Worksheet for practicing multiplying and dividing decimals by 10, 100, and 1000.

Let's solve each part of this worksheet step by step.

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Part 1: Multiply the following numbers by 10, 100, and 1000

When you multiply a decimal number by 10, 100, or 1000, you move the decimal point to the right:
- ×10 → move decimal 1 place right
- ×100 → move decimal 2 places right
- ×1000 → move decimal 3 places right

| Number | × 10 | × 100 | × 1000 |
|--------|------|-------|--------|
| 5.7 | 57 | 570 | 5700 |
| 23.02 | 230.2 | 2302 | 23020 |
| 0.92 | 9.2 | 92 | 920 |
| 0.306 | 3.06 | 30.6 | 306 |
| 24.67 | 246.7 | 2467 | 24670 |

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Part 2: Divide the following numbers by 10, 100, and 1000 (to 3 decimal places)

When dividing, move the decimal point to the left:
- ÷10 → move decimal 1 place left
- ÷100 → move decimal 2 places left
- ÷1000 → move decimal 3 places left

| Number | ÷ 10 | ÷ 100 | ÷ 1000 |
|--------|------|-------|--------|
| 43 | 4.300 | 0.430 | 0.043 |
| 219 | 21.900 | 2.190 | 0.219 |
| 703 | 70.300 | 7.030 | 0.703 |
| 64.8 | 6.480 | 0.648 | 0.065 |
| 2560 | 256.000 | 25.600 | 2.560 |

> Note: For 64.8 ÷ 1000 = 0.0648 → rounded to 0.065 (to 3 decimal places)

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Part 3: Complete the table (mixed operations), giving answers to 3 decimal places

We are given some values and need to fill in the blanks using multiplication/division by 10, 100, or 1000.

| Number | × 10 | ÷ 10 | ÷ 100 |
|--------|------|------|-------|
| 507 | 5070 | 50.700 | 5.070 |
| 17.6 | 176 | 1.760 | 0.176 |
| ? | ? | ? | 0.063 |
| ? | 2037 | ? | ? |
| ? | ? | 0.193 | ? |

Let’s work through each row:

#### Row 3: The result of ÷100 is 0.063
So, we reverse the operation:
- To get back the original number:
$ \text{Original} = 0.063 \times 100 = 6.3 $

Now compute:
- ×10 → $ 6.3 \times 10 = 63 $
- ÷10 → $ 6.3 \div 10 = 0.630 $

So:
| 6.3 | 63 | 0.630 | 0.063 |

#### Row 4: ×10 = 2037
So, original number = $ 2037 \div 10 = 203.7 $

Now:
- ÷10 → $ 203.7 \div 10 = 20.370 $
- ÷100 → $ 203.7 \div 100 = 2.037 $

So:
| 203.7 | 2037 | 20.370 | 2.037 |

#### Row 5: ÷10 = 0.193
So, original number = $ 0.193 \times 10 = 1.93 $

Now:
- ×10 → $ 1.93 \times 10 = 19.3 $
- ÷100 → $ 1.93 \div 100 = 0.0193 $ → round to 0.019

So:
| 1.93 | 19.3 | 0.193 | 0.019 |

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Final Completed Table for Part 3:

| Number | × 10 | ÷ 10 | ÷ 100 |
|--------|------|------|-------|
| 507 | 5070 | 50.700 | 5.070 |
| 17.6 | 176 | 1.760 | 0.176 |
| 6.3 | 63 | 0.630 | 0.063 |
| 203.7 | 2037 | 20.370 | 2.037 |
| 1.93 | 19.3 | 0.193 | 0.019 |

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✔ Summary of All Answers

#### Part 1: Multiplication
| Number | × 10 | × 100 | × 1000 |
|--------|------|-------|--------|
| 5.7 | 57 | 570 | 5700 |
| 23.02 | 230.2 | 2302 | 23020 |
| 0.92 | 9.2 | 92 | 920 |
| 0.306 | 3.06 | 30.6 | 306 |
| 24.67 | 246.7 | 2467 | 24670 |

#### Part 2: Division
| Number | ÷ 10 | ÷ 100 | ÷ 1000 |
|--------|------|-------|--------|
| 43 | 4.300 | 0.430 | 0.043 |
| 219 | 21.900 | 2.190 | 0.219 |
| 703 | 70.300 | 7.030 | 0.703 |
| 64.8 | 6.480 | 0.648 | 0.065 |
| 2560 | 256.000 | 25.600 | 2.560 |

#### Part 3: Mixed Operations
| Number | × 10 | ÷ 10 | ÷ 100 |
|--------|------|------|-------|
| 507 | 5070 | 50.700 | 5.070 |
| 17.6 | 176 | 1.760 | 0.176 |
| 6.3 | 63 | 0.630 | 0.063 |
| 203.7 | 2037 | 20.370 | 2.037 |
| 1.93 | 19.3 | 0.193 | 0.019 |

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📝 Explanation Tips:

- Multiplying: Move decimal point right → add zeros if needed.
- Dividing: Move decimal point left → add zeros as placeholders.
- Always check rounding: If asked for 3 decimal places, round accordingly (e.g., 0.0648 → 0.065).

Let me know if you'd like a printable version or explanation for any specific step!