Practice dividing decimals by 10, 100, and 1000 with this educational worksheet.

To solve the problems in the image, we need to understand how dividing decimals by 10, 100, and 1000 affects the placement of the decimal point. Dividing by 10 moves the decimal point one place to the left, dividing by 100 moves it two places to the left, and dividing by 1000 moves it three places to the left. Let's solve each problem step by step.

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Left Column:

1. 43.4 ÷ 10 = .....
- Dividing by 10 moves the decimal point one place to the left.
- \( 43.4 \div 10 = 4.34 \)
- Answer: \( 4.34 \)

2. 637 ÷ ..... = 6.37
- To get from 637 to 6.37, the decimal point is moved two places to the left.
- This means we divided by 100.
- Answer: \( 100 \)

3. 45 ÷ ..... = 0.045
- To get from 45 to 0.045, the decimal point is moved three places to the left.
- This means we divided by 1000.
- Answer: \( 1000 \)

4. 65 ÷ 100 = .....
- Dividing by 100 moves the decimal point two places to the left.
- \( 65 \div 100 = 0.65 \)
- Answer: \( 0.65 \)

5. ...... ÷ 100 = 1.72
- To get from an unknown number to 1.72 by dividing by 100, we move the decimal point two places to the right.
- \( 1.72 \times 100 = 172 \)
- Answer: \( 172 \)

6. 725 ÷ ..... = 0.725
- To get from 725 to 0.725, the decimal point is moved three places to the left.
- This means we divided by 1000.
- Answer: \( 1000 \)

7. ...... ÷ 10 = 42.9
- To get from an unknown number to 42.9 by dividing by 10, we move the decimal point one place to the right.
- \( 42.9 \times 10 = 429 \)
- Answer: \( 429 \)

8. 999 ÷ ..... = 99.9
- To get from 999 to 99.9, the decimal point is moved one place to the left.
- This means we divided by 10.
- Answer: \( 10 \)

9. ...... ÷ 100 = 5.25
- To get from an unknown number to 5.25 by dividing by 100, we move the decimal point two places to the right.
- \( 5.25 \times 100 = 525 \)
- Answer: \( 525 \)

10. 822 ÷ ..... = 82.2
- To get from 822 to 82.2, the decimal point is moved one place to the left.
- This means we divided by 10.
- Answer: \( 10 \)

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Right Column:

1. 95 ÷ ..... = 0.095
- To get from 95 to 0.095, the decimal point is moved three places to the left.
- This means we divided by 1000.
- Answer: \( 1000 \)

2. 192 ÷ ..... = 0.192
- To get from 192 to 0.192, the decimal point is moved three places to the left.
- This means we divided by 1000.
- Answer: \( 1000 \)

3. 449 ÷ 1000 = .....
- Dividing by 1000 moves the decimal point three places to the left.
- \( 449 \div 1000 = 0.449 \)
- Answer: \( 0.449 \)

4. 552 ÷ ..... = 5.52
- To get from 552 to 5.52, the decimal point is moved two places to the left.
- This means we divided by 100.
- Answer: \( 100 \)

5. 372 ÷ 100 = .....
- Dividing by 100 moves the decimal point two places to the left.
- \( 372 \div 100 = 3.72 \)
- Answer: \( 3.72 \)

6. 684 ÷ ..... = 68.4
- To get from 684 to 68.4, the decimal point is moved one place to the left.
- This means we divided by 10.
- Answer: \( 10 \)

7. 396 ÷ ..... = 3.96
- To get from 396 to 3.96, the decimal point is moved two places to the left.
- This means we divided by 100.
- Answer: \( 100 \)

8. 445 ÷ ..... = 0.445
- To get from 445 to 0.445, the decimal point is moved three places to the left.
- This means we divided by 1000.
- Answer: \( 1000 \)

9. ...... ÷ 1000 = 0.298
- To get from an unknown number to 0.298 by dividing by 1000, we move the decimal point three places to the right.
- \( 0.298 \times 1000 = 298 \)
- Answer: \( 298 \)

10. 94 ÷ ..... = 0.094
- To get from 94 to 0.094, the decimal point is moved three places to the left.
- This means we divided by 1000.
- Answer: \( 1000 \)

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Final Answers:

\[
\boxed{
\begin{array}{ll}
4.34 & 1000 \\
100 & 1000 \\
1000 & 0.449 \\
0.65 & 100 \\
172 & 3.72 \\
1000 & 10 \\
429 & 100 \\
10 & 298 \\
525 & 1000 \\
10 & 1000 \\
\end{array}
}
\]