Math worksheet for practicing multiplication and division by 10, 100, and 1000.

Let's solve each section of the worksheet step by step and explain the reasoning.

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Section 1: Multiplying and Dividing Examples (Given)

These are just examples to show the pattern:

- $ 26 \times 10 = 260 $ → Move decimal one place right (or add a zero)
- $ 26 \times 100 = 2,600 $ → Move decimal two places right (add two zeros)
- $ 400 \div 10 = 40 $ → Move decimal one place left
- $ 400 \div 100 = 4 $ → Move decimal two places left

This shows:
- Multiplying by 10 → add one zero
- Multiplying by 100 → add two zeros
- Multiplying by 1000 → add three zeros
- Dividing by 10 → remove one zero or move decimal left
- Dividing by 100 → remove two zeros or move decimal two places left

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Section 2: Write the Product in the Box

Multiplying by 10: Add one zero
Multiplying by 100: Add two zeros

| Problem | Answer |
|--------|--------|
| $33 \times 10$ | $330$ |
| $21 \times 10$ | $210$ |
| $42 \times 10$ | $420$ |
| $94 \times 100$ | $9,400$ |
| $36 \times 100$ | $3,600$ |
| $81 \times 100$ | $8,100$ |
| $416 \times 10$ | $4,160$ |
| $204 \times 10$ | $2,040$ |
| $513 \times 10$ | $5,130$ |
| $767 \times 100$ | $76,700$ |
| $821 \times 100$ | $82,100$ |
| $245 \times 100$ | $24,500$ |

✔ All answers are obtained by shifting digits right (adding zeros).

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Section 3: Write the Quotient in the Box

Divide by 10 → move decimal one place left
Divide by 100 → move decimal two places left

| Problem | Answer |
|--------|--------|
| $120 \div 10$ | $12$ |
| $260 \div 10$ | $26$ |
| $470 \div 10$ | $47$ |
| $300 \div 100$ | $3$ |
| $800 \div 100$ | $8$ |
| $400 \div 100$ | $4$ |
| $20 \div 10$ | $2$ |
| $30 \div 10$ | $3$ |
| $70 \div 10$ | $7$ |
| $500 \div 100$ | $5$ |
| $100 \div 100$ | $1$ |
| $900 \div 100$ | $9$ |

✔ These are all simple divisions by removing zeros or moving decimal points.

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Section 4: Write the Number That Has Been Multiplied by 100

We need to find the original number before multiplying by 100. So reverse the operation: divide the result by 100.

So:
$$
\text{Original} = \frac{\text{Result}}{100}
$$

| Problem | Solution |
|--------|---------|
| $ \square \times 100 = 5,900 $ | $ 5,900 \div 100 = 59 $ |
| $ \square \times 100 = 71,400 $ | $ 71,400 \div 100 = 714 $ |
| $ \square \times 100 = 72,100 $ | $ 72,100 \div 100 = 721 $ |
| $ \square \times 100 = 23,400 $ | $ 23,400 \div 100 = 234 $ |
| $ \square \times 100 = 1,100 $ | $ 1,100 \div 100 = 11 $ |
| $ \square \times 100 = 47,000 $ | $ 47,000 \div 100 = 470 $ |
| $ \square \times 100 = 8,400 $ | $ 8,400 \div 100 = 84 $ |
| $ \square \times 100 = 44,100 $ | $ 44,100 \div 100 = 441 $ |

✔ Just divide the result by 100 to get the original number.

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Section 5: Write the Number That Has Been Divided by 100

Now we know that:
$$
\text{Original} \div 100 = \text{Result}
\Rightarrow \text{Original} = \text{Result} \times 100
$$

So multiply the result by 100.

| Problem | Solution |
|--------|---------|
| $ \square \div 100 = 2 $ | $ 2 \times 100 = 200 $ |
| $ \square \div 100 = 8 $ | $ 8 \times 100 = 800 $ |
| $ \square \div 100 = 21 $ | $ 21 \times 100 = 2,100 $ |
| $ \square \div 100 = 18 $ | $ 18 \times 100 = 1,800 $ |
| $ \square \div 100 = 86 $ | $ 86 \times 100 = 8,600 $ |
| $ \square \div 100 = 21 $ | $ 21 \times 100 = 2,100 $ |
| $ \square \div 100 = 10 $ | $ 10 \times 100 = 1,000 $ |
| $ \square \div 100 = 59 $ | $ 59 \times 100 = 5,900 $ |

✔ Multiply the quotient by 100 to get the original number.

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✔ Final Answers Summary:

#### Section 2: Products
```
33 x 10 = 330 21 x 10 = 210 42 x 10 = 420
94 x 100 = 9,400 36 x 100 = 3,600 81 x 100 = 8,100
416 x 10 = 4,160 204 x 10 = 2,040 513 x 10 = 5,130
767 x 100 = 76,700 821 x 100 = 82,100 245 x 100 = 24,500
```

#### Section 3: Quotients
```
120 ÷ 10 = 12 260 ÷ 10 = 26 470 ÷ 10 = 47
300 ÷ 100 = 3 800 ÷ 100 = 8 400 ÷ 100 = 4
20 ÷ 10 = 2 30 ÷ 10 = 3 70 ÷ 10 = 7
500 ÷ 100 = 5 100 ÷ 100 = 1 900 ÷ 100 = 9
```

#### Section 4: Numbers Multiplied by 100
```
59 x 100 = 5,900 714 x 100 = 71,400
721 x 100 = 72,100 234 x 100 = 23,400
11 x 100 = 1,100 470 x 100 = 47,000
84 x 100 = 8,400 441 x 100 = 44,100
```

#### Section 5: Numbers Divided by 100
```
200 ÷ 100 = 2 800 ÷ 100 = 8
2,100 ÷ 100 = 21 1,800 ÷ 100 = 18
8,600 ÷ 100 = 86 2,100 ÷ 100 = 21
1,000 ÷ 100 = 10 5,900 ÷ 100 = 59
```

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🔍 Key Concept Recap:

- Multiplying by 10, 100, 1000: Move the decimal point right by 1, 2, or 3 places respectively.
- Dividing by 10, 100, 1000: Move the decimal point left by 1, 2, or 3 places respectively.
- To reverse multiplication by 100 → divide by 100.
- To reverse division by 100 → multiply by 100.

This is a foundational skill for understanding place value and decimals.

Let me know if you'd like this printed as a completed worksheet!