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Lesson Menu 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

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Main Idea/Vocabulary Divide decimals by decimals.

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Example 1 Divide by Decimals Find 59.4 ÷ 3.6. Place the decimal point. Divide as with whole numbers. Annex a zero to continue. Estimate60 ÷ 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

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Example 1 Divide by Decimals Check16.5 × 3.6 = 59.4 Answer: 59.4 divided by 3.6 is 16.5. Compare to the estimate. Interactive Lab: Dividing Decimals

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1.A 2.B 3.C 4.D Example 1 A.1.35 B.1.42 C.13.5 D.14.2 Find 72.9 ÷ 5.4.

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Example 2 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.

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1.A 2.B 3.C 4.D Example 2 A.13.0 B.13.3 C.130 D.133 Find 81.9 ÷ 0.63.

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Example 3 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

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1.A 2.B 3.C 4.D Example 3 A.0.006 B.0.06 C.0.07 D.6 Find 0.072 ÷ 1.2.

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Example 4 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.

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Example 4 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 –21440 21460 20 00

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1.A 2.B 3.C 4.D Example 4 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.

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End of the Lesson

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Resources Five-Minute Check (over Lesson 3–8) Image Bank Math Tools Modeling Decimals Dividing Decimals Modeling Decimals

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1.A 2.B 3.C 4.D Five Minute Check 1 (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

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1.A 2.B 3.C 4.D Five Minute Check 2 (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

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1.A 2.B 3.C 4.D Five Minute Check 3 (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

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1.A 2.B 3.C 4.D Five Minute Check 4 (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

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1.A 2.B 3.C 4.D Five Minute Check 5 (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

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1.A 2.B 3.C 4.D Five Minute Check 6 (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

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