Math worksheet designed to teach multiplying decimals by powers of 10, featuring examples and practice problems.

Let's solve the problems step by step using the rule for 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 |
| 9.30 × 100 = | 930.00 → 930 |
| 54.63 × 100 = | 5,463.00 → 5,463 |
| 29.178 × 100 = | 2,917.8 → 2,917.8 |
| 1.05 × 100 = | 105.00 → 105 |

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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
- 9.30 × 100 = 930
- 54.63 × 100 = 5,463
- 29.178 × 100 = 2,917.8
- 1.05 × 100 = 105

✔ These answers follow the pattern shown in the example:
> 4.367 × 10 = 43.67 → decimal moved 1 place right
> 4.367 × 100 = 436.7 → decimal moved 2 places right
> 4.367 × 1000 = 4,367 → decimal moved 3 places right

So, the same logic applies here!