Multiplying Decimals Worksheets - Free Printable

Let's solve the worksheet step by step.

The task is to multiply decimals by 10, 100, and 1,000. The key rule to remember:

> When multiplying a decimal by:
> - 10, move the decimal point 1 place to the right
> - 100, move the decimal point 2 places to the right
> - 1,000, move the decimal point 3 places to the right

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Solutions:

#### Multiply by 10 (move decimal 1 place right)

1) $ 29.5 \times 10 = 295 $
2) $ 2.63 \times 10 = 26.3 $
3) $ 46.6 \times 10 = 466 $
4) $ 2.53 \times 10 = 25.3 $
5) $ 14.1 \times 10 = 141 $
6) $ 2.26 \times 10 = 22.6 $
7) $ 19.8 \times 10 = 198 $
8) $ 10.4 \times 10 = 104 $

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#### Multiply by 100 (move decimal 2 places right)

9) $ 4.89 \times 100 = 489 $
10) $ 2.43 \times 100 = 243 $
11) $ 4.2 \times 100 = 420 $
12) $ 1.60 \times 100 = 160 $
13) $ 4.83 \times 100 = 483 $
14) $ 7.44 \times 100 = 744 $
15) $ 6.78 \times 100 = 678 $
16) $ 3.99 \times 100 = 399 $

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#### Multiply by 1,000 (move decimal 3 places right)

17) $ 34.9 \times 1,000 = 34,900 $
18) $ 22.2 \times 1,000 = 22,200 $
19) $ 3.18 \times 1,000 = 3,180 $
20) $ 7.5 \times 1,000 = 7,500 $
21) $ 7.99 \times 1,000 = 7,990 $
22) $ 51.7 \times 1,000 = 51,700 $
23) $ 14.8 \times 1,000 = 14,800 $
24) $ 2.24 \times 1,000 = 2,240 $

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✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1) | 295 |
| 2) | 26.3 |
| 3) | 466 |
| 4) | 25.3 |
| 5) | 141 |
| 6) | 22.6 |
| 7) | 198 |
| 8) | 104 |
| 9) | 489 |
|10) | 243 |
|11) | 420 |
|12) | 160 |
|13) | 483 |
|14) | 744 |
|15) | 678 |
|16) | 399 |
|17) | 34,900 |
|18) | 22,200 |
|19) | 3,180 |
|20) | 7,500 |
|21) | 7,990 |
|22) | 51,700 |
|23) | 14,800 |
|24) | 2,240 |

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🔍 Explanation:

- Multiplying by powers of 10 is simple because you're just shifting the decimal point.
- For example:
$ 2.63 \times 10 = 26.3 $ → Move decimal one place right
$ 2.63 \times 100 = 263 $ → Move two places right
$ 2.63 \times 1,000 = 2,630 $ → Move three places right

This method works for any decimal number and helps avoid long multiplication.

Let me know if you'd like this in printable format or with explanations for each problem!