Dividing Decimals Worksheets - Math Monks - Free Printable

To solve the problems involving division by 10, 100, and 1000, we need to understand how dividing by these numbers affects the decimal point. Here are the rules:

1. Dividing by 10: Move the decimal point one place to the left.
2. Dividing by 100: Move the decimal point two places to the left.
3. Dividing by 1000: Move the decimal point three places to the left.

Let's solve each problem step by step:

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Problem 1: \( 0.03 \div 100 \)

- Move the decimal point two places to the left.
- \( 0.03 \rightarrow 0.0003 \)
- Answer: \( 0.0003 \)

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Problem 2: \( 2557 \div 10 \)

- Move the decimal point one place to the left.
- \( 2557 \rightarrow 255.7 \)
- Answer: \( 255.7 \)

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Problem 3: \( 0.17 \div 10 \)

- Move the decimal point one place to the left.
- \( 0.17 \rightarrow 0.017 \)
- Answer: \( 0.017 \)

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Problem 4: \( 76.8 \div 100 \)

- Move the decimal point two places to the left.
- \( 76.8 \rightarrow 0.768 \)
- Answer: \( 0.768 \)

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Problem 5: \( 9.5 \div 1000 \)

- Move the decimal point three places to the left.
- \( 9.5 \rightarrow 0.0095 \)
- Answer: \( 0.0095 \)

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Problem 6: \( 0.77 \div 10 \)

- Move the decimal point one place to the left.
- \( 0.77 \rightarrow 0.077 \)
- Answer: \( 0.077 \)

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Problem 7: \( 0.067 \div 10 \)

- Move the decimal point one place to the left.
- \( 0.067 \rightarrow 0.0067 \)
- Answer: \( 0.0067 \)

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Problem 8: \( 0.014 \div 1000 \)

- Move the decimal point three places to the left.
- \( 0.014 \rightarrow 0.000014 \)
- Answer: \( 0.000014 \)

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Problem 9: \( 67.8 \div 10 \)

- Move the decimal point one place to the left.
- \( 67.8 \rightarrow 6.78 \)
- Answer: \( 6.78 \)

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Problem 10: \( 684.14 \div 100 \)

- Move the decimal point two places to the left.
- \( 684.14 \rightarrow 6.8414 \)
- Answer: \( 6.8414 \)

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Problem 11: \( 0.36 \div 10 \)

- Move the decimal point one place to the left.
- \( 0.36 \rightarrow 0.036 \)
- Answer: \( 0.036 \)

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Problem 12: \( 0.01 \div 100 \)

- Move the decimal point two places to the left.
- \( 0.01 \rightarrow 0.0001 \)
- Answer: \( 0.0001 \)

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Problem 13: \( 8.6 \div 1000 \)

- Move the decimal point three places to the left.
- \( 8.6 \rightarrow 0.0086 \)
- Answer: \( 0.0086 \)

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Problem 14: \( 0.011 \div 100 \)

- Move the decimal point two places to the left.
- \( 0.011 \rightarrow 0.00011 \)
- Answer: \( 0.00011 \)

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Problem 15: \( 4.75 \div 10 \)

- Move the decimal point one place to the left.
- \( 4.75 \rightarrow 0.475 \)
- Answer: \( 0.475 \)

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Problem 16: \( 128.32 \div 100 \)

- Move the decimal point two places to the left.
- \( 128.32 \rightarrow 1.2832 \)
- Answer: \( 1.2832 \)

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Problem 17: \( 8.7 \div 1000 \)

- Move the decimal point three places to the left.
- \( 8.7 \rightarrow 0.0087 \)
- Answer: \( 0.0087 \)

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Problem 18: \( 0.029 \div 10 \)

- Move the decimal point one place to the left.
- \( 0.029 \rightarrow 0.0029 \)
- Answer: \( 0.0029 \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
1. & 0.0003 \\
2. & 255.7 \\
3. & 0.017 \\
4. & 0.768 \\
5. & 0.0095 \\
6. & 0.077 \\
7. & 0.0067 \\
8. & 0.000014 \\
9. & 6.78 \\
10. & 6.8414 \\
11. & 0.036 \\
12. & 0.0001 \\
13. & 0.0086 \\
14. & 0.00011 \\
15. & 0.475 \\
16. & 1.2832 \\
17. & 0.0087 \\
18. & 0.0029 \\
\end{array}
}
\]