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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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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
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. Estimate 60 ÷ 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. Check 16.5 × 3.6 = 59.4 Interactive Lab: Dividing Decimals Example 1
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 Check 150 × 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 Five Minute Check 6