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

Let’s solve the worksheet step by step.

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## Part 1: Multiply the Decimals

We’ll solve each multiplication problem using standard decimal multiplication (multiply as if they were whole numbers, then place the decimal point based on total decimal places).

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a. 76.4 × 2.5

- Ignore decimals: 764 × 25 = ?
- 764 × 20 = 15,280
- 764 × 5 = 3,820
- Total = 15,280 + 3,820 = 19,100
- Count decimal places: 76.4 has 1, 2.5 has 1 → total 2 decimal places.
- Place decimal: 191.00 → 191.0

✔ Answer: 191.0

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b. 26.1 × 4.3

- 261 × 43:
- 261 × 40 = 10,440
- 261 × 3 = 783
- Total = 10,440 + 783 = 11,223
- Decimal places: 1 + 1 = 2 → 112.23

✔ Answer: 112.23

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c. 39.6 × 5.3

- 396 × 53:
- 396 × 50 = 19,800
- 396 × 3 = 1,188
- Total = 19,800 + 1,188 = 20,988
- Decimal places: 1 + 1 = 2 → 209.88

✔ Answer: 209.88

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d. 32.7 × 8.5

- 327 × 85:
- 327 × 80 = 26,160
- 327 × 5 = 1,635
- Total = 26,160 + 1,635 = 27,795
- Decimal places: 1 + 1 = 2 → 277.95

✔ Answer: 277.95

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e. 65.8 × 7.2

- 658 × 72:
- 658 × 70 = 46,060
- 658 × 2 = 1,316
- Total = 46,060 + 1,316 = 47,376
- Decimal places: 1 + 1 = 2 → 473.76

✔ Answer: 473.76

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f. 92.0 × 8.3

- 920 × 83:
- 920 × 80 = 73,600
- 920 × 3 = 2,760
- Total = 73,600 + 2,760 = 76,360
- Decimal places: 1 + 1 = 2 → 763.60

✔ Answer: 763.60

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g. 96.2 × 4.8

- 962 × 48:
- 962 × 40 = 38,480
- 962 × 8 = 7,696
- Total = 38,480 + 7,696 = 46,176
- Decimal places: 1 + 1 = 2 → 461.76

✔ Answer: 461.76

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h. 19.8 × 6.7

- 198 × 67:
- 198 × 60 = 11,880
- 198 × 7 = 1,386
- Total = 11,880 + 1,386 = 13,266
- Decimal places: 1 + 1 = 2 → 132.66

✔ Answer: 132.66

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i. 59.3 × 6.5

- 593 × 65:
- 593 × 60 = 35,580
- 593 × 5 = 2,965
- Total = 35,580 + 2,965 = 38,545
- Decimal places: 1 + 1 = 2 → 385.45

✔ Answer: 385.45

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j. 79.7 × 4.6

- 797 × 46:
- 797 × 40 = 31,880
- 797 × 6 = 4,782
- Total = 31,880 + 4,782 = 36,662
- Decimal places: 1 + 1 = 2 → 366.62

✔ Answer: 366.62

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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 compute:

- 21.7 × 10 = 217
- 21.7 × 4 = 86.8
- Total = 217 + 86.8 = 303.8 miles

✔ Answer: 303.8 miles

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## ✔ Final Answers:

Multiplication Problems:

a. 191.0
b. 112.23
c. 209.88
d. 277.95
e. 473.76
f. 763.60
g. 461.76
h. 132.66
i. 385.45
j. 366.62

Word Problem:

Noah can travel 303.8 miles on one tank of gas.

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Let me know if you’d like to see any of the work shown vertically or with grid alignment!