Let’s solve each multiplication problem step by step.
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Problem 1: 4,427 × 982
We’ll break it down:
First, multiply 4,427 by 2 (the ones digit of 982):
→ 4,427 × 2 = 8,854
Then, multiply 4,427 by 80 (the tens digit of 982 — remember to shift one place left):
→ 4,427 × 8 = 35,416 → so ×80 = 354,160
Then, multiply 4,427 by 900 (the hundreds digit — shift two places left):
→ 4,427 × 9 = 39,843 → so ×900 = 3,984,300
Now add them up:
8,854 + 354,160 = 363,014
363,014 + 3,984,300 =
4,347,314
✔ Problem 1 Answer:
4,347,314
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Problem 2: 6,672 × 484
Break it down:
×4 (ones): 6,672 × 4 = 26,688
×80 (tens): 6,672 × 8 = 53,376 → ×80 = 533,760
×400 (hundreds): 6,672 × 4 = 26,688 → ×400 = 10,675,200
Add:
26,688 + 533,760 = 560,448
560,448 + 10,675,200 =
11,235,648
✔ Problem 2 Answer:
11,235,648
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Problem 3: 9,374 × 228
×8: 9,374 × 8 = 74,992
×20: 9,374 × 2 = 18,748 → ×20 = 374,960
×200: 9,374 × 2 = 18,748 → ×200 = 3,749,600
Add:
74,992 + 374,960 = 449,952
449,952 + 3,749,600 =
4,199,552
✔ Problem 3 Answer:
4,199,552
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Problem 4: 3,784 × 678
×8: 3,784 × 8 = 30,272
×70: 3,784 × 7 = 26,488 → ×70 = 1,854,160
×600: 3,784 × 6 = 22,704 → ×600 = 13,622,400
Add:
30,272 + 1,854,160 = 1,884,432
1,884,432 + 13,622,400 =
15,506,832
✔ Problem 4 Answer:
15,506,832
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Problem 5: 4,674 × 824
×4: 4,674 × 4 = 18,696
×20: 4,674 × 2 = 9,348 → ×20 = 186,960
×800: 4,674 × 8 = 37,392 → ×800 = 29,913,600
Add:
18,696 + 186,960 = 205,656
205,656 + 29,913,600 =
30,119,256
✔ Problem 5 Answer:
30,119,256
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Problem 6: 5,585 × 382
×2: 5,585 × 2 = 11,170
×80: 5,585 × 8 = 44,680 → ×80 = 357,440
×300: 5,585 × 3 = 16,755 → ×300 = 5,026,500
Add:
11,170 + 357,440 = 368,610
368,610 + 5,026,500 =
5,395,110
✔ Problem 6 Answer:
5,395,110
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Problem 7: 9,272 × 578
×8: 9,272 × 8 = 74,176
×70: 9,272 × 7 = 64,904 → ×70 = 4,543,280
×500: 9,272 × 5 = 46,360 → ×500 = 23,180,000
Add:
74,176 + 4,543,280 = 4,617,456
4,617,456 + 23,180,000 =
27,797,456
✔ Problem 7 Answer:
27,797,456
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Problem 8: 6,827 × 289
×9: 6,827 × 9 = 61,443
×80: 6,827 × 8 = 54,616 → ×80 = 4,369,280
×200: 6,827 × 2 = 13,654 → ×200 = 2,730,800
Add:
61,443 + 4,369,280 = 4,430,723
4,430,723 + 2,730,800 =
7,161,523
✔ Problem 8 Answer:
7,161,523
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Problem 9: 8,672 × 249
×9: 8,672 × 9 = 78,048
×40: 8,672 × 4 = 34,688 → ×40 = 1,387,520
×200: 8,672 × 2 = 17,344 → ×200 = 3,468,800
Add:
78,048 + 1,387,520 = 1,465,568
1,465,568 + 3,468,800 =
4,934,368
✔ Problem 9 Answer:
4,934,368
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Final Answer:
1) 4,347,314
2) 11,235,648
3) 4,199,552
4) 15,506,832
5) 30,119,256
6) 5,395,110
7) 27,797,456
8) 7,161,523
9) 4,934,368
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheet for 6th grade.
