3-Digit Multiplication Practice Sheet for Students
Printable multiplication worksheet with 3-digit numbers for practice and education.
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying with 3 Digit Numbers | Printable Multiplication Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Multiplying with 3 Digit Numbers | Printable Multiplication Worksheets
Let’s solve each multiplication problem step by step. We’ll do them one at a time, carefully multiplying the numbers.
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First row:
1. 469 × 733
Break it down:
- 469 × 700 = 328,300
- 469 × 30 = 14,070
- 469 × 3 = 1,407
Add them:
328,300 + 14,070 = 342,370
342,370 + 1,407 = 343,777
✔ Check with calculator-style multiplication:
469 × 733 = 343,777 ✔️
---
2. 717 × 625
Note: 625 is 5⁴, or 10000 ÷ 16 — but easier to break as:
717 × 600 = 430,200
717 × 25 = ? → 717 × 100 ÷ 4 = 71,700 ÷ 4 = 17,925
Total: 430,200 + 17,925 = 448,125
✔ Check: 717 × 625 = 448,125 ✔️
---
3. 845 × 281
Break it:
845 × 200 = 169,000
845 × 80 = 67,600
845 × 1 = 845
Add: 169,000 + 67,600 = 236,600 + 845 = 237,445
✔ Check: 845 × 281 = 237,445 ✔️
---
4. 855 × 731
Break:
855 × 700 = 598,500
855 × 30 = 25,650
855 × 1 = 855
Add: 598,500 + 25,650 = 624,150 + 855 = 625,005
✔ Check: 855 × 731 = 625,005 ✔️
---
5. 279 × 352
Break:
279 × 300 = 83,700
279 × 50 = 13,950
279 × 2 = 558
Add: 83,700 + 13,950 = 97,650 + 558 = 98,208
✔ Check: 279 × 352 = 98,208 ✔️
---
Second row:
6. 179 × 159
Break:
179 × 100 = 17,900
179 × 50 = 8,950
179 × 9 = 1,611
Add: 17,900 + 8,950 = 26,850 + 1,611 = 28,461
✔ Check: 179 × 159 = 28,461 ✔️
---
7. 943 × 959
This is tricky. Let’s use (a)(b) where b = 1000 - 41
So: 943 × (1000 - 41) = 943,000 - (943 × 41)
Compute 943 × 40 = 37,720
943 × 1 = 943
→ 37,720 + 943 = 38,663
Now subtract: 943,000 - 38,663 = 904,337
✔ Check: 943 × 959 = 904,337 ✔️
---
8. 380 × 604
Break:
380 × 600 = 228,000
380 × 4 = 1,520
Total: 228,000 + 1,520 = 229,520
✔ Check: 380 × 604 = 229,520 ✔️
---
9. 712 × 318
Break:
712 × 300 = 213,600
712 × 18 = ?
712 × 10 = 7,120
712 × 8 = 5,696
→ 7,120 + 5,696 = 12,816
Total: 213,600 + 12,816 = 226,416
✔ Check: 712 × 318 = 226,416 ✔️
---
10. 832 × 457
Break:
832 × 400 = 332,800
832 × 50 = 41,600
832 × 7 = 5,824
Add: 332,800 + 41,600 = 374,400 + 5,824 = 380,224
✔ Check: 832 × 457 = 380,224 ✔️
---
Third row:
11. 768 × 188
Break:
768 × 100 = 76,800
768 × 80 = 61,440
768 × 8 = 6,144
Add: 76,800 + 61,440 = 138,240 + 6,144 = 144,384
✔ Check: 768 × 188 = 144,384 ✔️
---
12. 539 × 485
Break:
539 × 400 = 215,600
539 × 80 = 43,120
539 × 5 = 2,695
Add: 215,600 + 43,120 = 258,720 + 2,695 = 261,415
✔ Check: 539 × 485 = 261,415 ✔️
---
13. 861 × 303
Break:
861 × 300 = 258,300
861 × 3 = 2,583
Total: 258,300 + 2,583 = 260,883
✔ Check: 861 × 303 = 260,883 ✔️
---
14. 909 × 425
Break:
909 × 400 = 363,600
909 × 25 = ? → 909 × 100 ÷ 4 = 90,900 ÷ 4 = 22,725
Total: 363,600 + 22,725 = 386,325
✔ Check: 909 × 425 = 386,325 ✔️
---
15. 481 × 868
Break:
481 × 800 = 384,800
481 × 60 = 28,860
481 × 8 = 3,848
Add: 384,800 + 28,860 = 413,660 + 3,848 = 417,508
✔ Check: 481 × 868 = 417,508 ✔️
---
Fourth row:
16. 415 × 741
Break:
415 × 700 = 290,500
415 × 40 = 16,600
415 × 1 = 415
Add: 290,500 + 16,600 = 307,100 + 415 = 307,515
✔ Check: 415 × 741 = 307,515 ✔️
---
17. 278 × 269
Break:
278 × 200 = 55,600
278 × 60 = 16,680
278 × 9 = 2,502
Add: 55,600 + 16,680 = 72,280 + 2,502 = 74,782
✔ Check: 278 × 269 = 74,782 ✔️
---
18. 314 × 698
Break:
314 × 700 = 219,800
But we need 698 → so subtract 314 × 2 = 628
219,800 - 628 = 219,172
✔ Check: 314 × 698 = 219,172 ✔️
---
19. 305 × 893
Break:
305 × 800 = 244,000
305 × 90 = 27,450
305 × 3 = 915
Add: 244,000 + 27,450 = 271,450 + 915 = 272,365
✔ Check: 305 × 893 = 272,365 ✔️
---
20. 978 × 381
Break:
978 × 300 = 293,400
978 × 80 = 78,240
978 × 1 = 978
Add: 293,400 + 78,240 = 371,640 + 978 = 372,618
✔ Check: 978 × 381 = 372,618 ✔️
---
Fifth row:
21. 838 × 880
Note: 880 = 88 × 10 → so compute 838 × 88 first, then ×10
838 × 80 = 67,040
838 × 8 = 6,704
Sum: 67,040 + 6,704 = 73,744
Then ×10 → 737,440
✔ Check: 838 × 880 = 737,440 ✔️
---
22. 799 × 430
Break:
799 × 400 = 319,600
799 × 30 = 23,970
Total: 319,600 + 23,970 = 343,570
✔ Check: 799 × 430 = 343,570 ✔️
---
23. 715 × 798
Break:
715 × 800 = 572,000
Subtract 715 × 2 = 1,430
572,000 - 1,430 = 570,570
✔ Check: 715 × 798 = 570,570 ✔️
---
24. 616 × 568
Break:
616 × 500 = 308,000
616 × 60 = 36,960
616 × 8 = 4,928
Add: 308,000 + 36,960 = 344,960 + 4,928 = 349,888
✔ Check: 616 × 568 = 349,888 ✔️
---
25. 102 × 536
Break:
100 × 536 = 53,600
2 × 536 = 1,072
Total: 53,600 + 1,072 = 54,672
✔ Check: 102 × 536 = 54,672 ✔️
---
All problems solved and verified!
Final Answer:
343777, 448125, 237445, 625005, 98208, 28461, 904337, 229520, 226416, 380224, 144384, 261415, 260883, 386325, 417508, 307515, 74782, 219172, 272365, 372618, 737440, 343570, 570570, 349888, 54672
---
First row:
1. 469 × 733
Break it down:
- 469 × 700 = 328,300
- 469 × 30 = 14,070
- 469 × 3 = 1,407
Add them:
328,300 + 14,070 = 342,370
342,370 + 1,407 = 343,777
✔ Check with calculator-style multiplication:
469 × 733 = 343,777 ✔️
---
2. 717 × 625
Note: 625 is 5⁴, or 10000 ÷ 16 — but easier to break as:
717 × 600 = 430,200
717 × 25 = ? → 717 × 100 ÷ 4 = 71,700 ÷ 4 = 17,925
Total: 430,200 + 17,925 = 448,125
✔ Check: 717 × 625 = 448,125 ✔️
---
3. 845 × 281
Break it:
845 × 200 = 169,000
845 × 80 = 67,600
845 × 1 = 845
Add: 169,000 + 67,600 = 236,600 + 845 = 237,445
✔ Check: 845 × 281 = 237,445 ✔️
---
4. 855 × 731
Break:
855 × 700 = 598,500
855 × 30 = 25,650
855 × 1 = 855
Add: 598,500 + 25,650 = 624,150 + 855 = 625,005
✔ Check: 855 × 731 = 625,005 ✔️
---
5. 279 × 352
Break:
279 × 300 = 83,700
279 × 50 = 13,950
279 × 2 = 558
Add: 83,700 + 13,950 = 97,650 + 558 = 98,208
✔ Check: 279 × 352 = 98,208 ✔️
---
Second row:
6. 179 × 159
Break:
179 × 100 = 17,900
179 × 50 = 8,950
179 × 9 = 1,611
Add: 17,900 + 8,950 = 26,850 + 1,611 = 28,461
✔ Check: 179 × 159 = 28,461 ✔️
---
7. 943 × 959
This is tricky. Let’s use (a)(b) where b = 1000 - 41
So: 943 × (1000 - 41) = 943,000 - (943 × 41)
Compute 943 × 40 = 37,720
943 × 1 = 943
→ 37,720 + 943 = 38,663
Now subtract: 943,000 - 38,663 = 904,337
✔ Check: 943 × 959 = 904,337 ✔️
---
8. 380 × 604
Break:
380 × 600 = 228,000
380 × 4 = 1,520
Total: 228,000 + 1,520 = 229,520
✔ Check: 380 × 604 = 229,520 ✔️
---
9. 712 × 318
Break:
712 × 300 = 213,600
712 × 18 = ?
712 × 10 = 7,120
712 × 8 = 5,696
→ 7,120 + 5,696 = 12,816
Total: 213,600 + 12,816 = 226,416
✔ Check: 712 × 318 = 226,416 ✔️
---
10. 832 × 457
Break:
832 × 400 = 332,800
832 × 50 = 41,600
832 × 7 = 5,824
Add: 332,800 + 41,600 = 374,400 + 5,824 = 380,224
✔ Check: 832 × 457 = 380,224 ✔️
---
Third row:
11. 768 × 188
Break:
768 × 100 = 76,800
768 × 80 = 61,440
768 × 8 = 6,144
Add: 76,800 + 61,440 = 138,240 + 6,144 = 144,384
✔ Check: 768 × 188 = 144,384 ✔️
---
12. 539 × 485
Break:
539 × 400 = 215,600
539 × 80 = 43,120
539 × 5 = 2,695
Add: 215,600 + 43,120 = 258,720 + 2,695 = 261,415
✔ Check: 539 × 485 = 261,415 ✔️
---
13. 861 × 303
Break:
861 × 300 = 258,300
861 × 3 = 2,583
Total: 258,300 + 2,583 = 260,883
✔ Check: 861 × 303 = 260,883 ✔️
---
14. 909 × 425
Break:
909 × 400 = 363,600
909 × 25 = ? → 909 × 100 ÷ 4 = 90,900 ÷ 4 = 22,725
Total: 363,600 + 22,725 = 386,325
✔ Check: 909 × 425 = 386,325 ✔️
---
15. 481 × 868
Break:
481 × 800 = 384,800
481 × 60 = 28,860
481 × 8 = 3,848
Add: 384,800 + 28,860 = 413,660 + 3,848 = 417,508
✔ Check: 481 × 868 = 417,508 ✔️
---
Fourth row:
16. 415 × 741
Break:
415 × 700 = 290,500
415 × 40 = 16,600
415 × 1 = 415
Add: 290,500 + 16,600 = 307,100 + 415 = 307,515
✔ Check: 415 × 741 = 307,515 ✔️
---
17. 278 × 269
Break:
278 × 200 = 55,600
278 × 60 = 16,680
278 × 9 = 2,502
Add: 55,600 + 16,680 = 72,280 + 2,502 = 74,782
✔ Check: 278 × 269 = 74,782 ✔️
---
18. 314 × 698
Break:
314 × 700 = 219,800
But we need 698 → so subtract 314 × 2 = 628
219,800 - 628 = 219,172
✔ Check: 314 × 698 = 219,172 ✔️
---
19. 305 × 893
Break:
305 × 800 = 244,000
305 × 90 = 27,450
305 × 3 = 915
Add: 244,000 + 27,450 = 271,450 + 915 = 272,365
✔ Check: 305 × 893 = 272,365 ✔️
---
20. 978 × 381
Break:
978 × 300 = 293,400
978 × 80 = 78,240
978 × 1 = 978
Add: 293,400 + 78,240 = 371,640 + 978 = 372,618
✔ Check: 978 × 381 = 372,618 ✔️
---
Fifth row:
21. 838 × 880
Note: 880 = 88 × 10 → so compute 838 × 88 first, then ×10
838 × 80 = 67,040
838 × 8 = 6,704
Sum: 67,040 + 6,704 = 73,744
Then ×10 → 737,440
✔ Check: 838 × 880 = 737,440 ✔️
---
22. 799 × 430
Break:
799 × 400 = 319,600
799 × 30 = 23,970
Total: 319,600 + 23,970 = 343,570
✔ Check: 799 × 430 = 343,570 ✔️
---
23. 715 × 798
Break:
715 × 800 = 572,000
Subtract 715 × 2 = 1,430
572,000 - 1,430 = 570,570
✔ Check: 715 × 798 = 570,570 ✔️
---
24. 616 × 568
Break:
616 × 500 = 308,000
616 × 60 = 36,960
616 × 8 = 4,928
Add: 308,000 + 36,960 = 344,960 + 4,928 = 349,888
✔ Check: 616 × 568 = 349,888 ✔️
---
25. 102 × 536
Break:
100 × 536 = 53,600
2 × 536 = 1,072
Total: 53,600 + 1,072 = 54,672
✔ Check: 102 × 536 = 54,672 ✔️
---
All problems solved and verified!
Final Answer:
343777, 448125, 237445, 625005, 98208, 28461, 904337, 229520, 226416, 380224, 144384, 261415, 260883, 386325, 417508, 307515, 74782, 219172, 272365, 372618, 737440, 343570, 570570, 349888, 54672
Parent Tip: Review the logic above to help your child master the concept of three digit multiplication worksheet.
