Math worksheet for practicing multiplication and division of decimals by 10, 100, and 1000, featuring tables to complete with answers to three decimal places.

Problem Overview:

The task involves multiplying and dividing decimal numbers by 10, 100, and 1000. The goal is to complete the tables accurately, keeping in mind the rules for moving the decimal point when multiplying or dividing by powers of 10.

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Step 1: Multiplying by 10, 100, and 1000

When multiplying a number by 10, 100, or 1000, you move the decimal point to the right by the corresponding number of places:
- Multiply by 10: Move the decimal point 1 place to the right.
- Multiply by 100: Move the decimal point 2 places to the right.
- Multiply by 1000: Move the decimal point 3 places to the right.

#### Table 1: Multiplying
| Number | × 10 | × 100 | × 1000 |
|--------|------|-------|--------|
| 5.7 | | | |
| 23.02 | | | |
| 0.92 | | | |
| 0.306 | | | |
| 24.67 | | | |

##### Solutions:
1. 5.7:
- × 10: \( 5.7 \rightarrow 57.0 \)
- × 100: \( 5.7 \rightarrow 570.0 \)
- × 1000: \( 5.7 \rightarrow 5700.0 \)

2. 23.02:
- × 10: \( 23.02 \rightarrow 230.2 \)
- × 100: \( 23.02 \rightarrow 2302.0 \)
- × 1000: \( 23.02 \rightarrow 23020.0 \)

3. 0.92:
- × 10: \( 0.92 \rightarrow 9.2 \)
- × 100: \( 0.92 \rightarrow 92.0 \)
- × 1000: \( 0.92 \rightarrow 920.0 \)

4. 0.306:
- × 10: \( 0.306 \rightarrow 3.06 \)
- × 100: \( 0.306 \rightarrow 30.6 \)
- × 1000: \( 0.306 \rightarrow 306.0 \)

5. 24.67:
- × 10: \( 24.67 \rightarrow 246.7 \)
- × 100: \( 24.67 \rightarrow 2467.0 \)
- × 1000: \( 24.67 \rightarrow 24670.0 \)

#### Filled Table:
| Number | × 10 | × 100 | × 1000 |
|--------|--------|---------|----------|
| 5.7 | 57.0 | 570.0 | 5700.0 |
| 23.02 | 230.2 | 2302.0 | 23020.0 |
| 0.92 | 9.2 | 92.0 | 920.0 |
| 0.306 | 3.06 | 30.6 | 306.0 |
| 24.67 | 246.7 | 2467.0 | 24670.0 |

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Step 2: Dividing by 10, 100, and 1000

When dividing a number by 10, 100, or 1000, you move the decimal point to the left by the corresponding number of places:
- Divide by 10: Move the decimal point 1 place to the left.
- Divide by 100: Move the decimal point 2 places to the left.
- Divide by 1000: Move the decimal point 3 places to the left.

#### Table 2: Dividing
| Number | ÷ 10 | ÷ 100 | ÷ 1000 |
|--------|---------|----------|-----------|
| 43 | | | |
| 219 | | | |
| 703 | | | |
| 64.8 | | | |
| 2560 | | | |

##### Solutions:
1. 43:
- ÷ 10: \( 43 \rightarrow 4.3 \)
- ÷ 100: \( 43 \rightarrow 0.43 \)
- ÷ 1000: \( 43 \rightarrow 0.043 \)

2. 219:
- ÷ 10: \( 219 \rightarrow 21.9 \)
- ÷ 100: \( 219 \rightarrow 2.19 \)
- ÷ 1000: \( 219 \rightarrow 0.219 \)

3. 703:
- ÷ 10: \( 703 \rightarrow 70.3 \)
- ÷ 100: \( 703 \rightarrow 7.03 \)
- ÷ 1000: \( 703 \rightarrow 0.703 \)

4. 64.8:
- ÷ 10: \( 64.8 \rightarrow 6.48 \)
- ÷ 100: \( 64.8 \rightarrow 0.648 \)
- ÷ 1000: \( 64.8 \rightarrow 0.0648 \) (rounded to 3 decimal places: 0.065)

5. 2560:
- ÷ 10: \( 2560 \rightarrow 256.0 \)
- ÷ 100: \( 2560 \rightarrow 25.60 \)
- ÷ 1000: \( 2560 \rightarrow 2.560 \)

#### Filled Table:
| Number | ÷ 10 | ÷ 100 | ÷ 1000 |
|--------|---------|----------|-----------|
| 43 | 4.3 | 0.43 | 0.043 |
| 219 | 21.9 | 2.19 | 0.219 |
| 703 | 70.3 | 7.03 | 0.703 |
| 64.8 | 6.48 | 0.648 | 0.065 |
| 2560 | 256.0 | 25.60 | 2.560 |

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Step 3: Mixed Operations

This table involves both multiplication and division, with answers rounded to 3 decimal places where necessary.

#### Table 3: Mixed Operations
| Number | × 10 | ÷ 10 | ÷ 100 |
|--------|---------|---------|----------|
| 507 | | | |
| 17.6 | | | |
| | | | 0.063 |
| | 2037 | | |
| | | 0.193 | |

##### Solutions:
1. 507:
- × 10: \( 507 \rightarrow 5070.0 \)
- ÷ 10: \( 507 \rightarrow 50.7 \)
- ÷ 100: \( 507 \rightarrow 5.07 \)

2. 17.6:
- × 10: \( 17.6 \rightarrow 176.0 \)
- ÷ 10: \( 17.6 \rightarrow 1.76 \)
- ÷ 100: \( 17.6 \rightarrow 0.176 \)

3. ÷ 100 = 0.063:
- To find the original number, multiply by 100: \( 0.063 \times 100 = 6.3 \)
- × 10: \( 6.3 \rightarrow 63.0 \)
- ÷ 10: \( 6.3 \rightarrow 0.63 \)

4. × 10 = 2037:
- To find the original number, divide by 10: \( 2037 \div 10 = 203.7 \)
- ÷ 10: \( 203.7 \rightarrow 20.37 \)
- ÷ 100: \( 203.7 \rightarrow 2.037 \)

5. ÷ 100 = 0.193:
- To find the original number, multiply by 100: \( 0.193 \times 100 = 19.3 \)
- × 10: \( 19.3 \rightarrow 193.0 \)
- ÷ 10: \( 19.3 \rightarrow 1.93 \)

#### Filled Table:
| Number | × 10 | ÷ 10 | ÷ 100 |
|--------|---------|---------|----------|
| 507 | 5070.0 | 50.7 | 5.07 |
| 17.6 | 176.0 | 1.76 | 0.176 |
| 6.3 | 63.0 | 0.63 | 0.063 |
| 203.7 | 2037.0 | 20.37 | 2.037 |
| 19.3 | 193.0 | 1.93 | 0.193 |

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Final Answer:

\[
\boxed{
\begin{array}{c|c|c|c}
\text{Number} & \times 10 & \times 100 & \times 1000 \\
\hline
5.7 & 57.0 & 570.0 & 5700.0 \\
23.02 & 230.2 & 2302.0 & 23020.0 \\
0.92 & 9.2 & 92.0 & 920.0 \\
0.306 & 3.06 & 30.6 & 306.0 \\
24.67 & 246.7 & 2467.0 & 24670.0 \\
\end{array}
}
\]
\[
\boxed{
\begin{array}{c|c|c|c}
\text{Number} & \div 10 & \div 100 & \div 1000 \\
\hline
43 & 4.3 & 0.43 & 0.043 \\
219 & 21.9 & 2.19 & 0.219 \\
703 & 70.3 & 7.03 & 0.703 \\
64.8 & 6.48 & 0.648 & 0.065 \\
2560 & 256.0 & 25.60 & 2.560 \\
\end{array}
}
\]
\[
\boxed{
\begin{array}{c|c|c|c}
\text{Number} & \times 10 & \div 10 & \div 100 \\
\hline
507 & 5070.0 & 50.7 & 5.07 \\
17.6 & 176.0 & 1.76 & 0.176 \\
6.3 & 63.0 & 0.63 & 0.063 \\
203.7 & 2037.0 & 20.37 & 2.037 \\
19.3 & 193.0 & 1.93 & 0.193 \\
\end{array}
}
\]