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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.

3-Digit Multiplication Worksheet with 16 problems for calculating products, featuring a title, name field, and Math Monks logo.

WEBP 742×1050 29 KB Free · Personal Use
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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.

---

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 |

---

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Parent Tip: Review the logic above to help your child master the concept of free three digit multiplication worksheet.
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