Let's solve each of the decimal multiplication problems on the worksheet step by step.
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Decimal Multiplication Worksheet
We'll go through each problem and compute the product, remembering to:
1. Multiply as if they were whole numbers.
2. Count the total number of decimal places in both numbers.
3. Place the decimal point in the answer so that it has the same number of decimal places.
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1. 4.3 × .8
- Ignore decimals: 43 × 8 = 344
- Total decimal places: 1 (in 4.3) + 1 (in .8) = 2
- So, 344 → 3.44
✔ Answer: 3.44
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2. 3.75 × .63
- Ignore decimals: 375 × 63 = ?
- 375 × 60 = 22,500
- 375 × 3 = 1,125
- Total = 22,500 + 1,125 = 23,625
- Decimal places: 2 (in 3.75) + 2 (in .63) = 4
- So, 23,625 → 2.3625
✔ Answer: 2.3625
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3. .05 × .92
- Ignore decimals: 5 × 92 = 460
- Decimal places: 2 (in .05) + 2 (in .92) = 4
- So, 460 → 0.0460 → 0.046
✔ Answer: 0.046
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4. 20.3 × 1.6
- Ignore decimals: 203 × 16 = ?
- 203 × 10 = 2,030
- 203 × 6 = 1,218
- Total = 2,030 + 1,218 = 3,248
- Decimal places: 1 (in 20.3) + 1 (in 1.6) = 2
- So, 3,248 → 32.48
✔ Answer: 32.48
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5. .25 × .87
- Ignore decimals: 25 × 87 = ?
- 25 × 80 = 2,000
- 25 × 7 = 175
- Total = 2,175
- Decimal places: 2 + 2 = 4
- So, 2,175 → 0.2175
✔ Answer: 0.2175
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6. .63 × .7
- Ignore decimals: 63 × 7 = 441
- Decimal places: 2 + 1 = 3
- So, 441 → 0.441
✔ Answer: 0.441
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7. 13.5 × .50
- Ignore decimals: 135 × 50 = 6,750
- Decimal places: 1 (in 13.5) + 2 (in .50) = 3
- So, 6,750 → 6.750 → 6.75
✔ Answer: 6.75
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8. 8.3 × .46
- Ignore decimals: 83 × 46 = ?
- 83 × 40 = 3,320
- 83 × 6 = 498
- Total = 3,320 + 498 = 3,818
- Decimal places: 1 + 2 = 3
- So, 3,818 → 3.818
✔ Answer: 3.818
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9. 1.96 × .57
- Ignore decimals: 196 × 57 = ?
- 196 × 50 = 9,800
- 196 × 7 = 1,372
- Total = 9,800 + 1,372 = 11,172
- Decimal places: 2 + 2 = 4
- So, 11,172 → 1.1172
✔ Answer: 1.1172
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10. 6.92 × .43
- Ignore decimals: 692 × 43 = ?
- 692 × 40 = 27,680
- 692 × 3 = 2,076
- Total = 27,680 + 2,076 = 29,756
- Decimal places: 2 + 2 = 4
- So, 29,756 → 2.9756
✔ Answer: 2.9756
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11. 2.65 × .75
- Ignore decimals: 265 × 75 = ?
- 265 × 70 = 18,550
- 265 × 5 = 1,325
- Total = 18,550 + 1,325 = 19,875
- Decimal places: 2 + 2 = 4
- So, 19,875 → 1.9875
✔ Answer: 1.9875
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12. .98 × .8
- Ignore decimals: 98 × 8 = 784
- Decimal places: 2 + 1 = 3
- So, 784 → 0.784
✔ Answer: 0.784
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✔ Final Answers:
| Problem | Answer |
|--------|------------|
| 1 | 3.44 |
| 2 | 2.3625 |
| 3 | 0.046 |
| 4 | 32.48 |
| 5 | 0.2175 |
| 6 | 0.441 |
| 7 | 6.75 |
| 8 | 3.818 |
| 9 | 1.1172 |
| 10 | 2.9756 |
| 11 | 1.9875 |
| 12 | 0.784 |
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🔍 Summary Tips:
- Always count decimal places before placing the decimal in the final answer.
- You can check your work using a calculator or by estimating (e.g., 4.3 × 0.8 ≈ 4 × 1 = 4 → close to 3.44).
Let me know if you'd like this formatted for printing or want a version with steps shown! 😊
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing decimals worksheet.