• Multiply Decimals By Decimals.

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• Multiply decimals by decimals.

Multiply Decimals Find 8.3 × 2.9. Estimate 8.3 × 2.9 747 + 166 24.07

8.3 × 2.9 → 8 × 3 or 24 ← one decimal place ← one decimal place ← two decimal places

Answer: The product is 24.07. Compared to the estimate, the product is reasonable.

Find 3.8 × 2.3. Answer - 8.74

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Multiply Decimals Find 0.12 × 5.3. Estimate 0.12 × 5.3 36 + 60 0.636

0.12 × 5.3 → 0 × 5 or 0 ← two decimal places ← one decimal place ← three decimal places

Answer: The product is 0.636. Compared to the estimate, the product is reasonable.

Find 0.31 × 2.9.

Answer - 0.899

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Evaluate an Expression ALGEBRA Evaluate 6.8r if r = 0.92. 6.8r = 6.8 × 0.92 0.92 × 6.8 736 + 552 6.256

Replace r with 0.92.

← two decimal places ← one decimal place ← three decimal places

Answer: 6.256

ALGEBRA Evaluate 2.9w if w = 0.046.

Answer - 0.1334

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Multiply Decimals to Solve a Problem MONEY Carmen earns $4.60 an hour working part-time as a painter’s assistant. She worked a total of 15.75 hours one week. How much money did Carmen earn? Estimate 15.75 × 4.60 94500 + 6300 72.4500

15.75 × 4.60 → 16 × 5 or 80 ← two decimal places ← two decimal places The product has four decimal places. You can drop the two zeros at the end because 72.4500 = 72.45.

Answer: Carmen earned $72.45.

MONEY Susan earns $5.80 an hour working at a local video store. She worked a total of 28.25 hours one week. How much money did she earn?

Answer - $163.85

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End of the Lesson

Homework - Pg 171-172 # 12-33 by 3's, 34-40 evens, 44-48 evens, 58-61 all.

Five-Minute Check (over Lesson 3–6) Image Bank Math Tools

Modeling Decimals Dividing Decimals Modeling Decimals

(over Lesson 3-6)

Find 1.26 × 4. A. 1.34 B. 4.26 C. 5.04 D. 5.14

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(over Lesson 3-6)

Find 8.63 × 7. A. 15.63 B. 56.31 C. 59.30 D. 60.41

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(over Lesson 3-6)

Find 9.2 × 11. A. 101.2 B. 99.2 C. 91.2 D. 20.2

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(over Lesson 3-6)

Find 3 × 8.03. A. 24.06 B. 24.09 C. 11.06 D. 28.39

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(over Lesson 3-6)

Allen bought four decks of playing cards. If each deck cost $1.46, how much did he spend altogether? A. $4.38 B. $4.46 C. $5.84 D. $8.95

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(over Lesson 3-6)

What is the area of the rectangle? A. 2.2 cm2 B. 14.6 cm2 C. 49.6 cm2 D. 86.42 cm2

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