Free printable math worksheet for practicing three-digit by two-digit multiplication.

You’ve uploaded a math worksheet titled “Three-Digit by Two-Digit Multiplication (A)”, which contains 36 multiplication problems. Since you asked to “solve the problem and explain the solution,” I’ll solve all 36 problems and then explain the general method for multiplying a three-digit number by a two-digit number.

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## ✔ Solved Problems:

Here are all 36 answers, grouped as they appear on the worksheet:

Row 1:

1. 990 × 53 = 52,470
2. 661 × 71 = 46,931
3. 901 × 87 = 78,387
4. 295 × 56 = 16,520
5. 517 × 92 = 47,564
6. 741 × 56 = 41,496

Row 2:

7. 284 × 24 = 6,816
8. 483 × 36 = 17,388
9. 131 × 68 = 8,908
10. 495 × 72 = 35,640
11. 912 × 54 = 49,168 *(Correction: 912 × 54 = 49,168? Let’s recalculate: 900×54=48,600; 12×54=648 → 48,600+648=49,248)*
✔ Corrected: 912 × 54 = 49,248
12. 889 × 83 = 73,787

Row 3:

13. 640 × 89 = 56,960
14. 819 × 92 = 75,348
15. 807 × 34 = 27,438
16. 923 × 53 = 48,919
17. 337 × 71 = 23,927
18. 558 × 22 = 12,276

Row 4:

19. 492 × 68 = 33,456
20. 673 × 68 = 45,764
21. 959 × 95 = 91,105
22. 312 × 39 = 12,168
23. 274 × 25 = 6,850
24. 903 × 74 = 66,822

Row 5:

25. 426 × 40 = 17,040
26. 494 × 10 = 4,940
27. 249 × 87 = 21,663
28. 691 × 90 = 62,190
29. 147 × 84 = 12,348
30. 177 × 75 = 13,275

Row 6:

31. 202 × 41 = 8,282
32. 668 × 68 = 45,424
33. 794 × 97 = 77,018
34. 753 × 92 = 69,276
35. 901 × 27 = 24,327
36. 430 × 10 = 4,300

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## 📚 Explanation: How to Multiply a Three-Digit Number by a Two-Digit Number

Let’s use one example from the sheet: 901 × 87

Step-by-Step Method (Standard Algorithm):

```
901
× 87
------
6307 ← 901 × 7 (units digit of 87)
72080 ← 901 × 80 (tens digit of 87 — remember to shift left one place!)
------
78387 ← Add them together
```

Breakdown:

1. Multiply by the units digit (7):
- 7 × 1 = 7 → write down 7
- 7 × 0 = 0 → write down 0
- 7 × 9 = 63 → write down 63 → so we get 6,307

2. Multiply by the tens digit (8), but remember it’s actually 80:
- 8 × 1 = 8 → write down 8 in the tens place (shifted left)
- 8 × 0 = 0 → write down 0
- 8 × 9 = 72 → write down 72 → so we get 72,080

3. Add the two partial products:
```
6,307
+72,080
-------
78,387
```

✔ So, 901 × 87 = 78,387

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## 💡 Tips for Accuracy:

- Always align digits correctly when writing partial products.
- Don’t forget to shift the second row one place to the left (because you’re multiplying by the tens digit).
- Double-check your addition at the end.
- Use estimation to check reasonableness. For example, 900 × 90 = 81,000 — so 78,387 is close and reasonable.

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## ✔ Final Answer Summary (All 36 Problems):

| Problem | Answer |
|-----------------|------------|
| 990 × 53 | 52,470 |
| 661 × 71 | 46,931 |
| 901 × 87 | 78,387 |
| 295 × 56 | 16,520 |
| 517 × 92 | 47,564 |
| 741 × 56 | 41,496 |
| 284 × 24 | 6,816 |
| 483 × 36 | 17,388 |
| 131 × 68 | 8,908 |
| 495 × 72 | 35,640 |
| 912 × 54 | 49,248 |
| 889 × 83 | 73,787 |
| 640 × 89 | 56,960 |
| 819 × 92 | 75,348 |
| 807 × 34 | 27,438 |
| 923 × 53 | 48,919 |
| 337 × 71 | 23,927 |
| 558 × 22 | 12,276 |
| 492 × 68 | 33,456 |
| 673 × 68 | 45,764 |
| 959 × 95 | 91,105 |
| 312 × 39 | 12,168 |
| 274 × 25 | 6,850 |
| 903 × 74 | 66,822 |
| 426 × 40 | 17,040 |
| 494 × 10 | 4,940 |
| 249 × 87 | 21,663 |
| 691 × 90 | 62,190 |
| 147 × 84 | 12,348 |
| 177 × 75 | 13,275 |
| 202 × 41 | 8,282 |
| 668 × 68 | 45,424 |
| 794 × 97 | 77,018 |
| 753 × 92 | 69,276 |
| 901 × 27 | 24,327 |
| 430 × 10 | 4,300 |

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✔ You now have all the correct answers and a clear explanation of how to solve any similar problem!

Let me know if you’d like a printable version or step-by-step work for a specific problem!