Let’s solve each multiplication problem step by step.
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1. 234 × 12
Break it down:
- Multiply 234 by 2 → 234 × 2 = 468
- Multiply 234 by 10 → 234 × 10 = 2340
- Add them: 468 + 2340 =
2808
✔ Check:
234 × 12 = (200×12) + (30×12) + (4×12) = 2400 + 360 + 48 = 2808 ✔️
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2. 432 × 21
Break it down:
- 432 × 1 = 432
- 432 × 20 = 8640
- Add: 432 + 8640 =
9072
✔ Check:
432 × 21 = 432 × (20 + 1) = 8640 + 432 = 9072 ✔️
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3. 324 × 11
Quick trick for multiplying by 11:
- Write the number, then add adjacent digits.
- 324 → 3 _ 2 _ 4
- Middle: 3+2=5, 2+4=6 → so 3564? Wait — let’s do it properly:
Actually:
- 324 × 10 = 3240
- 324 × 1 = 324
- Total: 3240 + 324 =
3564
✔ Check:
324 × 11 = 324 × (10 + 1) = 3240 + 324 = 3564 ✔️
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4. 622 × 31
Break it down:
- 622 × 1 = 622
- 622 × 30 = 18660
- Add: 622 + 18660 =
19282
✔ Check:
622 × 31 = 622 × (30 + 1) = 18660 + 622 = 19282 ✔️
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5. 135 × 21
Break it down:
- 135 × 1 = 135
- 135 × 20 = 2700
- Add: 135 + 2700 =
2835
✔ Check:
135 × 21 = 135 × (20 + 1) = 2700 + 135 = 2835 ✔️
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6. 531 × 22
Break it down:
- 531 × 2 = 1062
- 531 × 20 = 10620
- Add: 1062 + 10620 =
11682
✔ Check:
531 × 22 = 531 × (20 + 2) = 10620 + 1062 = 11682 ✔️
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7. 721 × 13
Break it down:
- 721 × 3 = 2163
- 721 × 10 = 7210
- Add: 2163 + 7210 =
9373
✔ Check:
721 × 13 = 721 × (10 + 3) = 7210 + 2163 = 9373 ✔️
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8. 421 × 31
Break it down:
- 421 × 1 = 421
- 421 × 30 = 12630
- Add: 421 + 12630 =
13051
✔ Check:
421 × 31 = 421 × (30 + 1) = 12630 + 421 = 13051 ✔️
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9. 231 × 32
Break it down:
- 231 × 2 = 462
- 231 × 30 = 6930
- Add: 462 + 6930 =
7392
✔ Check:
231 × 32 = 231 × (30 + 2) = 6930 + 462 = 7392 ✔️
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Final Answer:
2808, 9072, 3564, 19282, 2835, 11682, 9373, 13051, 7392
Parent Tip: Review the logic above to help your child master the concept of 3 digit multiplication worksheet pdf.