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Lesson 1: Algebra • Multiplication Patterns with Decimals

Lesson 2: Investigate • Multiply Decimals and Whole Numbers

Lesson 3: Multiplication with Decimals and Whole Numbers

Lesson 4: Multiply Using Expanded Form

Lesson 5: Problem Solving • Multiply Money

Mid-Chapter Checkpoint

Lesson 6: Investigate • Decimal Multiplication

Lesson 7: Multiply Decimals

Lesson 8: Zeros in the Product

Review/Test

### 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
_____

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 = _____

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.

Question 3.
45.6 × 100 = _____
45.6 × 101 = _____
45.6 × 102 = _____
45.6 × 103 = _____

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 = _____

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

Complete the pattern.

Question 5.
1.06 × 1 = _____
1.06 × 10 = _____
1.06 × 100 = _____
1.06 × 1,000 = _____

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 = _____

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 × $0.19 =$ _____

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

Question 8.
580 × 1 = _____
580 × 0.1 = _____
580 × 0.01 = _____

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 = _____

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 = _____

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 = _____

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 =  $325.00/$325 x 100
n = 1 x 100 = 100

Question 12.
0.1 × n = 89.5
n = _____

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

Question 13.
103 × n = 630
n = _____

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:
________

Kirsten needs 1,750 feet of cord to make 1,000 lanyards.
that decimal point moves one Noce M 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 =

_____

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 =
_____

2 × 0.38 = 0.76

Explanation:
The picture shows that 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.

Question 3.
4 × 0.24 =
_____

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 =
_____

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 =
_____

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 =
_____

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 =
_____

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

Question 8.
Describe how you solved Exercise 7 using place value and renaming.
Type below:
________

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

0.72 liters

Explanation:
Each day a bobcat drinks about 3 times as much water as a Canada goose drinks.
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

0.8 liter

Explanation:
River otters drink about 5 times as much water as a bald eagle drinks 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:
________

Explanation:
Cat drinks 0.15 liters of water in a day.
In 5 days, 5 x 0.15 = 0.75

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

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 hundredths.

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
_____

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

Question 3.
19.34
×    5
———-
9670
_____

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
———-
_____

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
———-
_____

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
———-
_____

203.5

Explanation:
40.7 x 10 = 407
407 x 5 = 2035
407 x 0.1 = 40.7
2035 x 0.1 = 203.5

Find the product.

Question 7.
4.93
×   7
———-
_____

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
———-
_____

49.2

Explanation:
6 x 2 = 12 tenths; 1 ones and 2 tenths
6 x 8 = 48; 48 + 1 = 49 ones
49.2

Question 9.
0.49
×   4
———-
_____

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
———-
_____

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
———-
_____

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
———-
_____

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 = _____

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 = _____

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 = _____

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 = _____

6 × 0.79 = 4.74

Explanation:
6 x 0.79 = 4.74

Question 17.
4 × 9.3 = _____

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

Question 18.
7 × 0.81 = _____

7 × 0.81 = 5.67

Explanation:
7 × 0.81 = 5.67

Question 19.
6 × 2.08 = _____

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 = _____

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

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

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.
_________

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:
_________

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

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 =

_____

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

Question 2.
27 × 8.3 =
_____

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 = _____

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 = _____

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 = _____

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

Draw a model to find the product.

Question 6.
71 × 8.3 =
_____

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 =
_____

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 = _____

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 = _____

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

Question 10.
26 × 16.28 = _____

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:
_________

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:
_________

Number of days in a week
Hours per day

Question 11.
c. Write an expression to represent the problem to be solved.
Type below:
_________

2 weeks = 14 days
14 x 23.93 hours

Question 11.
d. Show the steps you used to solve the problem.
Type below:
_________

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:
_________

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

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

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:
_________

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 Question 4. Jenn buys a pair of jeans for$24.99. Her friend Karen spends $3.50 more for the same pair of jeans. Vicki paid the same price as Karen for the jeans but bought 2 pairs. How much did Vicki spend?$ ______

$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

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

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:
________

3 × 2.7 = 8.1;
As there are 8 ones and 1 tenths, 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 = _______

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 = _______

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 = _______

1 × 29 = 29
0.1 × 29 = 2.9
0.01 × 29 = 0.29

Find the product.

Question 5.
3.14
×   8
———–
_____

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 = _____

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 = _____

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

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 books weighs 3.85 pounds. If he carries 4 books, how many pounds is Adam carrying?
_____ pounds

15.4 pounds

Explanation:
Adam is carrying books to the classroom for his teacher. Each books 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

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 saves$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 saves$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 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 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 fraction in denominator i.e., 10 with 10 and this comes in denominator only. and numerator of fraction in the numerator with the denominator of the fraction in 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 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 solve 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: □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
———-
_____

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
———-
_____

0.02

Explanation:
2 x 1 = 2
0.1 x 0.1 = 0.01
2 x 0.01 = 0.02

Find the product.

Question 7.
0.3
× 0.3
———-
_____

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
———-
_____

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
———-
_____

0.008

Explanation:
2 x 4 = 8
0.01 x 0.1 = 0.001
8 x 0.001 = 0.008

Question 10.
$0.40 × 0.1 ———-$ _____

$0.04 Explanation: 40 x 1 = 40 0.10 x 0.1 = 0.010 40 x 0.010 = 0.04 Question 11. 0.09 × 0.2 ———- _____ Answer: 0.018 Explanation: 9 x 2 = 18 0.01 x 0.1 = 0.001 18 x 0.001 = 0.018 Question 12.$ 0.05
× 0.6
———-
_____

$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 mile. 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 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 ounce 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 ounce 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

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

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

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

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 talks 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 talks 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

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 yard 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

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

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:
________

(2 x $15.75) +$8.25
$15.75 +$15.75 + $8.25 =$39.75
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.