Let's solve each of the decimal multiplication problems step by step. I'll go through each one, showing the process and final answer.
---
1. 3.75 × 2
- Multiply as if they were whole numbers:
$ 375 × 2 = 750 $
- Count decimal places: 3.75 has
2 decimal places
- Place the decimal point:
7.50 →
7.5
✔ Answer: 7.5
---
2. 5.29 × 5
- $ 529 × 5 = 2645 $
- 5.29 has
2 decimal places
- So,
26.45
✔ Answer: 26.45
---
3. 6.24 × 7
- $ 624 × 7 = 4368 $
- 6.24 has
2 decimal places
- So,
43.68
✔ Answer: 43.68
---
4. 8.50 × 3
- $ 850 × 3 = 2550 $
- 8.50 has
2 decimal places
- So,
25.50 →
25.5
✔ Answer: 25.5
---
5. 7.49 × 8
- $ 749 × 8 = 5992 $
- 7.49 has
2 decimal places
- So,
59.92
✔ Answer: 59.92
---
6. 8.71 × 4
- $ 871 × 4 = 3484 $
- 8.71 has
2 decimal places
- So,
34.84
✔ Answer: 34.84
---
7. 6.25 × 9
- $ 625 × 9 = 5625 $
- 6.25 has
2 decimal places
- So,
56.25
✔ Answer: 56.25
---
8. 9.9 × 1.5
- First, multiply as whole numbers:
$ 99 × 15 = 1485 $
- Count decimal places:
9.9 → 1 decimal, 1.5 → 1 decimal → total
2 decimals
- So,
14.85
✔ Answer: 14.85
---
9. 4.7 × 3.6
- $ 47 × 36 = 1692 $
- 4.7 → 1 decimal, 3.6 → 1 decimal → total
2 decimals
- So,
16.92
✔ Answer: 16.92
---
10. 6.5 × 3.8
- $ 65 × 38 = 2470 $
- 6.5 → 1 decimal, 3.8 → 1 decimal → total
2 decimals
- So,
24.70 →
24.7
✔ Answer: 24.7
---
11. 7.5 × 4.4
- $ 75 × 44 = 3300 $
- 7.5 → 1 decimal, 4.4 → 1 decimal → total
2 decimals
- So,
33.00 →
33
✔ Answer: 33
---
12. 7.2 × 3.8
- $ 72 × 38 = 2736 $
- 7.2 → 1 decimal, 3.8 → 1 decimal → total
2 decimals
- So,
27.36
✔ Answer: 27.36
---
13. 6.4 × 7.1
- $ 64 × 71 = 4544 $
- 6.4 → 1 decimal, 7.1 → 1 decimal → total
2 decimals
- So,
45.44
✔ Answer: 45.44
---
14. 1.8 × 9.4
- $ 18 × 94 = 1692 $
- 1.8 → 1 decimal, 9.4 → 1 decimal → total
2 decimals
- So,
16.92
✔ Answer: 16.92
---
15. 5.6 × 2.5
- $ 56 × 25 = 1400 $
- 5.6 → 1 decimal, 2.5 → 1 decimal → total
2 decimals
- So,
14.00 →
14
✔ Answer: 14
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 1. 3.75 × 2 |
7.5 |
| 2. 5.29 × 5 |
26.45 |
| 3. 6.24 × 7 |
43.68 |
| 4. 8.50 × 3 |
25.5 |
| 5. 7.49 × 8 |
59.92 |
| 6. 8.71 × 4 |
34.84 |
| 7. 6.25 × 9 |
56.25 |
| 8. 9.9 × 1.5 |
14.85 |
| 9. 4.7 × 3.6 |
16.92 |
| 10. 6.5 × 3.8 |
24.7 |
| 11. 7.5 × 4.4 |
33 |
| 12. 7.2 × 3.8 |
27.36 |
| 13. 6.4 × 7.1 |
45.44 |
| 14. 1.8 × 9.4 |
16.92 |
| 15. 5.6 × 2.5 |
14 |
---
🔍 Key Tips for Multiplying Decimals:
1. Ignore decimals and multiply as whole numbers.
2. Count the total number of decimal places in both numbers.
3. Place the decimal point in the product so that it has the same number of decimal places.
Let me know if you'd like a printable version or explanation with steps!
Parent Tip: Review the logic above to help your child master the concept of 5th grade decimal worksheets.
