Of course! Let's solve each of these decimal multiplication problems step by step. The key rule when multiplying a decimal by a whole number is:
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Multiply as if both numbers were whole numbers, then place the decimal point in the answer so that it has the same number of decimal places as the original decimal number.
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Problem 1: 16.0 × 8
- Ignore the decimal for now: 160 × 8 = 1280
- 16.0 has
1 decimal place, so the answer must have 1 decimal place.
- Place the decimal:
128.0
✔ Answer: 128.0
*(Note: 128.0 is the same as 128, but we keep the decimal to show accuracy.)*
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Problem 2: 45.3 × 4
- Multiply: 453 × 4 = 1812
- 45.3 has
1 decimal place → Answer:
181.2
✔ Answer: 181.2
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Problem 3: 14.7 × 2
- Multiply: 147 × 2 = 294
- 14.7 has
1 decimal place → Answer:
29.4
✔ Answer: 29.4
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Problem 4: 39.9 × 3
- Multiply: 399 × 3 = 1197
- 39.9 has
1 decimal place → Answer:
119.7
✔ Answer: 119.7
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Problem 5: 75.1 × 9
- Multiply: 751 × 9 = 6759
- 75.1 has
1 decimal place → Answer:
675.9
✔ Answer: 675.9
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Problem 6: 14.9 × 5
- Multiply: 149 × 5 = 745
- 14.9 has
1 decimal place → Answer:
74.5
✔ Answer: 74.5
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Problem 7: 58.0 × 5
- Multiply: 580 × 5 = 2900
- 58.0 has
1 decimal place → Answer:
290.0
✔ Answer: 290.0
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Problem 8: 89.9 × 4
- Multiply: 899 × 4 = 3596
- 89.9 has
1 decimal place → Answer:
359.6
✔ Answer: 359.6
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Problem 9: 23.3 × 1
- Multiply: 233 × 1 = 233
- 23.3 has
1 decimal place → Answer:
23.3
✔ Answer: 23.3
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##
✔ Final Answers:
1.
128.0
2.
181.2
3.
29.4
4.
119.7
5.
675.9
6.
74.5
7.
290.0
8.
359.6
9.
23.3
Let me know if you’d like to see the vertical multiplication setup for any of them!
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing decimals worksheet.
