Multiply decimals by 10, 100, 1000 worksheet - Free Printable

Let's solve the problems step by step using the rule of multiplying decimals by powers of 10.

🔍 Key Rule:

When you multiply a decimal number by:
- 10, move the decimal point 1 place to the right.
- 100, move the decimal point 2 places to the right.
- 1000, move the decimal point 3 places to the right.

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✔ Multiply by 10 (move decimal 1 place right)

| Problem | Solution |
|--------|----------|
| 7.5 × 10 = | 75.0 → 75 |
| 8.3 × 10 = | 83.0 → 83 |
| 54.6 × 10 = | 546.0 → 546 |
| 23.67 × 10 = | 236.7 → 236.7 |
| 71.0 × 10 = | 710.0 → 710 |

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✔ Multiply by 100 (move decimal 2 places right)

| Problem | Solution |
|--------|----------|
| 2.55 × 100 = | 255.00 → 255 |
| 9.303 × 100 = | 930.3 → 930.3 |
| 54.63 × 100 = | 5463.0 → 5463 |
| 29.178 × 100 = | 2917.8 → 2917.8 |
| 1.053 × 100 = | 105.3 → 105.3 |

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✔ Final Answers:

#### Multiply by 10:
- 7.5 × 10 = 75
- 8.3 × 10 = 83
- 54.6 × 10 = 546
- 23.67 × 10 = 236.7
- 71.0 × 10 = 710

#### Multiply by 100:
- 2.55 × 100 = 255
- 9.303 × 100 = 930.3
- 54.63 × 100 = 5463
- 29.178 × 100 = 2917.8
- 1.053 × 100 = 105.3

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📝 Explanation:

Multiplying by powers of 10 is easy because you just shift the decimal point to the right by the number of zeros in the power of 10:
- 10 → 1 zero → move decimal 1 place right
- 100 → 2 zeros → move decimal 2 places right

This works for whole numbers and decimals alike!

✔ You can check with the example given:
> 4.367 × 10 = 43.67 → decimal moved 1 place right
> 4.367 × 100 = 436.7 → moved 2 places right
> 4.367 × 1000 = 4,367 → moved 3 places right

Same idea applies here! 😊