Dividing Decimals Worksheets - Math Monks - Free Printable

Let's solve each problem step by step. The key concept here is dividing decimals by 10, 100, and 1000.

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

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🔢 Problem Solutions:

#### ① $ 0.03 \div 100 = $
- Move decimal 2 places left:
$ 0.03 \rightarrow 0.0003 $
✔ 0.0003

#### ② $ 2557 \div 10 = $
- Move decimal 1 place left:
$ 2557.0 \rightarrow 255.7 $
✔ 255.7

#### ③ $ 0.17 \div 10 = $
- Move decimal 1 place left:
$ 0.17 \rightarrow 0.017 $
✔ 0.017

#### ④ $ 76.8 \div 100 = $
- Move decimal 2 places left:
$ 76.8 \rightarrow 0.768 $
✔ 0.768

#### ⑤ $ 9.5 \div 1000 = $
- Move decimal 3 places left:
$ 9.5 \rightarrow 0.0095 $
✔ 0.0095

#### ⑥ $ 0.77 \div 10 = $
- Move decimal 1 place left:
$ 0.77 \rightarrow 0.077 $
✔ 0.077

#### ⑦ $ 0.067 \div 10 = $
- Move decimal 1 place left:
$ 0.067 \rightarrow 0.0067 $
✔ 0.0067

#### ⑧ $ 0.014 \div 1000 = $
- Move decimal 3 places left:
$ 0.014 \rightarrow 0.000014 $
✔ 0.000014

#### ⑨ $ 67.8 \div 10 = $
- Move decimal 1 place left:
$ 67.8 \rightarrow 6.78 $
✔ 6.78

#### ⑩ $ 684.14 \div 100 = $
- Move decimal 2 places left:
$ 684.14 \rightarrow 6.8414 $
✔ 6.8414

#### ⑪ $ 0.36 \div 10 = $
- Move decimal 1 place left:
$ 0.36 \rightarrow 0.036 $
✔ 0.036

#### ⑫ $ 0.01 \div 100 = $
- Move decimal 2 places left:
$ 0.01 \rightarrow 0.0001 $
✔ 0.0001

#### ⑬ $ 8.6 \div 1000 = $
- Move decimal 3 places left:
$ 8.6 \rightarrow 0.0086 $
✔ 0.0086

#### ⑭ $ 0.011 \div 100 = $
- Move decimal 2 places left:
$ 0.011 \rightarrow 0.00011 $
✔ 0.00011

#### ⑮ $ 4.75 \div 10 = $
- Move decimal 1 place left:
$ 4.75 \rightarrow 0.475 $
✔ 0.475

#### ⑯ $ 128.32 \div 100 = $
- Move decimal 2 places left:
$ 128.32 \rightarrow 1.2832 $
✔ 1.2832

#### ⑰ $ 8.7 \div 1000 = $
- Move decimal 3 places left:
$ 8.7 \rightarrow 0.0087 $
✔ 0.0087

#### ⑱ $ 0.029 \div 10 = $
- Move decimal 1 place left:
$ 0.029 \rightarrow 0.0029 $
✔ 0.0029

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✔ Final Answers:

| # | Problem | Answer |
|---|--------|--------|
| ① | 0.03 ÷ 100 | 0.0003 |
| ② | 2557 ÷ 10 | 255.7 |
| ③ | 0.17 ÷ 10 | 0.017 |
| ④ | 76.8 ÷ 100 | 0.768 |
| ⑤ | 9.5 ÷ 1000 | 0.0095 |
| ⑥ | 0.77 ÷ 10 | 0.077 |
| ⑦ | 0.067 ÷ 10 | 0.0067 |
| ⑧ | 0.014 ÷ 1000 | 0.000014 |
| ⑨ | 67.8 ÷ 10 | 6.78 |
| ⑩ | 684.14 ÷ 100 | 6.8414 |
| ⑪ | 0.36 ÷ 10 | 0.036 |
| ⑫ | 0.01 ÷ 100 | 0.0001 |
| ⑬ | 8.6 ÷ 1000 | 0.0086 |
| ⑭ | 0.011 ÷ 100 | 0.00011 |
| ⑮ | 4.75 ÷ 10 | 0.475 |
| ⑯ | 128.32 ÷ 100 | 1.2832 |
| ⑰ | 8.7 ÷ 1000 | 0.0087 |
| ⑱ | 0.029 ÷ 10 | 0.0029 |

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📝 Explanation Summary:

To divide decimals by 10, 100, or 1000:
- Simply move the decimal point to the left by the number of zeros in the divisor.
- Add zeros as needed if the decimal point moves past existing digits.

This method works because dividing by powers of 10 reduces the value of each digit by a factor of 10 for each place moved.

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