Multiplying with 3 Digit Numbers | Printable Multiplication Worksheets - Free Printable
Educational worksheet: Multiplying with 3 Digit Numbers | Printable Multiplication Worksheets. Download and print for classroom or home learning activities.
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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 of the multiplication problems on this worksheet step by step. I'll go through them one at a time, showing the method and final answer.
---
We use standard long multiplication:
```
469
×733
------
1407 ← 469 × 3
1407 ← 469 × 30 (shifted left)
3283 ← 469 × 700 (shifted left)
-------
343,577
```
✔ Answer: 343,577
---
Break down 625 = 600 + 20 + 5
```
717 × 625 = 717 × (600 + 20 + 5)
= 717×600 = 430,200
+ 717×20 = 14,340
+ 717×5 = 3,585
Total = 430,200 + 14,340 = 444,540 + 3,585 = 448,125
```
✔ Answer: 448,125
---
```
845
×281
------
845 ← 845 × 1
6760 ← 845 × 80
16900 ← 845 × 200
-------
237,245
```
✔ Answer: 237,245
---
```
855
×731
------
855 ← 855 × 1
2565 ← 855 × 30
5985 ← 855 × 700
-------
624,505
```
✔ Answer: 624,505
---
```
279
×352
------
558 ← 279 × 2
1395 ← 279 × 50
837 ← 279 × 300
-------
98,108
```
✔ Answer: 98,108
---
```
179
×159
------
179 ← 179 × 9
895 ← 179 × 50
179 ← 179 × 100
-------
28,461
```
✔ Answer: 28,461
---
Use:
943 × 959 = 943 × (1000 - 41) = 943,000 - (943 × 41)
First compute 943 × 41:
943 × 40 = 37,720
943 × 1 = 943
→ 37,720 + 943 = 38,663
Then: 943,000 - 38,663 = 904,337
✔ Answer: 904,337
---
Note: 380 × 604 = 380 × (600 + 4) = 380×600 + 380×4
380 × 600 = 228,000
380 × 4 = 1,520
Total = 228,000 + 1,520 = 229,520
✔ Answer: 229,520
---
```
712
×318
------
5696 ← 712 × 8
7120 ← 712 × 10
21360 ← 712 × 300
-------
226,416
```
✔ Answer: 226,416
---
```
832
×457
------
5824 ← 832 × 7
4160 ← 832 × 50
33280 ← 832 × 400
-------
380,324
```
✔ Answer: 380,324
---
Break into: 768 × (100 + 80 + 8)
768 × 100 = 76,800
768 × 80 = 61,440
768 × 8 = 6,144
Total = 76,800 + 61,440 = 138,240 + 6,144 = 144,384
✔ Answer: 144,384
---
Break: 539 × (400 + 80 + 5)
539 × 400 = 215,600
539 × 80 = 43,120
539 × 5 = 2,695
Sum: 215,600 + 43,120 = 258,720 + 2,695 = 261,415
✔ Answer: 261,415
---
861 × 303 = 861 × (300 + 3) = 861×300 + 861×3
861 × 300 = 258,300
861 × 3 = 2,583
Total = 258,300 + 2,583 = 260,883
✔ Answer: 260,883
---
Break: 909 × (400 + 20 + 5)
909 × 400 = 363,600
909 × 20 = 18,180
909 × 5 = 4,545
Sum: 363,600 + 18,180 = 381,780 + 4,545 = 386,325
✔ Answer: 386,325
---
Break: 481 × (800 + 60 + 8)
481 × 800 = 384,800
481 × 60 = 28,860
481 × 8 = 3,848
Sum: 384,800 + 28,860 = 413,660 + 3,848 = 417,508
✔ Answer: 417,508
---
415 × 741 = ?
Use long multiplication:
```
415
×741
------
415 ← 415 × 1
1660 ← 415 × 40
2905 ← 415 × 700
-------
307,315
```
✔ Answer: 307,315
---
```
278
×269
------
278 ← 278 × 9
1668 ← 278 × 60
556 ← 278 × 200
-------
74,782
```
✔ Answer: 74,782
---
Break: 314 × (700 - 2) = 314×700 - 314×2
314 × 700 = 219,800
314 × 2 = 628
→ 219,800 - 628 = 219,172
✔ Answer: 219,172
---
Break: 305 × (900 - 7) = 305×900 - 305×7
305 × 900 = 274,500
305 × 7 = 2,135
→ 274,500 - 2,135 = 272,365
✔ Answer: 272,365
---
Break: 978 × (300 + 80 + 1)
978 × 300 = 293,400
978 × 80 = 78,240
978 × 1 = 978
Sum: 293,400 + 78,240 = 371,640 + 978 = 372,618
✔ Answer: 372,618
---
838 × 880 = 838 × 88 × 10
First: 838 × 88
838 × 80 = 67,040
838 × 8 = 6,704
Sum: 67,040 + 6,704 = 73,744
Now ×10 → 737,440
✔ Answer: 737,440
---
799 × 430 = 799 × 43 × 10
799 × 40 = 31,960
799 × 3 = 2,397
Sum: 31,960 + 2,397 = 34,357
×10 → 343,570
✔ Answer: 343,570
---
Break: 715 × (800 - 2) = 715×800 - 715×2
715 × 800 = 572,000
715 × 2 = 1,430
→ 572,000 - 1,430 = 570,570
✔ Answer: 570,570
---
Break: 616 × (500 + 60 + 8)
616 × 500 = 308,000
616 × 60 = 36,960
616 × 8 = 4,928
Sum: 308,000 + 36,960 = 344,960 + 4,928 = 349,888
✔ Answer: 349,888
---
102 × 536 = (100 + 2) × 536 = 53,600 + 1,072 = 54,672
✔ Answer: 54,672
---
## ✔ Final Answers Summary:
| Problem | Answer |
|--------|--------|
| 1. 469 × 733 | 343,577 |
| 2. 717 × 625 | 448,125 |
| 3. 845 × 281 | 237,245 |
| 4. 855 × 731 | 624,505 |
| 5. 279 × 352 | 98,108 |
| 6. 179 × 159 | 28,461 |
| 7. 943 × 959 | 904,337 |
| 8. 380 × 604 | 229,520 |
| 9. 712 × 318 | 226,416 |
|10. 832 × 457 | 380,324 |
|11. 768 × 188 | 144,384 |
|12. 539 × 485 | 261,415 |
|13. 861 × 303 | 260,883 |
|14. 909 × 425 | 386,325 |
|15. 481 × 868 | 417,508 |
|16. 415 × 741 | 307,315 |
|17. 278 × 269 | 74,782 |
|18. 314 × 698 | 219,172 |
|19. 305 × 893 | 272,365 |
|20. 978 × 381 | 372,618 |
|21. 838 × 880 | 737,440 |
|22. 799 × 430 | 343,570 |
|23. 715 × 798 | 570,570 |
|24. 616 × 568 | 349,888 |
|25. 102 × 536 | 54,672 |
---
Let me know if you'd like these solutions formatted as a printable sheet or need help with any specific problem!
---
1. 469 × 733
We use standard long multiplication:
```
469
×733
------
1407 ← 469 × 3
1407 ← 469 × 30 (shifted left)
3283 ← 469 × 700 (shifted left)
-------
343,577
```
✔ Answer: 343,577
---
2. 717 × 625
Break down 625 = 600 + 20 + 5
```
717 × 625 = 717 × (600 + 20 + 5)
= 717×600 = 430,200
+ 717×20 = 14,340
+ 717×5 = 3,585
Total = 430,200 + 14,340 = 444,540 + 3,585 = 448,125
```
✔ Answer: 448,125
---
3. 845 × 281
```
845
×281
------
845 ← 845 × 1
6760 ← 845 × 80
16900 ← 845 × 200
-------
237,245
```
✔ Answer: 237,245
---
4. 855 × 731
```
855
×731
------
855 ← 855 × 1
2565 ← 855 × 30
5985 ← 855 × 700
-------
624,505
```
✔ Answer: 624,505
---
5. 279 × 352
```
279
×352
------
558 ← 279 × 2
1395 ← 279 × 50
837 ← 279 × 300
-------
98,108
```
✔ Answer: 98,108
---
6. 179 × 159
```
179
×159
------
179 ← 179 × 9
895 ← 179 × 50
179 ← 179 × 100
-------
28,461
```
✔ Answer: 28,461
---
7. 943 × 959
Use:
943 × 959 = 943 × (1000 - 41) = 943,000 - (943 × 41)
First compute 943 × 41:
943 × 40 = 37,720
943 × 1 = 943
→ 37,720 + 943 = 38,663
Then: 943,000 - 38,663 = 904,337
✔ Answer: 904,337
---
8. 380 × 604
Note: 380 × 604 = 380 × (600 + 4) = 380×600 + 380×4
380 × 600 = 228,000
380 × 4 = 1,520
Total = 228,000 + 1,520 = 229,520
✔ Answer: 229,520
---
9. 712 × 318
```
712
×318
------
5696 ← 712 × 8
7120 ← 712 × 10
21360 ← 712 × 300
-------
226,416
```
✔ Answer: 226,416
---
10. 832 × 457
```
832
×457
------
5824 ← 832 × 7
4160 ← 832 × 50
33280 ← 832 × 400
-------
380,324
```
✔ Answer: 380,324
---
11. 768 × 188
Break into: 768 × (100 + 80 + 8)
768 × 100 = 76,800
768 × 80 = 61,440
768 × 8 = 6,144
Total = 76,800 + 61,440 = 138,240 + 6,144 = 144,384
✔ Answer: 144,384
---
12. 539 × 485
Break: 539 × (400 + 80 + 5)
539 × 400 = 215,600
539 × 80 = 43,120
539 × 5 = 2,695
Sum: 215,600 + 43,120 = 258,720 + 2,695 = 261,415
✔ Answer: 261,415
---
13. 861 × 303
861 × 303 = 861 × (300 + 3) = 861×300 + 861×3
861 × 300 = 258,300
861 × 3 = 2,583
Total = 258,300 + 2,583 = 260,883
✔ Answer: 260,883
---
14. 909 × 425
Break: 909 × (400 + 20 + 5)
909 × 400 = 363,600
909 × 20 = 18,180
909 × 5 = 4,545
Sum: 363,600 + 18,180 = 381,780 + 4,545 = 386,325
✔ Answer: 386,325
---
15. 481 × 868
Break: 481 × (800 + 60 + 8)
481 × 800 = 384,800
481 × 60 = 28,860
481 × 8 = 3,848
Sum: 384,800 + 28,860 = 413,660 + 3,848 = 417,508
✔ Answer: 417,508
---
16. 415 × 741
415 × 741 = ?
Use long multiplication:
```
415
×741
------
415 ← 415 × 1
1660 ← 415 × 40
2905 ← 415 × 700
-------
307,315
```
✔ Answer: 307,315
---
17. 278 × 269
```
278
×269
------
278 ← 278 × 9
1668 ← 278 × 60
556 ← 278 × 200
-------
74,782
```
✔ Answer: 74,782
---
18. 314 × 698
Break: 314 × (700 - 2) = 314×700 - 314×2
314 × 700 = 219,800
314 × 2 = 628
→ 219,800 - 628 = 219,172
✔ Answer: 219,172
---
19. 305 × 893
Break: 305 × (900 - 7) = 305×900 - 305×7
305 × 900 = 274,500
305 × 7 = 2,135
→ 274,500 - 2,135 = 272,365
✔ Answer: 272,365
---
20. 978 × 381
Break: 978 × (300 + 80 + 1)
978 × 300 = 293,400
978 × 80 = 78,240
978 × 1 = 978
Sum: 293,400 + 78,240 = 371,640 + 978 = 372,618
✔ Answer: 372,618
---
21. 838 × 880
838 × 880 = 838 × 88 × 10
First: 838 × 88
838 × 80 = 67,040
838 × 8 = 6,704
Sum: 67,040 + 6,704 = 73,744
Now ×10 → 737,440
✔ Answer: 737,440
---
22. 799 × 430
799 × 430 = 799 × 43 × 10
799 × 40 = 31,960
799 × 3 = 2,397
Sum: 31,960 + 2,397 = 34,357
×10 → 343,570
✔ Answer: 343,570
---
23. 715 × 798
Break: 715 × (800 - 2) = 715×800 - 715×2
715 × 800 = 572,000
715 × 2 = 1,430
→ 572,000 - 1,430 = 570,570
✔ Answer: 570,570
---
24. 616 × 568
Break: 616 × (500 + 60 + 8)
616 × 500 = 308,000
616 × 60 = 36,960
616 × 8 = 4,928
Sum: 308,000 + 36,960 = 344,960 + 4,928 = 349,888
✔ Answer: 349,888
---
25. 102 × 536
102 × 536 = (100 + 2) × 536 = 53,600 + 1,072 = 54,672
✔ Answer: 54,672
---
## ✔ Final Answers Summary:
| Problem | Answer |
|--------|--------|
| 1. 469 × 733 | 343,577 |
| 2. 717 × 625 | 448,125 |
| 3. 845 × 281 | 237,245 |
| 4. 855 × 731 | 624,505 |
| 5. 279 × 352 | 98,108 |
| 6. 179 × 159 | 28,461 |
| 7. 943 × 959 | 904,337 |
| 8. 380 × 604 | 229,520 |
| 9. 712 × 318 | 226,416 |
|10. 832 × 457 | 380,324 |
|11. 768 × 188 | 144,384 |
|12. 539 × 485 | 261,415 |
|13. 861 × 303 | 260,883 |
|14. 909 × 425 | 386,325 |
|15. 481 × 868 | 417,508 |
|16. 415 × 741 | 307,315 |
|17. 278 × 269 | 74,782 |
|18. 314 × 698 | 219,172 |
|19. 305 × 893 | 272,365 |
|20. 978 × 381 | 372,618 |
|21. 838 × 880 | 737,440 |
|22. 799 × 430 | 343,570 |
|23. 715 × 798 | 570,570 |
|24. 616 × 568 | 349,888 |
|25. 102 × 536 | 54,672 |
---
Let me know if you'd like these solutions formatted as a printable sheet or need help with any specific problem!
Parent Tip: Review the logic above to help your child master the concept of 3 digit by 3 digit multiplication worksheet.
