Multiplying Decimals worksheet with math problems and a car-themed word problem.

Sure! Let’s solve the worksheet step by step.

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## Part 1: Multiply the Decimals

We’ll multiply each pair of decimals. Remember:
- Multiply as if they were whole numbers.
- Count the total number of decimal places in both factors.
- Place the decimal point in the product so that it has that many decimal places.

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a) 76.4 × 2.5

Multiply:
764 × 25 = 19,100
Count decimal places: 76.4 (1) + 2.5 (1) = 2 decimal places
→ 191.00 → 191.0 (or just 191)

✔ Answer: 191.0

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b) 2.61 × 4.3

Multiply:
261 × 43 = 11,223
Decimal places: 2.61 (2) + 4.3 (1) = 3 decimal places
→ 11.223

✔ Answer: 11.223

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c) 39.6 × 5.3

Multiply:
396 × 53 = 20,988
Decimal places: 39.6 (1) + 5.3 (1) = 2 decimal places
→ 209.88

✔ Answer: 209.88

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d) 3.27 × 8.5

Multiply:
327 × 85 = 27,795
Decimal places: 3.27 (2) + 8.5 (1) = 3 decimal places
→ 27.795

✔ Answer: 27.795

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e) 65.8 × 7.2

Multiply:
658 × 72 = 47,376
Decimal places: 65.8 (1) + 7.2 (1) = 2 decimal places
→ 473.76

✔ Answer: 473.76

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f) 9.20 × 8.3

Multiply:
920 × 83 = 76,360
Decimal places: 9.20 (2) + 8.3 (1) = 3 decimal places
→ 76.360 → 76.36 (trailing zero can be dropped)

✔ Answer: 76.36

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g) 96.2 × 4.8

Multiply:
962 × 48 = 46,176
Decimal places: 96.2 (1) + 4.8 (1) = 2 decimal places
→ 461.76

✔ Answer: 461.76

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h) 19.8 × .67 *(Note: This is 0.67)*

Multiply:
198 × 67 = 13,266
Decimal places: 19.8 (1) + 0.67 (2) = 3 decimal places
→ 13.266

✔ Answer: 13.266

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i) 5.93 × 6.5

Multiply:
593 × 65 = 38,545
Decimal places: 5.93 (2) + 6.5 (1) = 3 decimal places
→ 38.545

✔ Answer: 38.545

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j) 79.7 × .46 *(Note: This is 0.46)*

Multiply:
797 × 46 = 36,662
Decimal places: 79.7 (1) + 0.46 (2) = 3 decimal places
→ 36.662

✔ Answer: 36.662

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## Part 2: Word Problem

> Noah bought a new car. It gets 21.7 miles per gallon of gas on the highway. His gas tank can hold 14 gallons of gas. How many miles can Noah travel on the highway on one tank of gas?

This is a multiplication problem:

Miles = Miles per gallon × Gallons

→ 21.7 × 14

Let’s calculate:

21.7 × 14 = ?

Break it down:
- 21.7 × 10 = 217
- 21.7 × 4 = 86.8
- Add them: 217 + 86.8 = 303.8

✔ Answer: 303.8 miles

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## ✔ Final Answers Summary:

a) 191.0
b) 11.223
c) 209.88
d) 27.795
e) 473.76
f) 76.36
g) 461.76
h) 13.266
i) 38.545
j) 36.662

Word Problem: 303.8 miles

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Let me know if you’d like to see the vertical multiplication work shown for any problem!