Printable 3-digit multiplication worksheet for practicing multiplication problems, designed by Math Monks.
3-Digit Multiplication Worksheet with 16 problems for calculating products, featuring a title, name field, and Math Monks logo.
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ID: #540694
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit Multiplication Worksheets with Answer Key
▼
Show Answer Key & Explanations
Step-by-step solution for: 3 Digit Multiplication Worksheets with Answer Key
Let's solve each of the 3-digit multiplication problems step by step. I'll show the calculations clearly and provide the final answers.
---
Break it down:
```
785
×445
-----
3925 ← 785 × 5
3140 ← 785 × 40 (shifted one place left)
31400 ← 785 × 400 (shifted two places left)
-------
345,625
```
✔ Answer: 345,625
---
```
379
×188
-----
3032 ← 379 × 8
3032 ← 379 × 80 (shifted)
37900 ← 379 × 100 (shifted)
-------
71,352
```
✔ Answer: 71,352
---
```
932
×545
-----
4660 ← 932 × 5
3728 ← 932 × 40
46600 ← 932 × 500
-------
507,340
```
✔ Answer: 507,340
---
```
672
×379
-----
6048 ← 672 × 9
4704 ← 672 × 70
20160 ← 672 × 300
-------
254,688
```
✔ Answer: 254,688
---
```
278
×317
-----
1946 ← 278 × 7
278 ← 278 × 10
834 ← 278 × 300
-------
88,226
```
✔ Answer: 88,226
---
```
813
×907
-----
5691 ← 813 × 7
0 ← 813 × 0 (no tens)
7317 ← 813 × 900
-------
737,591
```
✔ Answer: 737,591
---
```
342
×609
-----
3078 ← 342 × 9
0 ← 342 × 0 (tens)
2052 ← 342 × 600
-------
207,678
```
✔ Answer: 207,678
---
```
269
×679
-----
2421 ← 269 × 9
1883 ← 269 × 70
1614 ← 269 × 600
-------
182,451
```
✔ Answer: 182,451
---
Note: Both numbers end in zero → simplify:
440 × 270 = (44 × 27) × 100
First, 44 × 27:
```
44
× 27
-----
308
88
-----
1188
```
Then: 1188 × 100 = 118,800
✔ Answer: 118,800
---
```
378
×217
-----
2646 ← 378 × 7
378 ← 378 × 10
756 ← 378 × 200
-------
82,026
```
✔ Answer: 82,026
---
```
652
×348
-----
5216 ← 652 × 8
2608 ← 652 × 40
1956 ← 652 × 300
-------
227,196
```
✔ Answer: 227,196
---
```
872
×319
-----
7848 ← 872 × 9
872 ← 872 × 10
2616 ← 872 × 300
-------
278,168
```
✔ Answer: 278,168
---
```
198
×372
-----
396 ← 198 × 2
1386 ← 198 × 70
594 ← 198 × 300
-------
73,656
```
✔ Answer: 73,656
---
Use distributive property:
235 × 111 = 235 × (100 + 10 + 1) = 23500 + 2350 + 235 = 26,085
✔ Answer: 26,085
---
```
348
×572
-----
696 ← 348 × 2
2436 ← 348 × 70
1740 ← 348 × 500
-------
198,816
```
✔ Answer: 198,816
---
Simplify: 270 × 494 = (27 × 494) × 10
First, 27 × 494:
```
494
× 27
-----
3458
988
-----
13,338
```
Now ×10 → 133,380
✔ Answer: 133,380
---
| Problem | Answer |
|--------|--------|
| 785 × 445 | 345,625 |
| 379 × 188 | 71,352 |
| 932 × 545 | 507,340 |
| 672 × 379 | 254,688 |
| 278 × 317 | 88,226 |
| 813 × 907 | 737,591 |
| 342 × 609 | 207,678 |
| 269 × 679 | 182,451 |
| 440 × 270 | 118,800 |
| 378 × 217 | 82,026 |
| 652 × 348 | 227,196 |
| 872 × 319 | 278,168 |
| 198 × 372 | 73,656 |
| 235 × 111 | 26,085 |
| 348 × 572 | 198,816 |
| 270 × 494 | 133,380 |
---
Let me know if you'd like a printable version or explanation for any specific problem!
---
1. 785 × 445
Break it down:
```
785
×445
-----
3925 ← 785 × 5
3140 ← 785 × 40 (shifted one place left)
31400 ← 785 × 400 (shifted two places left)
-------
345,625
```
✔ Answer: 345,625
---
2. 379 × 188
```
379
×188
-----
3032 ← 379 × 8
3032 ← 379 × 80 (shifted)
37900 ← 379 × 100 (shifted)
-------
71,352
```
✔ Answer: 71,352
---
3. 932 × 545
```
932
×545
-----
4660 ← 932 × 5
3728 ← 932 × 40
46600 ← 932 × 500
-------
507,340
```
✔ Answer: 507,340
---
4. 672 × 379
```
672
×379
-----
6048 ← 672 × 9
4704 ← 672 × 70
20160 ← 672 × 300
-------
254,688
```
✔ Answer: 254,688
---
5. 278 × 317
```
278
×317
-----
1946 ← 278 × 7
278 ← 278 × 10
834 ← 278 × 300
-------
88,226
```
✔ Answer: 88,226
---
6. 813 × 907
```
813
×907
-----
5691 ← 813 × 7
0 ← 813 × 0 (no tens)
7317 ← 813 × 900
-------
737,591
```
✔ Answer: 737,591
---
7. 342 × 609
```
342
×609
-----
3078 ← 342 × 9
0 ← 342 × 0 (tens)
2052 ← 342 × 600
-------
207,678
```
✔ Answer: 207,678
---
8. 269 × 679
```
269
×679
-----
2421 ← 269 × 9
1883 ← 269 × 70
1614 ← 269 × 600
-------
182,451
```
✔ Answer: 182,451
---
9. 440 × 270
Note: Both numbers end in zero → simplify:
440 × 270 = (44 × 27) × 100
First, 44 × 27:
```
44
× 27
-----
308
88
-----
1188
```
Then: 1188 × 100 = 118,800
✔ Answer: 118,800
---
10. 378 × 217
```
378
×217
-----
2646 ← 378 × 7
378 ← 378 × 10
756 ← 378 × 200
-------
82,026
```
✔ Answer: 82,026
---
11. 652 × 348
```
652
×348
-----
5216 ← 652 × 8
2608 ← 652 × 40
1956 ← 652 × 300
-------
227,196
```
✔ Answer: 227,196
---
12. 872 × 319
```
872
×319
-----
7848 ← 872 × 9
872 ← 872 × 10
2616 ← 872 × 300
-------
278,168
```
✔ Answer: 278,168
---
13. 198 × 372
```
198
×372
-----
396 ← 198 × 2
1386 ← 198 × 70
594 ← 198 × 300
-------
73,656
```
✔ Answer: 73,656
---
14. 235 × 111
Use distributive property:
235 × 111 = 235 × (100 + 10 + 1) = 23500 + 2350 + 235 = 26,085
✔ Answer: 26,085
---
15. 348 × 572
```
348
×572
-----
696 ← 348 × 2
2436 ← 348 × 70
1740 ← 348 × 500
-------
198,816
```
✔ Answer: 198,816
---
16. 270 × 494
Simplify: 270 × 494 = (27 × 494) × 10
First, 27 × 494:
```
494
× 27
-----
3458
988
-----
13,338
```
Now ×10 → 133,380
✔ Answer: 133,380
---
✔ Final Answers:
| Problem | Answer |
|--------|--------|
| 785 × 445 | 345,625 |
| 379 × 188 | 71,352 |
| 932 × 545 | 507,340 |
| 672 × 379 | 254,688 |
| 278 × 317 | 88,226 |
| 813 × 907 | 737,591 |
| 342 × 609 | 207,678 |
| 269 × 679 | 182,451 |
| 440 × 270 | 118,800 |
| 378 × 217 | 82,026 |
| 652 × 348 | 227,196 |
| 872 × 319 | 278,168 |
| 198 × 372 | 73,656 |
| 235 × 111 | 26,085 |
| 348 × 572 | 198,816 |
| 270 × 494 | 133,380 |
---
Let me know if you'd like a printable version or explanation for any specific problem!
Parent Tip: Review the logic above to help your child master the concept of free three digit multiplication worksheet.