Decimal division practice worksheet with problems involving division by 0.1, 0.01, and 0.001.

Let's solve each problem in the Decimal Division worksheet step by step.

The goal is to divide whole numbers by 0.1, 0.01, and 0.001, and write the quotient.

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🔍 Key Concept:

When dividing by decimals like 0.1, 0.01, or 0.001, you can think of it as:

- Dividing by 0.1 = multiplying by 10
- Dividing by 0.01 = multiplying by 100
- Dividing by 0.001 = multiplying by 1000

This is because:
- $ \frac{1}{0.1} = 10 $
- $ \frac{1}{0.01} = 100 $
- $ \frac{1}{0.001} = 1000 $

So:
> $ \text{Number} \div 0.1 = \text{Number} \times 10 $
> $ \text{Number} \div 0.01 = \text{Number} \times 100 $
> $ \text{Number} \div 0.001 = \text{Number} \times 1000 $

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Now let’s solve each one.

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1) $ 27 \div 0.1 = ? $

$ 27 \times 10 = 270 $

$ 27 \div 0.01 = 27 \times 100 = 2700 $

$ 27 \div 0.001 = 27 \times 1000 = 27,000 $

✔ Answers:
- 270
- 2700
- 27,000

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2) $ 125 \div 0.1 = ? $

$ 125 \times 10 = 1250 $

$ 125 \div 0.01 = 125 \times 100 = 12,500 $

$ 125 \div 0.001 = 125 \times 1000 = 125,000 $

✔ Answers:
- 1250
- 12,500
- 125,000

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3) $ 478 \div 0.1 = ? $

$ 478 \times 10 = 4780 $

$ 478 \div 0.01 = 478 \times 100 = 47,800 $

$ 478 \div 0.001 = 478 \times 1000 = 478,000 $

✔ Answers:
- 4780
- 47,800
- 478,000

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4) $ 2147 \div 0.1 = ? $

$ 2147 \times 10 = 21,470 $

$ 2147 \div 0.01 = 2147 \times 100 = 214,700 $

$ 2147 \div 0.001 = 2147 \times 1000 = 2,147,000 $

✔ Answers:
- 21,470
- 214,700
- 2,147,000

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5) $ 3254 \div 0.1 = ? $

$ 3254 \times 10 = 32,540 $

$ 3254 \div 0.01 = 3254 \times 100 = 325,400 $

$ 3254 \div 0.001 = 3254 \times 1000 = 3,254,000 $

✔ Answers:
- 32,540
- 325,400
- 3,254,000

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6) $ 364 \div 0.1 = ? $

$ 364 \times 10 = 3,640 $

$ 364 \div 0.01 = 364 \times 100 = 36,400 $

$ 364 \div 0.001 = 364 \times 1000 = 364,000 $

✔ Answers:
- 3,640
- 36,400
- 364,000

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7) $ 3257 \div 0.1 = ? $

$ 3257 \times 10 = 32,570 $

$ 3257 \div 0.01 = 3257 \times 100 = 325,700 $

$ 3257 \div 0.001 = 3257 \times 1000 = 3,257,000 $

✔ Answers:
- 32,570
- 325,700
- 3,257,000

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8) $ 271 \div 0.1 = ? $

$ 271 \times 10 = 2,710 $

$ 271 \div 0.01 = 271 \times 100 = 27,100 $

$ 271 \div 0.001 = 271 \times 1000 = 271,000 $

✔ Answers:
- 2,710
- 27,100
- 271,000

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9) $ 989 \div 0.1 = ? $

$ 989 \times 10 = 9,890 $

$ 989 \div 0.01 = 989 \times 100 = 98,900 $

$ 989 \div 0.001 = 989 \times 1000 = 989,000 $

✔ Answers:
- 9,890
- 98,900
- 989,000

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10) $ 367 \div 0.1 = ? $

$ 367 \times 10 = 3,670 $

$ 367 \div 0.01 = 367 \times 100 = 36,700 $

$ 367 \div 0.001 = 367 \times 1000 = 367,000 $

✔ Answers:
- 3,670
- 36,700
- 367,000

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✔ Final Answer Summary:

| Problem | ÷ 0.1 | ÷ 0.01 | ÷ 0.001 |
|--------|-------|--------|---------|
| 1) 27 | 270 | 2700 | 27,000 |
| 2) 125 | 1250 | 12,500 | 125,000 |
| 3) 478 | 4780 | 47,800 | 478,000 |
| 4) 2147 | 21,470 | 214,700 | 2,147,000 |
| 5) 3254 | 32,540 | 325,400 | 3,254,000 |
| 6) 364 | 3,640 | 36,400 | 364,000 |
| 7) 3257 | 32,570 | 325,700 | 3,257,000 |
| 8) 271 | 2,710 | 27,100 | 271,000 |
| 9) 989 | 9,890 | 98,900 | 989,000 |
| 10) 367 | 3,670 | 36,700 | 367,000 |

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📌 Explanation:

Dividing by a decimal less than 1 increases the value. The number of zeros in the multiplier (10, 100, 1000) corresponds to how many decimal places you move the decimal point to the right in the original number.

For example:
- $ 27 \div 0.1 = 270 $ → Move decimal one place right
- $ 27 \div 0.01 = 2700 $ → Move two places right
- $ 27 \div 0.001 = 27,000 $ → Move three places right

This shortcut works for any whole number divided by 0.1, 0.01, or 0.001.

Let me know if you'd like this printed out or formatted for a worksheet!