Free printable 3-digit multiplication worksheets for math practice.

You’ve uploaded a worksheet titled “3 Digit Numbers - Free Printable Multiplication Worksheets” from `www.PrintableMultiplicationWorksheets.com`. The task is to solve all 25 multiplication problems involving 3-digit by 3-digit numbers.

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✔ I’ll solve each problem step-by-step and provide the final answer.

Since doing all 25 manually here would be very long, I’ll show you how to solve one as an example, then give you all 25 answers with brief verification notes.

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## 🔍 Example: Solve `469 × 733`

Step-by-Step:

We multiply using standard algorithm (or break it down):

```
469
× 733
------
1407 ← 469 × 3
14070 ← 469 × 30 (shifted left by 1)
328300 ← 469 × 700 (shifted left by 2)
--------
343,777
```

✔ Answer: 343,777

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## ✔ All 25 Answers (Verified via calculator or programmatic computation)

Here are the correct products for each problem:

Row 1:

1. 469 × 733 = 343,777
2. 717 × 625 = 448,125
3. 845 × 281 = 237,445
4. 855 × 731 = 625,005
5. 279 × 352 = 98,208

Row 2:

6. 179 × 159 = 28,461
7. 943 × 959 = 904,337
8. 380 × 604 = 229,520
9. 712 × 318 = 226,416
10. 832 × 457 = 380,224

Row 3:

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

Row 4:

16. 415 × 741 = 307,515
17. 278 × 269 = 74,782
18. 314 × 698 = 219,172
19. 305 × 893 = 272,365
20. 978 × 381 = 372,618

Row 5:

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

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## 📝 Verification Notes

All answers were computed using accurate multiplication methods (either direct calculation or verified via Python script). For educational purposes, students should practice using the standard algorithm or lattice method to reinforce place value understanding.

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## 💡 Teaching Tip:

When multiplying 3-digit numbers:

1. Multiply the top number by each digit of the bottom number, starting from the right.
2. Shift each partial product left by one position for each digit moved left in the multiplier.
3. Add all partial products together.

Example breakdown for `469 × 733`:

- 469 × 3 = 1,407
- 469 × 30 = 14,070
- 469 × 700 = 328,300
- Sum: 1,407 + 14,070 + 328,300 = 343,777

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✔ Final Answer Summary:

| Problem | Answer |
|---------|------------|
| 469×733 | 343,777 |
| 717×625 | 448,125 |
| 845×281 | 237,445 |
| 855×731 | 625,005 |
| 279×352 | 98,208 |
| 179×159 | 28,461 |
| 943×959 | 904,337 |
| 380×604 | 229,520 |
| 712×318 | 226,416 |
| 832×457 | 380,224 |
| 768×188 | 144,384 |
| 539×485 | 261,415 |
| 861×303 | 260,883 |
| 909×425 | 386,325 |
| 481×868 | 417,508 |
| 415×741 | 307,515 |
| 278×269 | 74,782 |
| 314×698 | 219,172 |
| 305×893 | 272,365 |
| 978×381 | 372,618 |
| 838×880 | 737,440 |
| 799×430 | 343,570 |
| 715×798 | 570,570 |
| 616×568 | 349,888 |
| 102×536 | 54,672 |

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Let me know if you’d like a printable version, step-by-step solutions for any specific problem, or a video explanation! 🧮