Free printable multiplication worksheets featuring 3-digit number multiplication problems.
Printable 3-digit multiplication worksheet with multiple problems for practice.
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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 go row by row, left to right.
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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 math:
469 × 733 = 343,777 ✔️
2. 717 × 625
Note: 625 = 5⁴ = 10000 ÷ 16 → but easier to break as:
717 × 600 = 430,200
717 × 25 = ?
→ 717 × 20 = 14,340
→ 717 × 5 = 3,585
→ 14,340 + 3,585 = 17,925
Total: 430,200 + 17,925 = 448,125
✔ 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
236,600 + 845 = 237,445
✔ 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
624,150 + 855 = 625,005
✔ 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
97,650 + 558 = 98,208
✔ 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
26,850 + 1,611 = 28,461
✔ 179 × 159 = 28,461 ✔️
7. 943 × 959
This is big — let’s do:
943 × 900 = 848,700
943 × 50 = 47,150
943 × 9 = 8,487
Add:
848,700 + 47,150 = 895,850
895,850 + 8,487 = 904,337
✔ 943 × 959 = 904,337 ✔️
8. 380 × 604
Note: 380 × 600 = 228,000
380 × 4 = 1,520
Total: 228,000 + 1,520 = 229,520
✔ 380 × 604 = 229,520 ✔️
9. 712 × 318
Break:
712 × 300 = 213,600
712 × 10 = 7,120
712 × 8 = 5,696
Add:
213,600 + 7,120 = 220,720
220,720 + 5,696 = 226,416
✔ 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
374,400 + 5,824 = 380,224
✔ 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
138,240 + 6,144 = 144,384
✔ 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
258,720 + 2,695 = 261,415
✔ 539 × 485 = 261,415 ✔️
13. 861 × 303
Break:
861 × 300 = 258,300
861 × 3 = 2,583
Total: 258,300 + 2,583 = 260,883
✔ 861 × 303 = 260,883 ✔️
14. 909 × 425
Break:
909 × 400 = 363,600
909 × 25 = ?
→ 909 × 20 = 18,180
→ 909 × 5 = 4,545
→ 18,180 + 4,545 = 22,725
Total: 363,600 + 22,725 = 386,325
✔ 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
413,660 + 3,848 = 417,508
✔ 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
307,100 + 415 = 307,515
✔ 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
72,280 + 2,502 = 74,782
✔ 278 × 269 = 74,782 ✔️
18. 314 × 698
Break:
314 × 700 = 219,800
But we did 2 too many → subtract 314 × 2 = 628
So: 219,800 - 628 = 219,172
✔ 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
271,450 + 915 = 272,365
✔ 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
371,640 + 978 = 372,618
✔ 978 × 381 = 372,618 ✔️
---
Fifth Row:
21. 838 × 880
Note: 838 × 88 × 10 → or just:
838 × 800 = 670,400
838 × 80 = 67,040
Total: 670,400 + 67,040 = 737,440
✔ 838 × 880 = 737,440 ✔️
22. 799 × 430
Break:
799 × 400 = 319,600
799 × 30 = 23,970
Total: 319,600 + 23,970 = 343,570
✔ 799 × 430 = 343,570 ✔️
23. 715 × 798
Break:
715 × 800 = 572,000
Subtract 715 × 2 = 1,430
→ 572,000 - 1,430 = 570,570
✔ 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
344,960 + 4,928 = 349,888
✔ 616 × 568 = 349,888 ✔️
25. 102 × 536
Easy! Break:
100 × 536 = 53,600
2 × 536 = 1,072
Total: 53,600 + 1,072 = 54,672
✔ 102 × 536 = 54,672 ✔️
---
Final Answer:
Here are all the answers in order (left to right, top to bottom):
343,777
448,125
237,445
625,005
98,208
28,461
904,337
229,520
226,416
380,224
144,384
261,415
260,883
386,325
417,508
307,515
74,782
219,172
272,365
372,618
737,440
343,570
570,570
349,888
54,672
---
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 math:
469 × 733 = 343,777 ✔️
2. 717 × 625
Note: 625 = 5⁴ = 10000 ÷ 16 → but easier to break as:
717 × 600 = 430,200
717 × 25 = ?
→ 717 × 20 = 14,340
→ 717 × 5 = 3,585
→ 14,340 + 3,585 = 17,925
Total: 430,200 + 17,925 = 448,125
✔ 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
236,600 + 845 = 237,445
✔ 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
624,150 + 855 = 625,005
✔ 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
97,650 + 558 = 98,208
✔ 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
26,850 + 1,611 = 28,461
✔ 179 × 159 = 28,461 ✔️
7. 943 × 959
This is big — let’s do:
943 × 900 = 848,700
943 × 50 = 47,150
943 × 9 = 8,487
Add:
848,700 + 47,150 = 895,850
895,850 + 8,487 = 904,337
✔ 943 × 959 = 904,337 ✔️
8. 380 × 604
Note: 380 × 600 = 228,000
380 × 4 = 1,520
Total: 228,000 + 1,520 = 229,520
✔ 380 × 604 = 229,520 ✔️
9. 712 × 318
Break:
712 × 300 = 213,600
712 × 10 = 7,120
712 × 8 = 5,696
Add:
213,600 + 7,120 = 220,720
220,720 + 5,696 = 226,416
✔ 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
374,400 + 5,824 = 380,224
✔ 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
138,240 + 6,144 = 144,384
✔ 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
258,720 + 2,695 = 261,415
✔ 539 × 485 = 261,415 ✔️
13. 861 × 303
Break:
861 × 300 = 258,300
861 × 3 = 2,583
Total: 258,300 + 2,583 = 260,883
✔ 861 × 303 = 260,883 ✔️
14. 909 × 425
Break:
909 × 400 = 363,600
909 × 25 = ?
→ 909 × 20 = 18,180
→ 909 × 5 = 4,545
→ 18,180 + 4,545 = 22,725
Total: 363,600 + 22,725 = 386,325
✔ 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
413,660 + 3,848 = 417,508
✔ 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
307,100 + 415 = 307,515
✔ 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
72,280 + 2,502 = 74,782
✔ 278 × 269 = 74,782 ✔️
18. 314 × 698
Break:
314 × 700 = 219,800
But we did 2 too many → subtract 314 × 2 = 628
So: 219,800 - 628 = 219,172
✔ 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
271,450 + 915 = 272,365
✔ 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
371,640 + 978 = 372,618
✔ 978 × 381 = 372,618 ✔️
---
Fifth Row:
21. 838 × 880
Note: 838 × 88 × 10 → or just:
838 × 800 = 670,400
838 × 80 = 67,040
Total: 670,400 + 67,040 = 737,440
✔ 838 × 880 = 737,440 ✔️
22. 799 × 430
Break:
799 × 400 = 319,600
799 × 30 = 23,970
Total: 319,600 + 23,970 = 343,570
✔ 799 × 430 = 343,570 ✔️
23. 715 × 798
Break:
715 × 800 = 572,000
Subtract 715 × 2 = 1,430
→ 572,000 - 1,430 = 570,570
✔ 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
344,960 + 4,928 = 349,888
✔ 616 × 568 = 349,888 ✔️
25. 102 × 536
Easy! Break:
100 × 536 = 53,600
2 × 536 = 1,072
Total: 53,600 + 1,072 = 54,672
✔ 102 × 536 = 54,672 ✔️
---
Final Answer:
Here are all the answers in order (left to right, top to bottom):
343,777
448,125
237,445
625,005
98,208
28,461
904,337
229,520
226,416
380,224
144,384
261,415
260,883
386,325
417,508
307,515
74,782
219,172
272,365
372,618
737,440
343,570
570,570
349,888
54,672
Parent Tip: Review the logic above to help your child master the concept of multiplication worksheet 3.
