Let’s solve each multiplication problem step by step. Since these are column multiplications (3-digit × 3-digit), we’ll multiply each digit of the bottom number by the top number, shifting left as we go, then add them up.
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Problem 1: 742 × 854
Break it down:
- 742 × 4 = 2,968
- 742 × 50 = 37,100
- 742 × 800 = 593,600
Add them:
2,968 + 37,100 = 40,068
40,068 + 593,600 =
633,668
✔ Check: 742 × 854 = 633,668
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Problem 2: 652 × 447
- 652 × 7 = 4,564
- 652 × 40 = 26,080
- 652 × 400 = 260,800
Add:
4,564 + 26,080 = 30,644
30,644 + 260,800 =
291,444
✔ Check: 652 × 447 = 291,444
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Problem 3: 697 × 527
- 697 × 7 = 4,879
- 697 × 20 = 13,940
- 697 × 500 = 348,500
Add:
4,879 + 13,940 = 18,819
18,819 + 348,500 =
367,319
✔ Check: 697 × 527 = 367,319
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Problem 4: 747 × 823
- 747 × 3 = 2,241
- 747 × 20 = 14,940
- 747 × 800 = 597,600
Add:
2,241 + 14,940 = 17,181
17,181 + 597,600 =
614,781
✔ Check: 747 × 823 = 614,781
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Problem 5: 994 × 652
- 994 × 2 = 1,988
- 994 × 50 = 49,700
- 994 × 600 = 596,400
Add:
1,988 + 49,700 = 51,688
51,688 + 596,400 =
648,088
✔ Check: 994 × 652 = 648,088
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Problem 6: 472 × 683
- 472 × 3 = 1,416
- 472 × 80 = 37,760
- 472 × 600 = 283,200
Add:
1,416 + 37,760 = 39,176
39,176 + 283,200 =
322,376
✔ Check: 472 × 683 = 322,376
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Problem 7: 668 × 275
- 668 × 5 = 3,340
- 668 × 70 = 46,760
- 668 × 200 = 133,600
Add:
3,340 + 46,760 = 50,100
50,100 + 133,600 =
183,700
✔ Check: 668 × 275 = 183,700
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Problem 8: 827 × 463
- 827 × 3 = 2,481
- 827 × 60 = 49,620
- 827 × 400 = 330,800
Add:
2,481 + 49,620 = 52,101
52,101 + 330,800 =
382,901
✔ Check: 827 × 463 = 382,901
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Problem 9: 538 × 628
- 538 × 8 = 4,304
- 538 × 20 = 10,760
- 538 × 600 = 322,800
Add:
4,304 + 10,760 = 15,064
15,064 + 322,800 =
337,864
✔ Check: 538 × 628 = 337,864
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Problem 10: 927 × 647
- 927 × 7 = 6,489
- 927 × 40 = 37,080
- 927 × 600 = 556,200
Add:
6,489 + 37,080 = 43,569
43,569 + 556,200 =
599,769
✔ Check: 927 × 647 = 599,769
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Problem 11: 364 × 574
- 364 × 4 = 1,456
- 364 × 70 = 25,480
- 364 × 500 = 182,000
Add:
1,456 + 25,480 = 26,936
26,936 + 182,000 =
208,936
✔ Check: 364 × 574 = 208,936
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Problem 12: 465 × 224
- 465 × 4 = 1,860
- 465 × 20 = 9,300
- 465 × 200 = 93,000
Add:
1,860 + 9,300 = 11,160
11,160 + 93,000 =
104,160
✔ Check: 465 × 224 = 104,160
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Final Answer:
1. 633,668
2. 291,444
3. 367,319
4. 614,781
5. 648,088
6. 322,376
7. 183,700
8. 382,901
9. 337,864
10. 599,769
11. 208,936
12. 104,160
Parent Tip: Review the logic above to help your child master the concept of grade 6 worksheet.
