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Multiplication practice worksheet with nine problems on a grid layout.

A math worksheet titled "Multiply" featuring nine multiplication problems arranged in a grid, each with two- and three-digit numbers to be multiplied.

A math worksheet titled "Multiply" featuring nine multiplication problems arranged in a grid, each with two- and three-digit numbers to be multiplied.

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ID: #280125
Show Answer Key & Explanations Step-by-step solution for: Multiplication - 3 Digit By 2 Digit - Twenty Two Worksheets ...
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.

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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

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Problem 2: 432 × 21



Break it down:
- 432 × 1 = 432
- 432 × 20 = 8640
- Add: 432 + 8640 = 9072

Answer: 9072

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Problem 3: 324 × 11



Break it down:
- 324 × 1 = 324
- 324 × 10 = 3240
- Add: 324 + 3240 = 3564

Answer: 3564

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Problem 4: 622 × 31



Break it down:
- 622 × 1 = 622
- 622 × 30 = 18660
- Add: 622 + 18660 = 19282

Answer: 19282

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Problem 5: 135 × 21



Break it down:
- 135 × 1 = 135
- 135 × 20 = 2700
- Add: 135 + 2700 = 2835

Answer: 2835

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Problem 6: 531 × 22



Break it down:
- 531 × 2 = 1062
- 531 × 20 = 10620
- Add: 1062 + 10620 = 11682

Answer: 11682

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Problem 7: 721 × 13



Break it down:
- 721 × 3 = 2163
- 721 × 10 = 7210
- Add: 2163 + 7210 = 9373

Answer: 9373

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Problem 8: 421 × 31



Break it down:
- 421 × 1 = 421
- 421 × 30 = 12630
- Add: 421 + 12630 = 13051

Answer: 13051

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Problem 9: 231 × 32



Break it down:
- 231 × 2 = 462
- 231 × 30 = 6930
- Add: 462 + 6930 = 7392

Answer: 7392

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## Final Answers (in order):

1. 2808
2. 9072
3. 3564
4. 19282
5. 2835
6. 11682
7. 9373
8. 13051
9. 7392

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## 📝 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.
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