Multiplying Decimals Worksheet with nine problems for students to solve.

Let's solve each of the decimal multiplication problems step by step. The key to multiplying decimals is:

1. Ignore the decimal points and multiply the numbers as if they were whole numbers.
2. Count the total number of decimal places in both factors.
3. Place the decimal point in the product so that it has the same number of decimal places as the total from step 2.

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Problem 1:

0.08 × 0.167

- Multiply: 8 × 167 = 1,336
- Decimal places: 2 (from 0.08) + 3 (from 0.167) = 5
- Place decimal: 0.01336

✔ Answer: 0.01336

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Problem 2:

3.7 × 11.99

- Multiply: 37 × 1199 = ?
- 37 × 1200 = 44,400
- 37 × 1 = 37 → So 37 × 1199 = 44,400 − 37 = 44,363
- Decimal places: 1 (from 3.7) + 2 (from 11.99) = 3
- Place decimal: 44.363

✔ Answer: 44.363

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Problem 3:

0.018 × 31.87

- Multiply: 18 × 3187 = ?
- 10 × 3187 = 31,870
- 8 × 3187 = 25,496
- Total: 31,870 + 25,496 = 57,366
- Decimal places: 3 (from 0.018) + 2 (from 31.87) = 5
- Place decimal: 0.57366

✔ Answer: 0.57366

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Problem 4:

7.7 × 9.9

- Multiply: 77 × 99 = ?
- 77 × 100 = 7,700
- 77 × 1 = 77 → 7,700 − 77 = 7,623
- Decimal places: 1 + 1 = 2
- Place decimal: 76.23

✔ Answer: 76.23

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Problem 5:

0.052 × 0.031

- Multiply: 52 × 31 = 1,612
- Decimal places: 3 + 3 = 6
- Place decimal: 0.001612

✔ Answer: 0.001612

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Problem 6:

0.398 × 9.31

- Multiply: 398 × 931 = ?
- First, 400 × 931 = 372,400
- Subtract 2 × 931 = 1,862 → 372,400 − 1,862 = 370,538
- Decimal places: 3 + 2 = 5
- Place decimal: 3.70538

✔ Answer: 3.70538

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Problem 7:

3.4 × 150.3

- Multiply: 34 × 1503 = ?
- 30 × 1503 = 45,090
- 4 × 1503 = 6,012
- Total: 45,090 + 6,012 = 51,102
- Decimal places: 1 + 1 = 2
- Place decimal: 511.02

✔ Answer: 511.02

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Problem 8:

0.002 × 9.7

- Multiply: 2 × 97 = 194
- Decimal places: 3 + 1 = 4
- Place decimal: 0.0194

✔ Answer: 0.0194

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Problem 9:

13.76 × 16.13

- Multiply: 1376 × 1613
- Let's compute:
- 1376 × 1600 = 1376 × 16 × 100 = (1376 × 10 = 13,760; 1376 × 6 = 8,256 → 13,760 + 8,256 = 22,016) → ×100 = 2,201,600
- 1376 × 13 = 1376 × 10 = 13,760; 1376 × 3 = 4,128 → 13,760 + 4,128 = 17,888
- Total: 2,201,600 + 17,888 = 2,219,488
- Decimal places: 2 + 2 = 4
- Place decimal: 221.9488

✔ Answer: 221.9488

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✔ Final Answers:

| Problem | Answer |
|--------|----------------|
| 1 | 0.01336 |
| 2 | 44.363 |
| 3 | 0.57366 |
| 4 | 76.23 |
| 5 | 0.001612 |
| 6 | 3.70538 |
| 7 | 511.02 |
| 8 | 0.0194 |
| 9 | 221.9488 |

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