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Printable math worksheet for practicing 3-digit by 2-digit multiplication problems.

Long Multiplication Worksheets

Educational worksheet: Long Multiplication Worksheets. Download and print for classroom or home learning activities.

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Show Answer Key & Explanations Step-by-step solution for: Long Multiplication Worksheets
Let’s solve each multiplication problem step by step. We’ll multiply the 3-digit number by the 2-digit number using standard multiplication (breaking it into parts: first multiply by the ones digit, then by the tens digit, then add).

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1. 435 × 72

First, multiply 435 × 2 = 870
Then, multiply 435 × 70 = 435 × 7 × 10 = 3045 × 10 = 30,450
Add: 870 + 30,450 = 31,320

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2. 325 × 54

325 × 4 = 1,300
325 × 50 = 325 × 5 × 10 = 1,625 × 10 = 16,250
Add: 1,300 + 16,250 = 17,550

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3. 804 × 79

804 × 9 = 7,236
804 × 70 = 804 × 7 × 10 = 5,628 × 10 = 56,280
Add: 7,236 + 56,280 = 63,516

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4. 908 × 47

908 × 7 = 6,356
908 × 40 = 908 × 4 × 10 = 3,632 × 10 = 36,320
Add: 6,356 + 36,320 = 42,676

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5. 905 × 80

This is easy — just multiply 905 × 8 and add a zero at the end.
905 × 8 = 7,240 → so 905 × 80 = 72,400

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6. 394 × 71

394 × 1 = 394
394 × 70 = 394 × 7 × 10 = 2,758 × 10 = 27,580
Add: 394 + 27,580 = 27,974

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7. 977 × 45

977 × 5 = 4,885
977 × 40 = 977 × 4 × 10 = 3,908 × 10 = 39,080
Add: 4,885 + 39,080 = 43,965

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8. 256 × 32

256 × 2 = 512
256 × 30 = 256 × 3 × 10 = 768 × 10 = 7,680
Add: 512 + 7,680 = 8,192

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9. 989 × 55

989 × 5 = 4,945
989 × 50 = 989 × 5 × 10 = 4,945 × 10 = 49,450
Add: 4,945 + 49,450 = 54,395

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10. 284 × 81

284 × 1 = 284
284 × 80 = 284 × 8 × 10 = 2,272 × 10 = 22,720
Add: 284 + 22,720 = 23,004

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11. 183 × 38

183 × 8 = 1,464
183 × 30 = 183 × 3 × 10 = 549 × 10 = 5,490
Add: 1,464 + 5,490 = 6,954

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12. 592 × 78

592 × 8 = 4,736
592 × 70 = 592 × 7 × 10 = 4,144 × 10 = 41,440
Add: 4,736 + 41,440 = 46,176

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13. 501 × 36

501 × 6 = 3,006
501 × 30 = 501 × 3 × 10 = 1,503 × 10 = 15,030
Add: 3,006 + 15,030 = 18,036

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14. 428 × 57

428 × 7 = 2,996
428 × 50 = 428 × 5 × 10 = 2,140 × 10 = 21,400
Add: 2,996 + 21,400 = 24,396

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15. 640 × 54

640 × 4 = 2,560
640 × 50 = 640 × 5 × 10 = 3,200 × 10 = 32,000
Add: 2,560 + 32,000 = 34,560

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16. 788 × 49

788 × 9 = 7,092
788 × 40 = 788 × 4 × 10 = 3,152 × 10 = 31,520
Add: 7,092 + 31,520 = 38,612

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17. 205 × 15

205 × 5 = 1,025
205 × 10 = 2,050
Add: 1,025 + 2,050 = 3,075

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18. 422 × 97

422 × 7 = 2,954
422 × 90 = 422 × 9 × 10 = 3,798 × 10 = 37,980
Add: 2,954 + 37,980 = 40,934

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19. 169 × 48

169 × 8 = 1,352
169 × 40 = 169 × 4 × 10 = 676 × 10 = 6,760
Add: 1,352 + 6,760 = 8,112

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20. 891 × 87

891 × 7 = 6,237
891 × 80 = 891 × 8 × 10 = 7,128 × 10 = 71,280
Add: 6,237 + 71,280 = 77,517

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Final Answer:
31,320
17,550
63,516
42,676
72,400
27,974
43,965
8,192
54,395
23,004
6,954
46,176
18,036
24,396
34,560
38,612
3,075
40,934
8,112
77,517
Parent Tip: Review the logic above to help your child master the concept of long multiplication worksheets.
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