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Splash Screen. 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. Lesson Menu. Divide decimals by decimals. Main Idea/Vocabulary.

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Splash Screen

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### Splash Screen

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.

### Main Idea/Vocabulary

Multiply by 10 to make a whole number.

23

18

0

Multiply by the same number, 10.

Divide by Decimals

Find 59.4 ÷ 3.6.

Estimate60 ÷ 4 = 15

Place the decimal point.

.5

1

6

0

Divide as with whole numbers.

–36

4

–216

Annex a zero to continue.

0

–180

### Example 1

Divide by Decimals

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

Check16.5 × 3.6 = 59.4 

Interactive Lab: Dividing Decimals

A

B

C

D

Find 72.9 ÷ 5.4.

A.1.35

B.1.42

C.13.5

D.14.2

### Example 1

Multiply each by 1,000.

27

0

Check150 × 0.054 = 8.1

Zeros in the Quotient and Dividend

Find 8.1 ÷ 0.054.

0.

1

5

Place the decimal point.

–54

0

–270

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

0

Answer: So, 8.1 ÷ 0.054 = 150.

### Example 2

A

B

C

D

Find 81.9 ÷ 0.63.

A.13.0

B.13.3

C.130

D.133

### Example 2

0

Multiply each by 10.

5

0

Check0.04 × 1.3 = 0.052

Zeros in the Quotient and Dividend

Find 0.052 ÷ 1.3.

4

0

.0

Place the decimal point.

–0

5

–00

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

2

–52

Answer: So, 0.052 ÷ 1.3 = 0.04.

### Example 3

A

B

C

D

Find 0.072 ÷ 1.2.

A.0.006

B.0.06

C.0.07

D.6

### Example 3

Round Quotients

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.

Multiply the divisor and the dividend by 100.

### Example 4

3580

1501

2146

20

Round Quotients

1

8

.3

5

0

0

–4288

5

–34304

0

–12864

0

–21440

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

### Example 4

A

B

C

D

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.

A.32.6

B.32.8

C.36.2

D.36.4

### Example 4

End of the Lesson

### End of the Lesson

Five-Minute Check (over Lesson 3–8)

Image Bank

Math Tools

Modeling Decimals

Dividing Decimals

Modeling Decimals

### Resources

A

B

C

D

(over Lesson 3-8)

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

• 0.1289

• 1.2

• 1.3

• 1.389

### Five Minute Check 1

A

B

C

D

(over Lesson 3-8)

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

• 24.15

• 24.75

• 27.5

• 28.80

### Five Minute Check 2

A

B

C

D

(over Lesson 3-8)

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

• 1.2

• 1.3

• 1.44

• 13.2

### Five Minute Check 3

A

B

C

D

(over Lesson 3-8)

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

• 1.18

• 1.1

• 1.4

• 1.5

### Five Minute Check 4

A

B

C

D

(over Lesson 3-8)

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

• \$1.47

• \$1.50

• \$1.57

• \$1.87

### Five Minute Check 5

A

B

C

D

(over Lesson 3-8)

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

• 7.1

• 7.05

• 7.02

• 7.01