Let's solve each of the multiplication problems step by step using the standard algorithm (long multiplication). I'll go through each one carefully.
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1. 684 × 25
Break down 25 into 20 + 5:
- 684 × 5 = 3,420
- 684 × 20 = 13,680
Now add them:
3,420 + 13,680 =
17,100
✔ Answer: 17,100
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2. 167 × 24
Break down 24 into 20 + 4:
- 167 × 4 = 668
- 167 × 20 = 3,340
Add:
668 + 3,340 =
4,008
✔ Answer: 4,008
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3. 665 × 22
Break down 22 into 20 + 2:
- 665 × 2 = 1,330
- 665 × 20 = 13,300
Add:
1,330 + 13,300 =
14,630
✔ Answer: 14,630
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4. 645 × 24
Break down 24 into 20 + 4:
- 645 × 4 = 2,580
- 645 × 20 = 12,900
Add:
2,580 + 12,900 =
15,480
✔ Answer: 15,480
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5. 908 × 54
Break down 54 into 50 + 4:
- 908 × 4 = 3,632
- 908 × 50 = 45,400
Add:
3,632 + 45,400 =
49,032
✔ Answer: 49,032
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6. 624 × 24
Break down 24 into 20 + 4:
- 624 × 4 = 2,496
- 624 × 20 = 12,480
Add:
2,496 + 12,480 =
14,976
✔ Answer: 14,976
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7. 829 × 27
Break down 27 into 20 + 7:
- 829 × 7 = 5,793
- 829 × 20 = 16,580
Add:
5,793 + 16,580 =
22,373
✔ Answer: 22,373
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8. 634 × 42
Break down 42 into 40 + 2:
- 634 × 2 = 1,268
- 634 × 40 = 25,360
Add:
1,268 + 25,360 =
26,628
✔ Answer: 26,628
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9. 786 × 45
Break down 45 into 40 + 5:
- 786 × 5 = 3,930
- 786 × 40 = 31,440
Add:
3,930 + 31,440 =
35,370
✔ Answer: 35,370
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✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 684 × 25 |
17,100 |
| 167 × 24 |
4,008 |
| 665 × 22 |
14,630 |
| 645 × 24 |
15,480 |
| 908 × 54 |
49,032 |
| 624 × 24 |
14,976 |
| 829 × 27 |
22,373 |
| 634 × 42 |
26,628 |
| 786 × 45 |
35,370 |
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🔍 Explanation:
We used
long multiplication by breaking the second number into tens and units, multiplying separately, then adding the results. This method helps avoid mistakes and is efficient for multi-digit numbers.
Let me know if you'd like a visual breakdown of any specific problem!
Parent Tip: Review the logic above to help your child master the concept of 3 digit by 2 digit multiplication worksheets.