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.
---
##
✔ SOLUTIONS TO ALL 36 PROBLEMS
Here are the correct answers, listed in order as they appear on the worksheet (left to right, top to bottom):
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 =
49,248
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
---
## 📚 EXPLANATION: HOW TO MULTIPLY A THREE-DIGIT NUMBER BY A TWO-DIGIT NUMBER
Let’s take an example from the worksheet:
901 × 87
Step-by-Step Method (Standard Algorithm):
#### Step 1: Multiply the top number by the
ones digit of the bottom number.
> 901 × 7 = ?
```
901
× 7
------
6307 ← 7×1=7, 7×0=0, 7×9=63 → write 6307
```
#### Step 2: Multiply the top number by the
tens digit of the bottom number.
> 901 × 80 = ? (Note: 8 is in the tens place → multiply by 80)
We write this result shifted one place to the left (because it’s ×80, not ×8).
```
901
× 80
------
72080 ← 8×1=8, 8×0=0, 8×9=72 → write 72080 (with a zero at end or shift left)
```
#### Step 3: Add the two partial products.
```
6307
+ 72080
--------
78387
```
✔ Final Answer:
78,387
---
## 💡 TIPS FOR SUCCESS:
- Always
align digits properly when writing partial products.
- Remember to
shift left when multiplying by the tens digit (add a zero or leave space).
- Double-check your addition of partial products — this is where most errors occur.
- For problems ending in 0 (like 426 × 40), you can simplify: multiply 426 × 4 = 1,704, then add a zero →
17,040.
---
## ✍️ BONUS: CHECK YOUR WORK
To verify your answer, use estimation or reverse operations:
Example: 901 × 87 ≈ 900 × 90 = 81,000 → our answer 78,387 is close → reasonable.
Or, divide the product by one factor: 78,387 ÷ 87 = 901 → correct!
---
✔ You now have all 36 answers and a clear method to solve any similar problem.
Let me know if you’d like a printable version, step-by-step breakdowns for specific problems, or practice sheets!
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheet double digit.
