Of course! Let's solve each of the decimal multiplication problems step by step. The key rule for multiplying decimals is:
>
Multiply the numbers as if they were whole numbers. Then, count the total number of decimal places in both factors. Place the decimal point in the product so that it has the same number of decimal places.
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Problem 1: `0.08 × 0.167`
- Ignore decimals: `8 × 167 = 1336`
- Count decimal places:
- `0.08` → 2 decimal places
- `0.167` → 3 decimal places
- Total = 5 decimal places
- Place decimal: `0.01336`
✔ Answer: 0.01336
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Problem 2: `3.7 × 11.99`
- Ignore decimals: `37 × 1199 = 44363`
- Decimal places:
- `3.7` → 1
- `11.99` → 2
- Total = 3
- Place decimal: `44.363`
✔ Answer: 44.363
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Problem 3: `0.018 × 31.87`
- Ignore decimals: `18 × 3187 = 57366`
- Decimal places:
- `0.018` → 3
- `31.87` → 2
- Total = 5
- Place decimal: `0.57366`
✔ Answer: 0.57366
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Problem 4: `7.7 × 9.9`
- Ignore decimals: `77 × 99 = 7623`
- Decimal places:
- `7.7` → 1
- `9.9` → 1
- Total = 2
- Place decimal: `76.23`
✔ Answer: 76.23
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Problem 5: `0.052 × 0.031`
- Ignore decimals: `52 × 31 = 1612`
- Decimal places:
- `0.052` → 3
- `0.031` → 3
- Total = 6
- Place decimal: `0.001612`
✔ Answer: 0.001612
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Problem 6: `0.398 × 9.31`
- Ignore decimals: `398 × 931 = 370538`
- Decimal places:
- `0.398` → 3
- `9.31` → 2
- Total = 5
- Place decimal: `3.70538`
✔ Answer: 3.70538
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Problem 7: `3.4 × 150.3`
- Ignore decimals: `34 × 1503 = 51102`
- Decimal places:
- `3.4` → 1
- `150.3` → 1
- Total = 2
- Place decimal: `511.02`
✔ Answer: 511.02
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Problem 8: `0.002 × 9.7`
- Ignore decimals: `2 × 97 = 194`
- Decimal places:
- `0.002` → 3
- `9.7` → 1
- Total = 4
- Place decimal: `0.0194`
✔ Answer: 0.0194
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Problem 9: `13.76 × 16.13`
- Ignore decimals: `1376 × 1613 = 2219488`
- Decimal places:
- `13.76` → 2
- `16.13` → 2
- Total = 4
- Place decimal: `221.9488`
✔ Answer: 221.9488
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##
✔ Final Answers:
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
Let me know if you’d like to see any of these worked out with long multiplication or visual steps!
Parent Tip: Review the logic above to help your child master the concept of decimal multiplication worksheets.