Let’s solve each multiplication problem step by step. We’ll do them one at a time, carefully checking our work.
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Problem 1: 845 × 22
Break it down:
- First, multiply 845 × 2 = 1690
- Then, multiply 845 × 20 = 16900 (because 20 is 2×10, so add a zero)
- Add them: 1690 + 16900 =
18590
✔ Check:
845 × 22 = 845 × (20 + 2) = 16900 + 1690 = 18590 → Correct
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Problem 2: 645 × 38
Break it down:
- 645 × 8 = 5160
- 645 × 30 = 19350 (since 30 = 3×10, add a zero to 645×3=1935 → 19350)
- Add: 5160 + 19350 =
24510
✔ Check:
645 × 38 = 645 × (40 - 2) = 25800 - 1290 = 24510 → Correct
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Problem 3: 392 × 48
Break it down:
- 392 × 8 = 3136
- 392 × 40 = 15680 (392×4=1568, then add zero → 15680)
- Add: 3136 + 15680 =
18816
✔ Check:
392 × 48 = 392 × (50 - 2) = 19600 - 784 = 18816 → Correct
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Problem 4: 675 × 98
Break it down:
- 675 × 8 = 5400
- 675 × 90 = 60750 (675×9=6075, add zero → 60750)
- Add: 5400 + 60750 =
66150
✔ Check:
675 × 98 = 675 × (100 - 2) = 67500 - 1350 = 66150 → Correct
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Problem 5: 883 × 69
Break it down:
- 883 × 9 = 7947
- 883 × 60 = 52980 (883×6=5298, add zero → 52980)
- Add: 7947 + 52980 =
60927
✔ Check:
883 × 69 = 883 × (70 - 1) = 61810 - 883 = 60927 → Correct
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Problem 6: 600 × 35
Easy! Just multiply 6 × 35 = 210, then add two zeros →
21000
✔ Check:
600 × 35 = 6 × 100 × 35 = 6 × 35 × 100 = 210 × 100 = 21000 → Correct
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Problem 7: 925 × 37
Break it down:
- 925 × 7 = 6475
- 925 × 30 = 27750 (925×3=2775, add zero → 27750)
- Add: 6475 + 27750 =
34225
✔ Check:
925 × 37 = 925 × (40 - 3) = 37000 - 2775 = 34225 → Correct
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Problem 8: 428 × 98
Break it down:
- 428 × 8 = 3424
- 428 × 90 = 38520 (428×9=3852, add zero → 38520)
- Add: 3424 + 38520 =
41944
✔ Check:
428 × 98 = 428 × (100 - 2) = 42800 - 856 = 41944 → Correct
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Problem 9: 285 × 45
Break it down:
- 285 × 5 = 1425
- 285 × 40 = 11400 (285×4=1140, add zero → 11400)
- Add: 1425 + 11400 =
12825
✔ Check:
285 × 45 = 285 × (50 - 5) = 14250 - 1425 = 12825 → Correct
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Problem 10: 731 × 93
Break it down:
- 731 × 3 = 2193
- 731 × 90 = 65790 (731×9=6579, add zero → 65790)
- Add: 2193 + 65790 =
67983
✔ Check:
731 × 93 = 731 × (100 - 7) = 73100 - 5117 = 67983 → Correct
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Problem 11: 675 × 28
Break it down:
- 675 × 8 = 5400
- 675 × 20 = 13500
- Add: 5400 + 13500 =
18900
✔ Check:
675 × 28 = 675 × (30 - 2) = 20250 - 1350 = 18900 → Correct
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Problem 12: 587 × 47
Break it down:
- 587 × 7 = 4109
- 587 × 40 = 23480 (587×4=2348, add zero → 23480)
- Add: 4109 + 23480 =
27589
✔ Check:
587 × 47 = 587 × (50 - 3) = 29350 - 1761 = 27589 → Correct
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Final Answer:
1. 18590
2. 24510
3. 18816
4. 66150
5. 60927
6. 21000
7. 34225
8. 41944
9. 12825
10. 67983
11. 18900
12. 27589
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheets grade 5.