Five-Minute Check (over Lesson 3–8)

Main Idea

Example 1:Divide by Decimals

Example 2:Zeros in the Quotient and Dividend

Example 3:Zeros in the Quotient and Dividend

Example 4:Round Quotients

• Divide decimals by decimals.

Divide by Decimals

Find 59.4 ÷ 3.6.

Place the decimal point.Divide as with whole numbers.

Annex a zero to continue.

Estimate 60 ÷ 4 = 15

1

–36 4

6

–216

.5

0–180

0

23

18

→

Multiply by 10 to make a whole number.

Multiply by the same number, 10.

0

Divide by Decimals

Check 16.5 × 3.6 = 59.4

Answer: 59.4 divided by 3.6 is 16.5. Compare to the estimate.

Interactive Lab: Dividing Decimals

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 1.35

B. 1.42

C. 13.5

D. 14.2

Find 72.9 ÷ 5.4.

Zeros in the Quotient and Dividend

Find 8.1 ÷ 0.054.

Answer: So, 8.1 ÷ 0.054 = 150.

Place the decimal point.

Write a zero in the ones place of the quotient because 0 ÷ 54 = 0.

1

–54 0

5

–270

0.

0

27

0

→

Check150 × 0.054 = 8.1

Multiply each by 1,000.

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 13.0

B. 13.3

C. 130

D. 133

Find 81.9 ÷ 0.63.

Zeros in the Quotient and Dividend

Find 0.052 ÷ 1.3.

Answer: So, 0.052 ÷ 1.3 = 0.04.

Place the decimal point.

13 does not go into 5, so write a 0 in the tenths place.

→

Check0.04 × 1.3 = 0.052

Multiply each by 10.

0

–0 5

.0

–00

4

2–52

0

0

5

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 0.006

B. 0.06

C. 0.07

D. 6

Find 0.072 ÷ 1.2.

STOCK Leon bought a stock at $42.88 per share. If he spent $786.85, how many shares did he buy? Round to the nearest tenth.

Find $786.85 ÷ $42.88.

Round Quotients

Multiply the divisor and the dividend by 100.

Answer: To the nearest tenth, 786.85 ÷ 42.88 = 18.4. So, Leon was able to buy about 18.4 shares.

Round Quotients

→1

–4288 5

8

–34304

.3

0–12864

5

3580

1501

–2144021460

20

00

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

A. 32.6

B. 32.8

C. 36.2

D. 36.4

STOCK Kyle bought a stock at $23.55 per share. If he spent $771.28, how many shares did he buy? Round to the nearest tenth.

End of the Lesson

Five-Minute Check (over Lesson 3–8)

Image Bank

Math Tools

Modeling Decimals

Dividing Decimals

Modeling Decimals

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 3-8)

Find 12.89 ÷ 10. Round to the nearest tenth if necessary.

A. 0.1289

B. 1.2

C. 1.3

D. 1.389

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 3-8)

Find 82.5 ÷ 3. Round to the nearest tenth if necessary.

A. 24.15

B. 24.75

C. 27.5

D. 28.80

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 3-8)

Find 7.2 ÷ 6. Round to the nearest tenth if necessary.

A. 1.2

B. 1.3

C. 1.44

D. 13.2

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 3-8)

Find 4.36 ÷ 4. Round to the nearest tenth if necessary.

A. 1.18

B. 1.1

C. 1.4

D. 1.5

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 3-8)

If $7.85 is to be divided equally among 5 people, how much does each person get?

A. $1.47

B. $1.50

C. $1.57

D. $1.87

1. A

2. B

3. C

4. D

A B C D

0% 0%0%0%

(over Lesson 3-8)

What is the mean of this set of gymnastic scores? 7.4, 7.1, 3.3, 9.1, 8.2

A. 7.1

B. 7.05

C. 7.02

D. 7.01