3-digit by 2-digit multiplication worksheet with problems for practice.
Educational worksheet: 3 Digit by 2 Digit Multiplication Worksheets. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit by 2 Digit Multiplication Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit by 2 Digit Multiplication Worksheets
Here's the solution to all 20 multiplication problems on the worksheet, with step-by-step explanations for each.
---
To multiply a 3-digit number by a 2-digit number:
1. Multiply the 3-digit number by the ones digit of the 2-digit number.
2. Write down the result (partial product), aligning it to the right.
3. Multiply the 3-digit number by the tens digit of the 2-digit number.
4. Write this second partial product one place to the left (because it’s actually multiplied by 10).
5. Add the two partial products together to get the final answer.
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## ✔ Solutions:
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1. 825 × 10
- Any number × 10 = add a zero at the end.
- Answer: 8,250
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2. 159 × 36
Breakdown:
- 159 × 6 = 954
- 159 × 30 = 4,770
- Add: 954 + 4,770 = 5,724
✔ Answer: 5,724
---
3. 966 × 54
- 966 × 4 = 3,864
- 966 × 50 = 48,300
- Add: 3,864 + 48,300 = 52,164
✔ Answer: 52,164
---
4. 497 × 35
- 497 × 5 = 2,485
- 497 × 30 = 14,910
- Add: 2,485 + 14,910 = 17,395
✔ Answer: 17,395
---
5. 743 × 45
- 743 × 5 = 3,715
- 743 × 40 = 29,720
- Add: 3,715 + 29,720 = 33,435
✔ Answer: 33,435
---
6. 766 × 10
- Any number × 10 = add a zero.
- Answer: 7,660
---
7. 695 × 66
- 695 × 6 = 4,170
- 695 × 60 = 41,700
- Add: 4,170 + 41,700 = 45,870
✔ Answer: 45,870
---
8. 672 × 64
- 672 × 4 = 2,688
- 672 × 60 = 40,320
- Add: 2,688 + 40,320 = 43,008
✔ Answer: 43,008
---
9. 612 × 62
- 612 × 2 = 1,224
- 612 × 60 = 36,720
- Add: 1,224 + 36,720 = 37,944
✔ Answer: 37,944
---
10. 369 × 21
- 369 × 1 = 369
- 369 × 20 = 7,380
- Add: 369 + 7,380 = 7,749
✔ Answer: 7,749
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11. 738 × 65
- 738 × 5 = 3,690
- 738 × 60 = 44,280
- Add: 3,690 + 44,280 = 47,970
✔ Answer: 47,970
---
12. 370 × 75
- 370 × 5 = 1,850
- 370 × 70 = 25,900
- Add: 1,850 + 25,900 = 27,750
✔ Answer: 27,750
---
13. 819 × 95
- 819 × 5 = 4,095
- 819 × 90 = 73,710
- Add: 4,095 + 73,710 = 77,805
✔ Answer: 77,805
---
14. 768 × 60
- 768 × 6 = 4,608 → then add a zero → 46,080
✔ Answer: 46,080
---
15. 469 × 14
- 469 × 4 = 1,876
- 469 × 10 = 4,690
- Add: 1,876 + 4,690 = 6,566
✔ Answer: 6,566
---
16. 481 × 10
- Add a zero → 4,810
✔ Answer: 4,810
---
17. 315 × 46
- 315 × 6 = 1,890
- 315 × 40 = 12,600
- Add: 1,890 + 12,600 = 14,490
✔ Answer: 14,490
---
18. 159 × 88
- 159 × 8 = 1,272
- 159 × 80 = 12,720
- Add: 1,272 + 12,720 = 13,992
✔ Answer: 13,992
---
19. 721 × 52
- 721 × 2 = 1,442
- 721 × 50 = 36,050
- Add: 1,442 + 36,050 = 37,492
✔ Answer: 37,492
---
20. 697 × 20
- 697 × 2 = 1,394 → add a zero → 13,940
✔ Answer: 13,940
---
## 📋 Final Answers (for easy copying):
| Problem | Answer |
|---------|------------|
| 825 × 10 | 8,250 |
| 159 × 36 | 5,724 |
| 966 × 54 | 52,164 |
| 497 × 35 | 17,395 |
| 743 × 45 | 33,435 |
| 766 × 10 | 7,660 |
| 695 × 66 | 45,870 |
| 672 × 64 | 43,008 |
| 612 × 62 | 37,944 |
| 369 × 21 | 7,749 |
| 738 × 65 | 47,970 |
| 370 × 75 | 27,750 |
| 819 × 95 | 77,805 |
| 768 × 60 | 46,080 |
| 469 × 14 | 6,566 |
| 481 × 10 | 4,810 |
| 315 × 46 | 14,490 |
| 159 × 88 | 13,992 |
| 721 × 52 | 37,492 |
| 697 × 20 | 13,940 |
---
You can now fill in the grids on your worksheet with these answers! Let me know if you’d like to see any problem worked out visually or with the grid method.
---
General Method (Standard Algorithm):
To multiply a 3-digit number by a 2-digit number:
1. Multiply the 3-digit number by the ones digit of the 2-digit number.
2. Write down the result (partial product), aligning it to the right.
3. Multiply the 3-digit number by the tens digit of the 2-digit number.
4. Write this second partial product one place to the left (because it’s actually multiplied by 10).
5. Add the two partial products together to get the final answer.
---
## ✔ Solutions:
---
Row 1
1. 825 × 10
- Any number × 10 = add a zero at the end.
- Answer: 8,250
---
2. 159 × 36
Breakdown:
- 159 × 6 = 954
- 159 × 30 = 4,770
- Add: 954 + 4,770 = 5,724
✔ Answer: 5,724
---
3. 966 × 54
- 966 × 4 = 3,864
- 966 × 50 = 48,300
- Add: 3,864 + 48,300 = 52,164
✔ Answer: 52,164
---
4. 497 × 35
- 497 × 5 = 2,485
- 497 × 30 = 14,910
- Add: 2,485 + 14,910 = 17,395
✔ Answer: 17,395
---
Row 2
5. 743 × 45
- 743 × 5 = 3,715
- 743 × 40 = 29,720
- Add: 3,715 + 29,720 = 33,435
✔ Answer: 33,435
---
6. 766 × 10
- Any number × 10 = add a zero.
- Answer: 7,660
---
7. 695 × 66
- 695 × 6 = 4,170
- 695 × 60 = 41,700
- Add: 4,170 + 41,700 = 45,870
✔ Answer: 45,870
---
8. 672 × 64
- 672 × 4 = 2,688
- 672 × 60 = 40,320
- Add: 2,688 + 40,320 = 43,008
✔ Answer: 43,008
---
Row 3
9. 612 × 62
- 612 × 2 = 1,224
- 612 × 60 = 36,720
- Add: 1,224 + 36,720 = 37,944
✔ Answer: 37,944
---
10. 369 × 21
- 369 × 1 = 369
- 369 × 20 = 7,380
- Add: 369 + 7,380 = 7,749
✔ Answer: 7,749
---
11. 738 × 65
- 738 × 5 = 3,690
- 738 × 60 = 44,280
- Add: 3,690 + 44,280 = 47,970
✔ Answer: 47,970
---
12. 370 × 75
- 370 × 5 = 1,850
- 370 × 70 = 25,900
- Add: 1,850 + 25,900 = 27,750
✔ Answer: 27,750
---
Row 4
13. 819 × 95
- 819 × 5 = 4,095
- 819 × 90 = 73,710
- Add: 4,095 + 73,710 = 77,805
✔ Answer: 77,805
---
14. 768 × 60
- 768 × 6 = 4,608 → then add a zero → 46,080
✔ Answer: 46,080
---
15. 469 × 14
- 469 × 4 = 1,876
- 469 × 10 = 4,690
- Add: 1,876 + 4,690 = 6,566
✔ Answer: 6,566
---
16. 481 × 10
- Add a zero → 4,810
✔ Answer: 4,810
---
Row 5
17. 315 × 46
- 315 × 6 = 1,890
- 315 × 40 = 12,600
- Add: 1,890 + 12,600 = 14,490
✔ Answer: 14,490
---
18. 159 × 88
- 159 × 8 = 1,272
- 159 × 80 = 12,720
- Add: 1,272 + 12,720 = 13,992
✔ Answer: 13,992
---
19. 721 × 52
- 721 × 2 = 1,442
- 721 × 50 = 36,050
- Add: 1,442 + 36,050 = 37,492
✔ Answer: 37,492
---
20. 697 × 20
- 697 × 2 = 1,394 → add a zero → 13,940
✔ Answer: 13,940
---
## 📋 Final Answers (for easy copying):
| Problem | Answer |
|---------|------------|
| 825 × 10 | 8,250 |
| 159 × 36 | 5,724 |
| 966 × 54 | 52,164 |
| 497 × 35 | 17,395 |
| 743 × 45 | 33,435 |
| 766 × 10 | 7,660 |
| 695 × 66 | 45,870 |
| 672 × 64 | 43,008 |
| 612 × 62 | 37,944 |
| 369 × 21 | 7,749 |
| 738 × 65 | 47,970 |
| 370 × 75 | 27,750 |
| 819 × 95 | 77,805 |
| 768 × 60 | 46,080 |
| 469 × 14 | 6,566 |
| 481 × 10 | 4,810 |
| 315 × 46 | 14,490 |
| 159 × 88 | 13,992 |
| 721 × 52 | 37,492 |
| 697 × 20 | 13,940 |
---
You can now fill in the grids on your worksheet with these answers! Let me know if you’d like to see any problem worked out visually or with the grid method.
Parent Tip: Review the logic above to help your child master the concept of 3 digit by 2 digit multiplication worksheets.
