Sure! Let’s solve each of the 15 decimal multiplication problems step by step. The goal is to multiply the decimals just like whole numbers, then place the decimal point in the product so that the total number of decimal places in the product equals the sum of the decimal places in the factors.
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Problem 1: 3.75 × 2
- Ignore decimals: 375 × 2 = 750
- 3.75 has 2 decimal places, 2 has 0 → total = 2 decimal places
- Place decimal:
7.50 → can be written as
7.5
✔ Answer: 7.5
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Problem 2: 5.29 × 5
- 529 × 5 = 2645
- 5.29 has 2 decimal places → product needs 2 decimal places
-
26.45
✔ Answer: 26.45
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Problem 3: 6.24 × 7
- 624 × 7 = 4368
- 6.24 has 2 decimal places → product:
43.68
✔ Answer: 43.68
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Problem 4: 8.50 × 3
- 850 × 3 = 2550
- 8.50 has 2 decimal places →
25.50 → or
25.5
✔ Answer: 25.5
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Problem 5: 7.49 × 8
- 749 × 8 = 5992
- 7.49 has 2 decimal places →
59.92
✔ Answer: 59.92
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Problem 6: 8.71 × 4
- 871 × 4 = 3484
- 2 decimal places →
34.84
✔ Answer: 34.84
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Problem 7: 6.25 × 9
- 625 × 9 = 5625
- 2 decimal places →
56.25
✔ Answer: 56.25
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Problem 8: 9.9 × 1.5
- 99 × 15 = 1485
- 9.9 has 1 decimal, 1.5 has 1 → total 2 decimal places →
14.85
✔ Answer: 14.85
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Problem 9: 4.7 × 3.6
- 47 × 36 = 1692
- 1 + 1 = 2 decimal places →
16.92
✔ Answer: 16.92
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Problem 10: 6.5 × 3.8
- 65 × 38 = 2470
- 1 + 1 = 2 decimal places →
24.70 → or
24.7
✔ Answer: 24.7
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Problem 11: 7.5 × 4.4
- 75 × 44 = 3300
- 1 + 1 = 2 decimal places →
33.00 → or
33
✔ Answer: 33
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Problem 12: 7.2 × 3.8
- 72 × 38 = 2736
- 1 + 1 = 2 decimal places →
27.36
✔ Answer: 27.36
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Problem 13: 6.4 × 7.1
- 64 × 71 = 4544
- 1 + 1 = 2 decimal places →
45.44
✔ Answer: 45.44
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Problem 14: 1.8 × 9.4
- 18 × 94 = 1692
- 1 + 1 = 2 decimal places →
16.92
✔ Answer: 16.92
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Problem 15: 5.6 × 2.5
- 56 × 25 = 1400
- 1 + 1 = 2 decimal places →
14.00 → or
14
✔ Answer: 14
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##
✔ Final Answers (for easy copying):
1.
7.5
2.
26.45
3.
43.68
4.
25.5
5.
59.92
6.
34.84
7.
56.25
8.
14.85
9.
16.92
10.
24.7
11.
33
12.
27.36
13.
45.44
14.
16.92
15.
14
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## 💡 Tip for Students:
When multiplying decimals:
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 product so it has that many decimal places from the right.
Let me know if you want a printable version or worksheet with answers!
Parent Tip: Review the logic above to help your child master the concept of multiplication of decimals worksheet 6th grade.