 × 0.79 = 4.74
Explanation:
6 x 0.79 = 4.74
Question 17.
4 × 9.3 = _____
Answer:
4 × 9.3 = 37.2
Explanation:
4 × 9.3 = 4 x (9 + 0.3) = (4 x 9) + (4 x 0.3) = 36 + 1.2 = 37.2
Go Math Grade 5 Chapter 4 Test Pdf Question 18.
7 × 0.81 = _____
Answer:
7 × 0.81 = 5.67
Explanation:
7 × 0.81 = 5.67
Question 19.
6 × 2.08 = _____
Answer:
6 × 2.08 = 12.48
Explanation:
6 × 2.08 = 6 x (2 + 0.08) = (6 x 2) + (6 x 0.08) = 12 + 0.48 = 12.48
Question 20.
5 × 23.66 = _____
Answer:
5 × 23.66 = 118.3
Explanation:
5 × 23.66 = 5 x (23 + 0.66) = (5 x 23) + (5 x 0.66) = 115 + 3.3 = 118.3
Problem Solving – Page No. 172
Use the table for 21–23.
Question 21.
Sari has a bag containing 6 half dollars. What is the weight of the half dollars in Sari’s bag?
_____ grams
Answer:
68.04 grams
Explanation:
Sari has a bag containing 6 half dollars.
Half dollars = 11.34 grams
6 x 11.34 = 68.04 grams
The weight of the half dollars in Sari’s bag is 68.04 grams.
Question 22.
Felicia is running a game booth at a carnival. One of the games requires participants to guess the weight, in grams, of a bag of 9 dimes. What is the actual weight of the dimes in the bag?
_____ grams
Answer:
20.43 grams
Explanation:
Felicia is running a game booth at a carnival. One of the games requires participants to guess the weight, in grams, of a bag of 9 dimes.
9 x 2.27 grams = 20.43 grams
Question 23.
Chance has $2 in quarters. Blake has $5 in dollar coins. Whose coins have the greatest weight? Explain.
_________
Answer:
Dollar coins has the greatest weight than quarters.
Explanation:
$2 means 4 quarters = 4 x 5.67 = 22.68
$5 in dollar coins = 5 x 8.1 = 40.5
Dollar coins has the greatest weight than quarters.
Question 24.
Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not correct. Find the correct answer.
Type below:
_________
Answer:
6.27 has two decimal digits
438.9 has one decimal digit
Therefore, Julie’s answer is not correct.
6.27 x 7 = 43.89
Question 25.
Test Prep Every day on his way to and from school, Milo walks a total of 3.65 miles. If he walks to school 5 days, how many miles will Milo have walked?
_____ miles
Answer:
18.25 miles
Explanation:
Milo walks a total of 3.65 miles.
If he walks to school 5 days, 5 x 3.65 = 18.25 miles
Share and Show – Page No. 175
Draw a model to find the product.
Question 1.
19 × 0.75 =
_____
Answer:
14.25
Explanation:
19 × 0.75
19 = 10 + 9
0.75 = 0.7 + 0.05
10 x 0.7 = 7
10 x 0.05 = 0.5
9 x 0.7 = 6.3
9 x 0.05 = 0.45
7 + 0.5 + 6.3 + 0.45 = 14.25
19 × 0.75 = 14.25
Go Math Grade 5 Lesson 4 Multiply Decimals by Decimals Question 2.
27 × 8.3 =
_____
Answer:
224.1
Explanation:
27 × 8.3 = 224.1
27 = 20 + 7
8.3 = 8 + 0.3
20 x 8 = 160
20 x 0.3 = 6
7 x 8 = 56
7 x 0.3 = 2.1
160 + 6 + 56 + 2.1 = 224.1
Find the product.
Question 3.
18 × 8.7 = _____
Answer:
18 × 8.7 = 156.6
Explanation:
8.7 x 10 = 87
18 x 87 = 1566
87 x 0.1 = 8.7
1566 x 0.1 = 156.6
Question 4.
23 × 56.1 = _____
Answer:
1290.3
Explanation:
56.1 x 10 = 561
561 x 23 = 12,903
561 x 0.1 = 56.1
12,903 x 0.1 = 1290.3
Question 5.
47 × 5.92 = _____
Answer:
278.24
Explanation:
5.92 x 100 = 592
592 x 47 = 27,824
592 x 0.01 = 5.92
27,824 x 0.01 = 278.24
On Your Own
Draw a model to find the product.
Question 6.
71 × 8.3 =
_____
Answer:
589.3
Explanation:
71 = 70 + 1
8.3 = 8 + 0.3
70 x 8 = 560
70 x 0.3 = 21
1 x 8 = 8
1 x 0.3 = 0.3
560 + 21 + 8 + 0.3 = 589.3
Question 7.
28 × 0.91 =
_____
Answer:
25.48
Explanation:
28 = 20 + 8
0.91 = 0.90 + 0.01
20 x 0.90 = 18
20 x 0.01 = 0.2
8 x 0.90 = 7.2
8 x 0.01 = 0.08
18 + 0.2 + 7.2 + 0.08 = 25.48
Find the product.
Question 8.
19 × 0.65 = _____
Answer:
19 × 0.65 = 12.35
Explanation:
0.65 x 100 = 65
65 x 19 = 1235
65 x 0.01 = 0.65
1235 x 0.01 = 12.35
Question 9.
34 × 98.3 = _____
Answer:
34 × 98.3 = 3342.2
Explanation:
98.3 x 10 = 983
983 x 34 = 33,422
983 x 0.1 = 98.3
33,422 x 0.1 = 3342.2
Lesson 4 Homework Practice Multiply Decimals by Decimals Answer Key Question 10.
26 × 16.28 = _____
Answer:
26 × 16.28 = 423.28
Explanation:
16.28 x 100 = 1628
1628 x 26 = 42,328
1628 x 0.01 = 16.28
42,328 x 0.01 = 423.28
UNLOCK the Problem – Page No. 176
Question 11.
While researching facts on the planet Earth, Kate learned that a true Earth day is about 23.93 hours long. How many hours are in 2 weeks on Earth?
a. What are you being asked to find?
Type below:
_________
Answer:
We need to find How many hours are in 2 weeks on Earth? 2 weeks x 23.93 hours per day?
Question 11.
b. What information do you need to know to solve the problem?
Type below:
_________
Answer:
Number of days in a week
Hours per day
Question 11.
c. Write an expression to represent the problem to be solved.
Type below:
_________
Answer:
2 weeks = 14 days
14 x 23.93 hours
Question 11.
d. Show the steps you used to solve the problem.
Type below:
_________
Answer:
335.02 hours
Explanation:
23.93 = 23.93 x 100 = 2393
2393 x 14 = 33,502
2393 x 0.01 = 23.93
33502 x 0.01 = 335.02
Question 11.
e. Complete the sentences.
On Earth, there are about _____ hours in a day, _____ days in 1 week, and _____ days in two weeks.
Since _____ × _____ = _____, there are about _____ hours in 2 weeks on Earth.
Type below:
_________
Answer:
On Earth, there are about 23.93 hours in a day, 7 days in 1 week, and 14 days in two weeks.
Since 23.93 × 14 = 335.02, there are about 335.02 hours in 2 weeks on Earth.
Question 12.
Michael’s favorite song is 3.19 minutes long. If he listens to the song 15 times on repeat, how long will he have listened to the same song?
_____ minutes
Answer:
47.85 minutes
Explanation:
Michael’s favorite song is 3.19 minutes long.
If he listens to the song 15 times, 15 x 3.19 = 47.85 minutes
Question 13.
Test Prep A car travels 56.7 miles in an hour. If it continues at the same speed, how far will the car travel in 12 hours?
Options:
a. 68.004 miles
b. 680.04 miles
c. 680.4 miles
d. 6,804 miles
Answer:
c. 680.4 miles
Explanation:
A car travels 56.7 miles in an hour.
In 12 hours, 12 x 56.7 = 680.4 hours
Share and Show – Page No. 179
Question 1.
Manuel collects $45.18 for a fundraiser. Gerome collects $18.07 more than Manuel. Cindy collects 2 times as much as Gerome. How much money does Cindy collect for the fundraiser?
First, draw a diagram to show the amount Manuel collects.
Then, draw a diagram to show the amount Gerome collects.
Next, draw a diagram to show the amount Cindy collects.
Finally, find the amount each person collects.
Cindy collects ______ for the fundraiser.
Type below:
_________
Answer:
Manuel collects $45.18 for a fundraiser. Gerome collects $18.07 more than Manuel. Cindy collects 2 times as much as Gerome.
Manuel: $45.18
Gerome: $45.18 + $18.07 = $63.25
Cindy: 2 x $63.25 = $126.5
Question 2.
What if Gerome collects $9.23 more than Manuel? If Cindy still collects 2 times as much as Gerome, how much money would Cindy collect?
Type below:
_________
Answer:
Gerome collects $9.23 more than Manuel
Manuel: $45.18
Gerome: $45.18 + $9.23 = $54.41
Cindy: 2 x $54.41 = $108.82
Question 3.
It costs $5.15 to rent a kayak for 1 hour at a local state park. The price per hour stays the same for up to 5 hours of rental. After 5 hours, the cost is decreased to $3.75 per hour. How much would it cost to rent a kayak for 6 hours?
$ ______
Answer:
$29.5
Explanation:
It costs $5.15 to rent a kayak for 1 hour at a local state park. The price per hour stays the same for up to 5 hours of rental. After 5 hours, the cost is decreased to $3.75 per hour.
For first 5 hours, $5.15
Next hour after 5 hours, it decreased to $3.75
For 6 hours, 5 x $5.15 + 1 x $3.75
5 x $5.15 = $25.75
1 x $3.75 = $3.75
$25.75 + $3.75 = $29.5
Go Math 5th Grade Lesson 5 Multiply Decimals Question 4.
Jenn buys a pair of jeans for $24.99. Her friend Karen spends $3.50 more for the same pair of jeans. Vicki paid the same price as Karen for the jeans but bought 2 pairs. How much did Vicki spend?
$ ______
Answer:
$56.98
Explanation:
Jenn buys a pair of jeans for $24.99.
Karen: $24.99 + $3.50 = $28.49
Vicky: 2 x $28.49 = $56.98
On Your Own – Page No. 180
Use the sign for 5–8.
Question 5.
Austin shops at Surfer Joe’s Surf Shop before going to the beach. He buys 2 T-shirts, a pair of board shorts, and a towel. If he gives the cashier $60, how much change will Austin get back?
$ ______
Answer:
$2.86
Explanation:
T-Shirt = $12.75
Board Shorts = $25.99
Sandals = $8.95
Towel = $5.65
Sunglasses = $15.50
Austin shops at Surfer Joe’s Surf Shop before going to the beach. He buys 2 T-shirts, a pair of board shorts, and a towel.
(2 x $12.75) + ($25.99) + $5.65 = $25.5 + $31.64 = $57.14
$60 – $57.14 = $2.86
Question 6.
Maria buys 3 T-shirts and 2 pairs of sandals at Surfer Joe’s Surf Shop. How much does Maria spend?
$ ______
Answer:
$56.15
Explanation:
Maria buys 3 T-shirts and 2 pairs of sandals at Surfer Joe’s Surf Shop.
3 x $12.75 = $38.25
2 x $8.95 = $17.9
$38.25 + $17.9 = $56.15
Question 7.
Nathan receives a coupon in the mail for $10 off of a purchase of $100 or more. If he buys 3 pairs of board shorts, 2 towels, and a pair of sunglasses, will he spend enough to use the coupon? How much will his purchase cost?
Type below:
_________
Answer:
$94.77
Explanation:
3 pairs of board shorts, 2 towels, and a pair of sunglasses
3 x $25.99 = $77.97
2 x $5.65 = $11.3
Sunglasses = $15.50
$77.97 + $11.3 + $15.50 = $104.77
$10 off of a purchase of $100 or more
$104.77 – $10 = $94.77
Go Math Grade 4 Chapter 4 Mid Chapter Checkpoint Answer Key Question 8.
Moya spends $33.90 on 3 different items. If she did not buy board shorts, which three items did Moya buy?
Type below:
_________
Answer:
T-Shirt, Towel, and Sunglasses
Explanation:
Moya spends $33.90 on 3 different items. If she did not buy board shorts,
T-Shirt = $12.75
Towel = $5.65
Sunglasses = $15.50
Question 9.
Test Prep At a donut shop in town, each donut costs $0.79. If Mr. Thomas buys a box of 8 donuts, how much will he pay for the donuts?
Options:
a. $6.32
b. $8.79
c. $63.20
d. $87.90
Answer:
a. $6.32
Explanation:
At a donut shop in town, each donut costs $0.79. If Mr. Thomas buys a box of 8 donuts, 8 x $0.79 = $6.32
Mid-Chapter Checkpoint – Page No. 181
Concepts and Skills
Question 1.
Explain how you can use a quick picture to find 3 × 2.7.
Type below:
________
Answer:
3 × 2.7 = 8.1;
As there are 8 ones and 1 tenth, we can draw eight square boxes and 1 line to represent 1 tenth.
Complete the pattern.
Question 2.
1 × 3.6 = _______
10 × 3.6 = _______
100 × 3.6 = _______
1000 × 3.6 = _______
Answer:
1 × 3.6 = 3.6
10 × 3.6 = 36
100 × 3.6 = 360
1000 × 3.6 = 3,600
Question 3.
100 × 17.55 = _______
101 × 17.55 = _______
102 × 17.55 = _______
103 × 17.55 = _______
Answer:
100 × 17.55 = 17.55
101 × 17.55 = 175.5
102 × 17.55 = 1755
103 × 17.55 = 17,550
Explanation:
100 × 17.55 = 1 x 17.55 = 17.55
101 × 17.55 = 10 x 17.55 = 175.5
102 × 17.55 = 100 x 17.55 = 1755
103 × 17.55 = 1000 x 17.55 = 17,550
Question 4.
1 × 29 = _______
0.1 × 29 = _______
0.01 × 29 = _______
Answer:
1 × 29 = 29
0.1 × 29 = 2.9
0.01 × 29 = 0.29
Find the product.
Question 5.
3.14
×  8
———–
_____
Answer:
25.12
Explanation:
8 x (3.14) = 8 x (3 + 0.14) = (8 x 3) + (8 x 0.14) = 24 + 1.12 = 25.12
Question 6.
17 × 0.67 = _____
Answer:
11.39
Explanation:
0.67 x 100 = 67
67 x 17 = 1139
67 x 0.01 = 0.67
1139 x 0.01 = 11.39
Question 7.
29 × 7.3 = _____
Answer:
211.7
Explanation:
29 × 7.3 = 29 x (7 + 0.3) = (29 x 7) + (29 x 0.3) = 203 + 8.7 = 211.7
Draw a diagram to solve.
Question 8.
Julie spends $5.62 at the store. Micah spends 5 times as much as Julie. Jeremy spends $6.72 more than Micah. How much money does each person spend?
Julie: $ _______
Micah: $ _______
Jeremy: $ _______
Answer:
Julie: $ 5.62
Micah spends 5 times as much as Julie = 5 x $5.62 = $28.1
Jeremy spends $6.72 more than Micah = $28.1 + $6.72 = $34.82
Mid-Chapter Checkpoint – Page No. 182
Question 9.
Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.68 inches. If she needs 1,000 ribbons, what is the length of ribbon Sarah needs?
_____ inches
Answer:
3680 inches
Explanation:
Sarah is cutting ribbons for a pep rally. The length of each ribbon needs to be 3.68 inches.
If she needs 1,000 ribbons, 3.68 x 1,000 = 3680 inches
Question 10.
Adam is carrying books to the classroom for his teacher. Each book weighs 3.85 pounds. If he carries 4 books, how many pounds is Adam carrying?
_____ pounds
Answer:
15.4 pounds
Explanation:
Adam is carrying books to the classroom for his teacher. Each book weighs 3.85 pounds. If he carries 4 books, 4 x 3.85 = 15.4 pounds.
Question 11.
A car travels 54.9 miles in an hour. If the car continues at the same speed for 12 hours, how many miles will it travel?
_____ miles
Answer:
658.8 miles
Explanation:
A car travels 54.9 miles in an hour. If the car continues at the same speed for 12 hours, 12 x 54.9 = 658.8 miles
Question 12.
Charlie saves $21.45 each month for 6 months. In the seventh month, he only saved $10.60. How much money will Charlie have saved after 7 months?
$ __________
Answer:
$139.3
Explanation:
Charlie saves $21.45 each month for 6 months. In the seventh month, he only saved $10.60.
6 x $21.45 + $10.60 = $128.7 + $10.60 = $139.3
Share and Show – Page No. 185
Multiply. Use the decimal model.
Question 1.
0.8 × 0.4 =
Answer:
0.8 × 0.4 = 0.32
Explanation:
The shaded and crossed parts represent the product.
32 hundredths = 0.32
Question 2.
0.1 × 0.7 =
_____
Answer:
0.1 × 0.7 = 0.7
Explanation:
Count the number of overlapped boxes to find the product. 7 tenths = 0.7
Chapter 4 Go Math 5th Grade Lesson 4.6 Answer Key Question 3.
0.4 × 1.6 =
_____
Answer:
0.4 × 1.6 = 0.64
Explanation:
Count the red line crossed boxes to get the product.
4 x 16 = 64
0.1 x 0.1 = 0.01
64 x 0.01 = 0.64
Question 4.
0.3 × 0.4 =
_____
Answer:
0.3 × 0.4 = 0.12
Explanation:
3 x 4 = 12
0.1 x 0.1 = 0.01
12 x 0.01 = 0.12
Question 5.
0.9 × 0.6 =
_____
Answer:
0.9 x 0.6 = 0.54
Explanation:
9 x 6 = 54
0.1 x 0.1 = 0.01
54 x 0.01 = 0.54
Question 6.
0.5 × 1.2 =
_____
Answer:
0.5 × 1.2 = 0.60
Explanation:
Count the red line crossed boxes to get the product.
5 x 12 = 60
0.1 x 0.1 = 0.01
60 x 0.01 = 0.60
Question 7.
0.8 × 0.9 =
_____
Answer:
0.8 × 0.9 = 0.72
Explanation:
8 x 9 = 72
0.1 x 0.1 = 0.01
72 x 0.01 = 0.72
Question 8.
0.5 × 0.3 =
_____
Answer:
0.5 × 0.3 = 0.15
Explanation:
5 x 3 = 15
0.1 x 0.1 = 0.01
15 x 0.01 = 0.15
Question 9.
0.5 × 1.5 =
_____
Answer:
0.5 × 1.5 = 0.75
Explanation:
Count the red line crossed boxes to get the product.
5 x 15 = 75
0.1 x 0.1 = 0.01
75 x 0.01 = 0.75
Go Math Lesson 4.6 Answer Key 5th Grade Question 10.
Explain why when you multiply and find one-tenth of one-tenth, it is equal to one hundredth.
Type below:
_________
Answer:
When you do one-tenth of one-tenth, it is one-tenth over 10 —-> (1/10) /10
So, you can consider it as (1/10) / (10/1). This is only for simplicity.
Now, you have to multiply the denominator of the fraction in the numerator with the numerator of the fraction in the denominator i.e., 10 with 10 and this comes in the denominator only.
and numerator of the fraction in the numerator with the denominator of the fraction in the denominator i.e., 1 with 1.
So, you get, (1*1) / (10*10) = 1/100
This is again the 10th part of one-tenth OR 100th part of 1 = one hundredth
Problem Solving – Page No. 186
Sense or Nonsense?
Question 11.
Randy and Stacy used models to find 0.3 of 0.5. Both Randy’s and Stacy’s models are shown below. Whose model makes sense? Whose model is nonsense? Explain your reasoning below each model. Then record the correct answer.
Randy’s Model
Stacy’s Model
0.3 × 0.5 =
• For the answer that is nonsense, describe the error the student made.
_________ model is correct
Answer:
Randy’s Model is correct. Stacy’s Model makes nonsense.
Because Stacy’s Model is showing 0.10 x 0.8 which is not equal to 0.3 x 0.5
Explanation:
Randy and Stacy used models to find 0.3 of 0.5
0.3 x 0.5 = 0.15
Share and Show – Page No. 188
Place the decimal point in the product.
Question 1.
3.62
× 1.4
———-
5068
Think: A hundredth is being multiplied by a tenth. Use the pattern 0.01 × 0.1.
___
Answer:
5.068
Explanation:
3.62 x 100 = 362 = 362 x 0.01
1.4 x 10 = 14 = 14 x 0.1
362 x 14 = 5068
0.01 x 0.1 = 0.001
5068 x 0.001 = 5.068
Question 2.
6.8
×1.2
———-
816
_____
Answer:
8.16
Explanation:
6.8 x 10 = 68 = 68 x 0.1
1.2 x 10 = 12 = 12 x 0.1
68 x 12 = 816
0.1 x 0.1 = 0.01
816 x 0.01 = 8.16
Find the product.
Question 3.
0.9
× 0.8
———-
_____
Answer:
0.72
Explanation:
0.9 x 10 = 9 = 9 x 0.1
0.8 x 10 = 8 = 8 x 0.1
9 x 8 = 72
0.1 x 0.1 = 0.01
72 x 0.01 = 0.72
Question 4.
84.5
× 5.5
———-
_____
Answer:
464.75
Explanation:
84.5 x 10 = 845 = 845 x 0.1
5.5 x 10 = 55 = 55 x 0.1
845 x 55 = 46475
0.1 x 0.1 = 0.01
46475 x 0.01 = 464.75
Lesson 4.7 Answer Key Chapter 4 Go Math 5th Grade Question 5.
2.39
×2.7
———-
_____
Answer:
6.453
Explanation:
2.39 x 100 = 239 = 239 x 0.01
2.7 x 10 = 27 = 27 x 0.1
239 x 27 = 6453
0.01 x 0.1 = 0.001
6453 x 0.001 = 6.453
On Your Own – Page No. 189
Find the product.
Question 6.
7.9
× 3.4
———-
_____
Answer:
26.86
Explanation:
7.9 x 10 = 79 = 79 x 0.1
3.4 x 10 = 34 = 34 x 0.1
79 x 34 = 2686
0.1 x 0.1 = 0.01
2686 x 0.01 = 26.86
Question 7.
9.2
×5.6
———-
_____
Answer:
51.52
Explanation:
9.2 x 10 = 92 = 92 x 0.1
5.6 x 10 = 56 = 56 x 0.1
92 x 56 = 5152
0.1 x 0.1 = 0.01
5152 x 0.01 = 51.52
Question 8.
3.45
× 9.7
———-
_____
Answer:
33.465
Explanation:
3.45 x 100 = 345 = 345 x 0.01
9.7 x 10 = 97 = 97 x 0.1
345 x 97 = 33465
0.01 x 0.1 = 0.001
33465 x 0.001 = 33.465
Question 9.
45.3
× 0.8
———-
_____
Answer:
36.24
Explanation:
45.3 x 10 = 453 = 453 x 0.1
0.8 x 10 = 8 = 8 x 0.1
453 x 8 = 3624
0.1 x 0.1 = 0.01
3624 x 0.01 = 36.24
Question 10.
6.98
× 2.5
———-
_____
Answer:
17.450
Explanation:
6.98 x 100 = 698 = 698 x 0.01
2.5 x 10 = 25 = 25 x 0.1
698 x 25 = 17,450
0.01 x 0.1 = 0.001
17450 x 0.001 = 17.450
Question 11.
7.02
×3.4
———-
_____
Answer:
23.868
Explanation:
7.02 x 100 = 702 = 702 x 0.01
3.4 x 10 = 34 = 34 x 0.1
702 x 34 = 23868
0.01 x 0.1 = 0.001
23868 x 0.001 = 23.868
Question 12.
14.9
×0.35
———-
_____
Answer:
5.215
Explanation:
14.9 x 10 = 149 = 149 x 0.1
0.35 x 100 = 35 = 35 x 0.01
149 x 35 = 5215
0.1 x 0.01 = 0.001
5215 x 0.001 = 5.215
Question 13.
50.99
× 3.7
———-
_____
Answer:
188.663
Explanation:
50.99 x 100 = 5099 = 5099 x 0.01
3.7 x 10 = 37 = 37 x 0.1
5099 x 37 = 188663
0.01 x 0.1 = 0.001
188663 x 0.001 = 188.663
Question 14.
18.43
× 1.9
———-
_____
Answer:
35.017
Explanation:
18.43 x 100 = 1843 = 1843 x 0.01
1.9 x 10 = 19 = 19 x 0.1
1843 x 19 = 35017
0.01 x 0.1 = 0.001
35017 x 0.001 = 35.017
Practice: Copy and Solve Find the product.
Question 15.
3.4 × 5.2 = _____
Answer:
17.68
Explanation:
3.4 × 5.2
34 x 52 = 1768
0.1 x 0.1 = 0.01
1768 x 0.01 = 17.68
Question 16.
0.9 × 2.46 = _____
Answer:
2.214
Explanation:
9 x 246 = 2214
0.1 x 0.01 = 0.001
2214 x 0.001 = 2.214
Question 17.
9.1 × 5.7 = ____
Answer:
51.87
Explanation:
91 x 57 = 5187
0.1 x 0.1 = 0.01
5187 x 0.01 = 51.87
Question 18.
4.8 × 6.01 = _____
Answer:
28.848
Explanation:
48 x 601 = 28848
0.1 x 0.01 = 0.001
28848 x 0.001 = 28.848
Question 20.
7.6 × 18.7 = _____
Answer:
142.12
Explanation:
76 x 187 = 14212
0.1 x 0.1 = 0.01
14212 x 0.01 = 142.12
Question 21.
0.77 × 14.9 = _____
Answer:
114.73
Explanation:
77 x 149 = 11473
0.01 x 0.1 = 0.01
11473 x 0.01 = 114.73
Question 22.
3.3 × 58.14 = _____
Answer:
191.862
Explanation:
33 x 5814 = 191862
0.1 x 0.01 = 0.001
191862 x 0.001 = 191.862
Problem Solving – Page No. 190
Question 23.
Charlie has an adult Netherlands dwarf rabbit that weighs 1.2 kilograms. Cliff’s adult Angora rabbit weighs 2.9 times as much as Charlie’s rabbit. How much does Cliff’s rabbit weigh?
_____ kilograms
Answer:
3.48 kilograms
Explanation:
Charlie has an adult Netherlands dwarf rabbit that weighs 1.2 kilograms. Cliff’s adult Angora rabbit weighs 2.9 times as much as Charlie’s rabbit.
1.2 x 2.9 = 3.48 kilograms
Question 24.
John has pet rabbits in an enclosure that has an area of 30.72 square feet. The enclosure Taylor is planning to build for his rabbits will be 2.2 times as large as John’s. What will be the area of the enclosure Taylor is planning to build?
_____ square feet
Answer:
67.584 square feet
Explanation:
John has pet rabbits in an enclosure that has an area of 30.72 square feet. The enclosure Taylor is planning to build for his rabbits will be 2.2 times as large as John’s.
30.72 x 2.2 = 67.584 square feet
Question 25.
A zoo is planning a new building for the penguin exhibit. First, they made a model that was 1.3 meters tall. Then, they made a more detailed model that was 1.5 times as tall as the first model. The building will be 2.5 times as tall as the height of the detailed model. What will be the height of the building?
_____ meters
Answer:
4.875 meters
Explanation:
A zoo is planning a new building for the penguin exhibit. First, they made a model that was 1.3 meters tall. Then, they made a more detailed model that was 1.5 times as tall as the first model.
1.3 x 1.5 = 1.95
The building will be 2.5 times as tall as the height of the detailed model.
2.5 x 1.95 = 4.875 meters
Question 26.
Leslie and Paul both solved the multiplication problem 5.5 x 4.6. Leslie says the answer is 25.30. Paul says the answer is 25.3. Whose answer is correct? Explain your reasoning.
Type below:
_________
Answer:
Both answers are correct. Because 25.30 = 25.3. The zeros have no value after the decimal point of a number.
Explanation:
5.5 x 4.6
55 x 46 = 2530
0.1 x 0.1 = 0.01
2530 x 0.01 = 25.30 = 25.3
Question 27.
Test Prep A vine in Mr. Jackson’s garden is 3.6 feet long. When it is measured again, it is 2.1 times as long. How long is the vine?
Options:
a. 5.7 feet
b. 6.6 feet
c. 7.5 feet
d. 7.56 feet
Answer:
a. 5.7 feet
Explanation:
A vine in Mr. Jackson’s garden is 3.6 feet long. When it is measured again, it is 2.1 times as long.
3.6 + 2.1 = 5.7 feet
Share and Show – Page No. 193
Write zeros in the product.
Question 1.
0.05
× 0.7
———-
Answer:
Explanation:
â–¡35
Think: Hundredths are multiplied by tenths. What should be the place value of the product?
_____
Answer:
0.035
Explanation:
5 x 7 = 35
0.01 x 0.1 = 0.001
35 x 0.001 = 0.035
Question 2.
0.2
× 0.3
———-
_____
Answer:
0.06
Explanation:
2 x 3 = 6
0.1 x 0.1 = 0.01
6 x 0.01 = 0.06
Question 3.
0.02
× 0.2
———-
_____
Answer:
0.004
Explanation:
2 x 2 = 4
0.01 x 0.1 = 0.001
4 x 0.001 = 0.004
Find the product.
Question 4.
$0.05
× 0.8
———-
$ _____
Answer:
$0.04
Explanation:
5 x 8 = 40
0.01 x 0.1 = 0.001
40 x 0.001 = 0.040 = 0.04
Question 5.
0.09
× 0.7
———-
_____
Answer:
0.063
Explanation:
9 x 7 = 63
0.01 x 0.1 = 0.001
63 x 0.001 = 0.063
Question 6.
0.2
× 0.1
———-
_____
Answer:
0.02
Explanation:
2 x 1 = 2
0.1 x 0.1 = 0.01
2 x 0.01 = 0.02
On Your Own
Find the product.
Question 7.
0.3
× 0.3
———-
_____
Answer:
0.09
Explanation:
3 x 3 = 9
0.1 x 0.1 = 0.01
9 x 0.01 = 0.09
Question 8.
0.05
× 0.3
———-
_____
Answer:
0.015
Explanation:
5 x 3 = 15
0.01 x 0.1 = 0.001
15 x 0.001 = 0.015
Question 9.
0.02
× 0.4
———-
_____
Answer:
0.008
Explanation:
2 x 4 = 8
0.01 x 0.1 = 0.001
8 x 0.001 = 0.008
Question 10.
$0.40
× 0.1
———-
$ _____
Answer:
$0.04
Explanation:
40 x 1 = 40
0.10 x 0.1 = 0.010
40 x 0.010 = 0.04
Go Math Chapter 4 Test 5th Grade Answer Key Question 11.
0.09
× 0.2
———-
_____
Answer:
0.018
Explanation:
9 x 2 = 18
0.01 x 0.1 = 0.001
18 x 0.001 = 0.018
Question 12.
$ 0.05
× 0.6
———-
_____
Answer:
$0.3
Explanation:
5 x 6 = 30
0.01 x 0.1 = 0.001
30 x 0.001 = 0.30 = 0.3
Question 13.
0.04
× 0.5
———-
_____
Answer:
0.020
Explanation:
4 x 5 = 20
0.01 x 0.1 = 0.001
20 x 0.001 = 0.020
Question 14.
0.06
× 0.8
———-
_____
Answer:
0.048
Explanation:
6 x 8 = 48
0.01 x 0.1 = 0.001
48 x 0.001 = 0.048
Algebra Find the value of n.
Question 15.
0.03 × 0.6 = n
n = _____
Answer:
n = 0.018
Explanation:
0.03 × 0.6 = n
0.018 = n
n = 0.018
Question 16.
n × 0.2 = 0.08
n = _____
Answer:
n = 0.4
Explanation:
n × 0.2 = 0.08
n = 0.08/0.2
n = 0.4
Question 17.
0.09 × n = 0.063
n = _____
Answer:
n = 0.7
Explanation:
0.09 × n = 0.063
n = 0.063/0.09
n = 0.7
Page No. 194
Question 18.
On an average day, a garden snail can travel about 0.05 miles. If a snail travels 0.2 times as far as the average distance in a day, how far can it travel?
a. What are you being asked to find?
Type below:
_________
Answer:
We need to find how far a snail travels on 0.2 times as far as the average distance in a day.
Question 18.
b. What information will you use to solve the problem?
Type below:
_________
Answer:
On an average day, a garden snail can travel about 0.05 miles.
0.2 times as far as the average distance in a day
Question 18.
c. How will you use multiplication and place value to solve the problem?
Type below:
_________
Answer:
0.2 x 0.05
Question 18.
d. Show how you will solve the problem.
Type below:
_________
Answer:
2 x 5 = 10
0.1 x 0.01 = 0.001
10 x 0.001 = 0.010 = 0.01
Question 18.
e. Fill in the bubble for the correct answer choice above.
Options:
a. 0.7 mile
b. 0.25 mile
c. 0.1 mile
d. 0.01 mile
Answer:
d. 0.01 mile
Question 19.
In a science experiment, Tania uses 0.8 ounces of water to create a reaction. She wants the next reaction to be 0.1 times the size of the previous reaction. How much water should she use?
Options:
a. 0.08 ounce
b. 0.09 ounce
c. 0.8 ounce
d. 0.9 ounce
Answer:
a. 0.08 ounce
Explanation:
In a science experiment, Tania uses 0.8 ounces of water to create a reaction. She wants the next reaction to be 0.1 times the size of the previous reaction.
0.8 x 0.1 = 0.08 ounce
Question 20.
Michael multiplies 0.2 by a number. He records the product as 0.008. What number did Michael use?
Options:
a. 0.016
b. 0.04
c. 0.28
d. 0.4
Answer:
b. 0.04
Explanation:
Michael multiplies 0.2 by a number. He records the product as 0.008.
0.2 x n = 0.008
n = 0.008/0.2
n = 0.04
Michael use 0.04
Chapter Review/Test – Page No. 195
Check Concepts
Question 1.
Explain how estimation helps you to place the decimal point when multiplying 3.9 × 5.3.
Type below:
_________
Answer:
3.9 × 5.3
39 x 53 = 2067
0.1 x 0.1 = 0.01
2067 x 0.01 = 20.67
Complete the pattern.
Question 2.
1 × 7.45 = _______
10 × 7.45 = _______
100 × 7.45 = _______
1,000 × 7.45 = _______
Answer:
1 × 7.45 = 7.45
10 × 7.45 = 74.5
100 × 7.45 = 745
1,000 × 7.45 = 7,450
Question 3.
100 × 376.2 = _______
101 × 376.2 = _______
102 × 376.2 = _______
103 × 376.2 = _______
Answer:
100 × 376.2 = 376.2
101 × 376.2 = 3,762
102 × 376.2 = 37,620
103 × 376.2 = 376,200
Explanation:
100 × 376.2 = 1 x 376.2 = 376.2
101 × 376.2 = 10 x 376.2 = 3,762
102 × 376.2 = 100 x 376.2 = 37,620
103 × 376.2 = 1000 x 376.2 = 376,200
Question 4.
1 × 191 = _______
0.1 × 191 = _______
0.01 × 191 = _______
Answer:
1 × 191 = 191
0.1 × 191 = 19.1
0.01 × 191 = 1.91_
Find the product.
Question 5.
5 × 0.89 = _____
Answer:
4.45
Explanation:
5 × 0.89
5 x 9 = 45 hundredths; 4 tenths and 5 hundredths
5 x 8 = 40 tenths; 40 + 4 tenths = 44 tenths; 4 ones and 4 tenths
5 x 0 = 0; 0 + 4 = 4 ones
4.45
Question 6.
9 × 2.35 = _____
Answer:
21.15
Explanation:
9 × 2.35
9 x 5 = 45 hundredths; 4 tenths and 5 hundredths
9 x 3 = 27 tenths; 27 + 4 tenths = 31 tenths; 3 ones and 1 tenth
9 x 2 = 18; 18 + 3 = 21 ones
21.15
Question 7.
23 × 8.6 = _____
Answer:
197.8
Explanation:
23 x 8.6
23 x 6 = 138 tenths; 13 ones and 8 tenths
23 x 8 = 184 ones; 184 + 13 = 197 ones
197.8
Question 8.
7.3 × 0.6 = _____
Answer:
4.38
Explanation:
73 x 6 = 438
0.1 x 0.1 = 0.01
438 x 0.01 = 4.38
Question 9.
0.09 × 0.7 = _____
Answer:
0.063
Explanation:
9 x 7 = 63
0.01 x 0.1 = 0.001
63 x 0.001 = 0.063
Question 10.
0.8 × $0.40 = $ _____
Answer:
$0.32
Explanation:
8 x 4 = 32
0.1 x 0.1 = 0.01
32 x 0.01 = 0.32
Draw a diagram to solve.
Question 11.
In January, Dawn earns $9.25 allowance. She earns 3 times as much in February. If during March, she earns $5.75 more than she did in February, how much allowance does Dawn earn in March?
$ _________
Answer:
$33.5
Explanation:
In January, Dawn earns $9.25 allowance.
February: 3 x $9.25 = $27.75
March: $27.75 + $5.75 = $33.5
Chapter Review/Test – Page No. 196
Fill in the bubble completely to show your answer.
Question 12.
Janet hikes a trail at a local forest each day. The trail is 3.6 miles long, and she has hiked 5 days in the past week. How many miles has Janet hiked in the past week?
Options:
A. 18 miles
B. 15.3 miles
C. 11 miles
D. 8.6 miles
Answer:
A. 18 miles
Explanation:
Janet hikes a trail at a local forest each day. The trail is 3.6 miles long, and she has hiked 5 days in the past week.
3.6 x 5 = 18 miles
Question 13.
To earn money for his vacation, Grayson works at a local shop on weekends. His job is to cut bricks of fudge into 0.25 pound squares. If he cuts 36 equal-sized squares on Saturday, how many pounds of fudge has Grayson cut?
Options:
A. 7.25 pounds
B. 9 pounds
C. 90 pounds
D. 72.5 pounds
Answer:
B. 9 pounds
Explanation:
To earn money for his vacation, Grayson works at a local shop on weekends. His job is to cut bricks of fudge into 0.25 pound squares. If he cuts 36 equal-sized squares on Saturday,
0.25 x 36 = 9 pounds
Question 14.
James is making a scale model of his bedroom. The model is 0.6 feet wide. If the actual room is 17.5 times as wide as the model, what is the width of James’s room?
Options:
A. 18.1 feet
B. 17.11 feet
C. 16.9 feet
D. 10.5 feet
Answer:
D. 10.5 feet
Explanation:
James is making a scale model of his bedroom. The model is 0.6 feet wide. If the actual room is 17.5 times as wide as the model,
0.6 x 17.5 = 10.5 feet
Question 15.
The cost of admission to the matinee showing at a movie theater is $6.75. If 7 friends want to see the matinee showing of their favorite movie, how much will it cost?
Options:
A. $11.25
B. $14.75
C. $42.75
D. $47.25
Answer:
D. $47.25
Explanation:
The cost of admission to the matinee showing at a movie theater is $6.75. If 7 friends want to see the matinee showing of their favorite movie,
7 x $6.75 = $47.25
Chapter Review/Test – Page No. 197
Fill in the bubble completely to show your answer.
Question 16.
On Friday, Gail talked for 38.4 minutes on her cell phone. On Saturday, she uses 5.5 times as many minutes as she did on Friday. How long does Gail talk on her cell phone on Saturday?
Options:
A. 2.112 minutes
B. 21.12 minutes
C. 211.2 minutes
D. 2,112 minutes
Answer:
C. 211.2 minutes
Explanation:
On Friday, Gail talked for 38.4 minutes on her cell phone. On Saturday, she uses 5.5 times as many minutes as she did on Friday.
38.4 x 5.5 = 211.2 minutes
Question 17.
Harry walks to a produce market to buy bananas. If a pound of bananas costs $0.49, how much will Harry pay for 3 pounds of bananas?
Options:
A. $1.47
B. $3.49
C. $5.49
D. $10.47
Answer:
A. $1.47
Explanation:
Harry walks to a produce market to buy bananas. If a pound of bananas costs $0.49,
For 3 pound, 3 x $0.49 = $1.47
Question 18.
At Anne’s Fabric Emporium, a yard of chiffon fabric costs $7.85. Lee plans to purchase 0.8 yard for a craft project. How much money will Lee spend on chiffon fabric?
Options:
A. $0.63
B. $6.28
C. $7.05
D. $8.65
Answer:
B. $6.28
Explanation:
At Anne’s Fabric Emporium, a yard of chiffon fabric costs $7.85. Lee plans to purchase 0.8 yards for a craft project.
0.8 x $7.85 = $6.28
Question 19.
Mitchell has $18.79 in his savings account. Jeremy has 3 times as much as Mitchell. Maritza has $4.57 more than Jeremy. How much money does Maritza have in her savings account?
Options:
A. $13.71
B. $32.50
C. $56.37
D. $60.94
Answer:
D. $60.94
Explanation:
Mitchell: $18.79
Jeremy: 3 x $18.79 = $56.37
Maritza: $56.37 + $4.57 = $60.94
Chapter Review/Test – Page No. 198
Constructed Response
Question 20.
A river otter eats about 0.15 times its weight in food each day. At the Baytown Zoo, the male river otter weighs 5 pounds. About how much food will the otter at the zoo consume each day? Explain how you found your answer.
_____ pounds
Answer:
0.75 pounds
Explanation:
A river otter eats about 0.15 times its weight in food each day. At the Baytown Zoo, the male river otter weighs 5 pounds.
0.15 x 5 = 0.75 pounds
Performance Task
Question 21.
The cost of admission to the Baytown Zoo is shown below. Use the table to answer the questions.
A. A family of 2 adults and 1 child plans to spend the day at the Baytown Zoo. How much does admission for the family cost? Explain how you found your answer.
$ _____
Answer:
$39.75
Explanation:
Senior Citizen = $10.50
Adult = $15.75
Child = $8.25
A family of 2 adults and 1 child plans to spend the day at the Baytown Zoo.
(2 x $15.75) + $8.25
$31.5 + $8.25 = $39.75
Question 21.
B. Describe another way you could solve the problem.
Type below:
________
Answer:
(2 x $15.75) + $8.25
$15.75 + $15.75 + $8.25 = $39.75
Question 21.
C. What if 2 more tickets for admission are purchased? If the two additional tickets cost $16.50, determine what type of tickets the family purchases.
Explain how you can determine the answer without calculating.
Options:
a. Senior tickets
b. Adult tickets
c. Child tickets
Answer:
c. Child tickets
Explanation:
If 2 more tickets for admission are purchased? If the two additional tickets cost $16.50,
$39.75 + $16.50 = $56.25
Two additional children’s tickets are purchased. Since senior citizen tickets cost about $10 each, then 2 tickets would cost about $20, which is too much. Adult tickets cost about $16 each, so 2 adult tickets would cost about $32, which is too much. Children’s tickets cost about $8, and 2 tickets would be about $16 which is correct.
Conclusion:
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