Let’s solve each multiplication problem step by step. We’ll use column multiplication — multiply the top number by each digit of the bottom number, starting from the right, and add the results.
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Problem 1: 742 × 854
Break it down:
- 742 × 4 = 2,968
- 742 × 50 = 37,100 (because 5 is in tens place → multiply by 5 then add a zero)
- 742 × 800 = 593,600 (because 8 is in hundreds place → multiply by 8 then add two zeros)
Now add them:
2,968
+37,100
= 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
+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
+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
+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
+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
+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
+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
+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
+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
+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
+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
+93,000 =
104,160
✔ Check: 465 × 224 = 104,160
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Final Answer:
1. 633668
2. 291444
3. 367319
4. 614781
5. 648088
6. 322376
7. 183700
8. 382901
9. 337864
10. 599769
11. 208936
12. 104160
Parent Tip: Review the logic above to help your child master the concept of 6th grade worksheets.
