Decimal Multiplication Worksheets 5th Grade - Free Printable
Educational worksheet: Decimal Multiplication Worksheets 5th Grade. Download and print for classroom or home learning activities.
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Step-by-step solution for: Decimal Multiplication Worksheets 5th Grade
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Show Answer Key & Explanations
Step-by-step solution for: Decimal Multiplication Worksheets 5th Grade
Let's solve each of these decimal multiplication problems step by step.
We are multiplying decimals by powers of 10 (10, 100, or 1000). When you multiply a decimal by a power of 10, you move the decimal point to the right by the number of zeros in the power of 10:
- ×10 → move decimal point 1 place to the right
- ×100 → move decimal point 2 places to the right
- ×1000 → move decimal point 3 places to the right
---
1. $ 15.43 \times 10 = 154.3 $
→ Move decimal 1 place right: 15.43 → 154.3
2. $ 76.75 \times 1000 = 76750 $
→ Move decimal 3 places right: 76.75 → 76750
3. $ 12.51 \times 100 = 1251 $
→ Move decimal 2 places right: 12.51 → 1251
4. $ 37.83 \times 1000 = 37830 $
→ Move decimal 3 places right: 37.83 → 37830
5. $ 27.23 \times 10 = 272.3 $
→ Move decimal 1 place right: 27.23 → 272.3
---
6. $ 55.62 \times 100 = 5562 $
→ Move decimal 2 places right: 55.62 → 5562
7. $ 44.13 \times 1000 = 44130 $
→ Move decimal 3 places right: 44.13 → 44130
8. $ 82.85 \times 100 = 8285 $
→ Move decimal 2 places right: 82.85 → 8285
9. $ 54.38 \times 10 = 543.8 $
→ Move decimal 1 place right: 54.38 → 543.8
10. $ 62.27 \times 1000 = 62270 $
→ Move decimal 3 places right: 62.27 → 62270
---
11. $ 69.16 \times 100 = 6916 $
→ Move decimal 2 places right: 69.16 → 6916
12. $ 50.86 \times 1000 = 50860 $
→ Move decimal 3 places right: 50.86 → 50860
13. $ 96.93 \times 1000 = 96930 $
→ Move decimal 3 places right: 96.93 → 96930
14. $ 90.52 \times 100 = 9052 $
→ Move decimal 2 places right: 90.52 → 9052
15. $ 67.91 \times 100 = 6791 $
→ Move decimal 2 places right: 67.91 → 6791
---
16. $ 95.11 \times 1000 = 95110 $
→ Move decimal 3 places right: 95.11 → 95110
17. $ 73.24 \times 10 = 732.4 $
→ Move decimal 1 place right: 73.24 → 732.4
18. $ 84.93 \times 100 = 8493 $
→ Move decimal 2 places right: 84.93 → 8493
19. $ 34.65 \times 10 = 346.5 $
→ Move decimal 1 place right: 34.65 → 346.5
20. $ 89.83 \times 10 = 898.3 $
→ Move decimal 1 place right: 89.83 → 898.3
---
| Problem | Answer |
|--------|--------|
| 1. 15.43 × 10 | 154.3 |
| 2. 76.75 × 1000 | 76750 |
| 3. 12.51 × 100 | 1251 |
| 4. 37.83 × 1000 | 37830 |
| 5. 27.23 × 10 | 272.3 |
| 6. 55.62 × 100 | 5562 |
| 7. 44.13 × 1000 | 44130 |
| 8. 82.85 × 100 | 8285 |
| 9. 54.38 × 10 | 543.8 |
| 10. 62.27 × 1000 | 62270 |
| 11. 69.16 × 100 | 6916 |
| 12. 50.86 × 1000 | 50860 |
| 13. 96.93 × 1000 | 96930 |
| 14. 90.52 × 100 | 9052 |
| 15. 67.91 × 100 | 6791 |
| 16. 95.11 × 1000 | 95110 |
| 17. 73.24 × 10 | 732.4 |
| 18. 84.93 × 100 | 8493 |
| 19. 34.65 × 10 | 346.5 |
| 20. 89.83 × 10 | 898.3 |
✔ All answers are correct and follow the rule: multiply by moving the decimal point right by the number of zeros in the multiplier.
Let me know if you'd like this formatted as a printable worksheet!
We are multiplying decimals by powers of 10 (10, 100, or 1000). When you multiply a decimal by a power of 10, you move the decimal point to the right by the number of zeros in the power of 10:
- ×10 → move decimal point 1 place to the right
- ×100 → move decimal point 2 places to the right
- ×1000 → move decimal point 3 places to the right
---
First Row:
1. $ 15.43 \times 10 = 154.3 $
→ Move decimal 1 place right: 15.43 → 154.3
2. $ 76.75 \times 1000 = 76750 $
→ Move decimal 3 places right: 76.75 → 76750
3. $ 12.51 \times 100 = 1251 $
→ Move decimal 2 places right: 12.51 → 1251
4. $ 37.83 \times 1000 = 37830 $
→ Move decimal 3 places right: 37.83 → 37830
5. $ 27.23 \times 10 = 272.3 $
→ Move decimal 1 place right: 27.23 → 272.3
---
Second Row:
6. $ 55.62 \times 100 = 5562 $
→ Move decimal 2 places right: 55.62 → 5562
7. $ 44.13 \times 1000 = 44130 $
→ Move decimal 3 places right: 44.13 → 44130
8. $ 82.85 \times 100 = 8285 $
→ Move decimal 2 places right: 82.85 → 8285
9. $ 54.38 \times 10 = 543.8 $
→ Move decimal 1 place right: 54.38 → 543.8
10. $ 62.27 \times 1000 = 62270 $
→ Move decimal 3 places right: 62.27 → 62270
---
Third Row:
11. $ 69.16 \times 100 = 6916 $
→ Move decimal 2 places right: 69.16 → 6916
12. $ 50.86 \times 1000 = 50860 $
→ Move decimal 3 places right: 50.86 → 50860
13. $ 96.93 \times 1000 = 96930 $
→ Move decimal 3 places right: 96.93 → 96930
14. $ 90.52 \times 100 = 9052 $
→ Move decimal 2 places right: 90.52 → 9052
15. $ 67.91 \times 100 = 6791 $
→ Move decimal 2 places right: 67.91 → 6791
---
Fourth Row:
16. $ 95.11 \times 1000 = 95110 $
→ Move decimal 3 places right: 95.11 → 95110
17. $ 73.24 \times 10 = 732.4 $
→ Move decimal 1 place right: 73.24 → 732.4
18. $ 84.93 \times 100 = 8493 $
→ Move decimal 2 places right: 84.93 → 8493
19. $ 34.65 \times 10 = 346.5 $
→ Move decimal 1 place right: 34.65 → 346.5
20. $ 89.83 \times 10 = 898.3 $
→ Move decimal 1 place right: 89.83 → 898.3
---
Final Answers:
| Problem | Answer |
|--------|--------|
| 1. 15.43 × 10 | 154.3 |
| 2. 76.75 × 1000 | 76750 |
| 3. 12.51 × 100 | 1251 |
| 4. 37.83 × 1000 | 37830 |
| 5. 27.23 × 10 | 272.3 |
| 6. 55.62 × 100 | 5562 |
| 7. 44.13 × 1000 | 44130 |
| 8. 82.85 × 100 | 8285 |
| 9. 54.38 × 10 | 543.8 |
| 10. 62.27 × 1000 | 62270 |
| 11. 69.16 × 100 | 6916 |
| 12. 50.86 × 1000 | 50860 |
| 13. 96.93 × 1000 | 96930 |
| 14. 90.52 × 100 | 9052 |
| 15. 67.91 × 100 | 6791 |
| 16. 95.11 × 1000 | 95110 |
| 17. 73.24 × 10 | 732.4 |
| 18. 84.93 × 100 | 8493 |
| 19. 34.65 × 10 | 346.5 |
| 20. 89.83 × 10 | 898.3 |
✔ All answers are correct and follow the rule: multiply by moving the decimal point right by the number of zeros in the multiplier.
Let me know if you'd like this formatted as a printable worksheet!
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing decimals worksheets.