Of course! Let's solve each of the 9 multiplication problems step by step, using the standard algorithm for multiplying a 3-digit number by a 2-digit number.
---
Problem 1: 234 × 12
Break it down:
- First, multiply 234 × 2 = 468
- Then, multiply 234 × 10 = 2340 (shift one place left)
- Add them: 468 + 2340 =
2808
✔ Answer: 2808
---
Problem 2: 432 × 21
Break it down:
- 432 × 1 = 432
- 432 × 20 = 8640
- Add: 432 + 8640 =
9072
✔ Answer: 9072
---
Problem 3: 324 × 11
Break it down:
- 324 × 1 = 324
- 324 × 10 = 3240
- Add: 324 + 3240 =
3564
✔ Answer: 3564
---
Problem 4: 622 × 31
Break it down:
- 622 × 1 = 622
- 622 × 30 = 18660
- Add: 622 + 18660 =
19282
✔ Answer: 19282
---
Problem 5: 135 × 21
Break it down:
- 135 × 1 = 135
- 135 × 20 = 2700
- Add: 135 + 2700 =
2835
✔ Answer: 2835
---
Problem 6: 531 × 22
Break it down:
- 531 × 2 = 1062
- 531 × 20 = 10620
- Add: 1062 + 10620 =
11682
✔ Answer: 11682
---
Problem 7: 721 × 13
Break it down:
- 721 × 3 = 2163
- 721 × 10 = 7210
- Add: 2163 + 7210 =
9373
✔ Answer: 9373
---
Problem 8: 421 × 31
Break it down:
- 421 × 1 = 421
- 421 × 30 = 12630
- Add: 421 + 12630 =
13051
✔ Answer: 13051
---
Problem 9: 231 × 32
Break it down:
- 231 × 2 = 462
- 231 × 30 = 6930
- Add: 462 + 6930 =
7392
✔ Answer: 7392
---
##
✔ Final Answers (in order):
1.
2808
2.
9072
3.
3564
4.
19282
5.
2835
6.
11682
7.
9373
8.
13051
9.
7392
---
## 📝 Explanation Summary:
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. Multiply the 3-digit number by the
tens digit of the 2-digit number — and remember to shift this result one place to the left (i.e., add a zero at the end or think of it as multiplying by 10, 20, 30, etc.).
3.
Add the two partial products together to get the final answer.
This method is called the “standard algorithm” or “long multiplication.”
Let me know if you’d like to see any of these worked out visually with steps written out in grid form!
Parent Tip: Review the logic above to help your child master the concept of 3 x 2 multiplication worksheet.