Multiplying Decimals worksheet with 12 practice problems for students to solve.

Let's solve each of these decimal multiplication problems step by step. The key rule is:

> Multiply the numbers as if they were whole numbers, then count the total number of decimal places in both factors and place the decimal point in the product so that it has the same number of decimal places.

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1. 59.9 × 9.2

- Multiply:
$ 599 × 92 = 54,908 $
- Count decimal places:
59.9 → 1 decimal place
9.2 → 1 decimal place
Total = 2 decimal places
- Place decimal:
$ 549.08 $

✔ Answer: 549.08

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2. 70.4 × 72

- Multiply:
$ 704 × 72 = 50,688 $
- Decimal places:
70.4 → 1 decimal
72 → 0 decimals
Total = 1 decimal place
- Place decimal:
$ 5,068.8 $

✔ Answer: 5,068.8

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3. 2.2 × 3.3

- Multiply:
$ 22 × 33 = 726 $
- Decimal places:
2.2 → 1
3.3 → 1
Total = 2 decimal places
- Place decimal:
$ 7.26 $

✔ Answer: 7.26

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4. 98.5 × 4.2

- Multiply:
$ 985 × 42 = 41,370 $
- Decimal places:
98.5 → 1
4.2 → 1
Total = 2 decimal places
- Place decimal:
$ 413.70 $ → can be written as 413.7

✔ Answer: 413.7

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5. 5.72 × 9.9

- Multiply:
$ 572 × 99 = 56,628 $
- Decimal places:
5.72 → 2
9.9 → 1
Total = 3 decimal places
- Place decimal:
$ 56.628 $

✔ Answer: 56.628

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6. 36.5 × 6.2

- Multiply:
$ 365 × 62 = 22,630 $
- Decimal places:
36.5 → 1
6.2 → 1
Total = 2 decimal places
- Place decimal:
$ 226.30 $ → 226.3

✔ Answer: 226.3

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7. 85.3 × 8.3

- Multiply:
$ 853 × 83 = 70,899 $
- Decimal places:
85.3 → 1
8.3 → 1
Total = 2 decimal places
- Place decimal:
$ 708.99 $

✔ Answer: 708.99

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8. 5.10 × 91

- Multiply:
$ 510 × 91 = 46,410 $
- Decimal places:
5.10 → 2 (even though trailing zero, still counts)
91 → 0
Total = 2 decimal places
- Place decimal:
$ 464.10 $ → 464.10 or 464.1

✔ Answer: 464.10

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9. 2.57 × 2.5

- Multiply:
$ 257 × 25 = 6,425 $
- Decimal places:
2.57 → 2
2.5 → 1
Total = 3 decimal places
- Place decimal:
$ 6.425 $

✔ Answer: 6.425

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10. 4.90 × 20

- Multiply:
$ 490 × 20 = 9,800 $
- Decimal places:
4.90 → 2
20 → 0
Total = 2 decimal places
- Place decimal:
$ 98.00 $ → 98.00 or 98

✔ Answer: 98.00

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11. 1.91 × 5.1

- Multiply:
$ 191 × 51 = 9,741 $
- Decimal places:
1.91 → 2
5.1 → 1
Total = 3 decimal places
- Place decimal:
$ 9.741 $

✔ Answer: 9.741

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12. 3.89 × 72

- Multiply:
$ 389 × 72 = 28,008 $
- Decimal places:
3.89 → 2
72 → 0
Total = 2 decimal places
- Place decimal:
$ 280.08 $

✔ Answer: 280.08

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✔ Final Answers:

| Problem | Answer |
|--------|--------------|
| 1 | 549.08 |
| 2 | 5,068.8 |
| 3 | 7.26 |
| 4 | 413.7 |
| 5 | 56.628 |
| 6 | 226.3 |
| 7 | 708.99 |
| 8 | 464.10 |
| 9 | 6.425 |
| 10 | 98.00 |
| 11 | 9.741 |
| 12 | 280.08 |

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