Multiplication practice worksheet with various two- and three-digit multiplication problems.
A math worksheet with multiplication problems, including numbers like 187 x 326, 758 x 587, and others, arranged in a grid format with spaces for name, date, teacher, and score.
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit by 3 Digit Multiplication Worksheets-Exam Math Multiplication
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Show Answer Key & Explanations
Step-by-step solution for: 3 Digit by 3 Digit Multiplication Worksheets-Exam Math Multiplication
The image you've uploaded contains a worksheet with 30 multiplication problems, each involving two 3-digit numbers. The task is to solve each multiplication problem.
Below, I'll go through each problem and provide the correct answer, along with a brief explanation of how to approach these types of problems.
---
To multiply two 3-digit numbers (e.g., $ 187 \times 326 $), follow these steps:
1. Multiply the top number by the ones digit of the bottom number.
2. Multiply the top number by the tens digit of the bottom number (shift one place to the left).
3. Multiply the top number by the hundreds digit of the bottom number (shift two places to the left).
4. Add all three results together.
Let’s solve each problem step-by-step.
---
#### Row 1:
1. $ 187 \times 326 = 60,842 $
2. $ 758 \times 587 = 444,946 $
3. $ 125 \times 322 = 40,250 $
4. $ 323 \times 987 = 319,101 $
5. $ 457 \times 685 = 312,145 $
6. $ 487 \times 265 = 129,555 $
#### Row 2:
7. $ 165 \times 432 = 71,280 $
8. $ 444 \times 765 = 339,540 $
9. $ 254 \times 324 = 82,396 $
10. $ 548 \times 765 = 419,120 $
11. $ 387 \times 123 = 47,601 $
12. $ 798 \times 876 = 699,148 $
#### Row 3:
13. $ 543 \times 765 = 415,395 $
14. $ 654 \times 675 = 440,550 $
15. $ 476 \times 432 = 205,712 $
16. $ 325 \times 325 = 105,625 $
17. $ 124 \times 176 = 21,824 $
18. $ 987 \times 987 = 974,169 $
#### Row 4:
19. $ 765 \times 843 = 644,595 $
20. $ 675 \times 675 = 455,625 $
21. $ 453 \times 543 = 245,359 $
22. $ 333 \times 332 = 109,956 $
23. $ 109 \times 235 = 25,615 $
24. $ 987 \times 987 = 974,169 $ ← Same as #18
#### Row 5:
25. $ 222 \times 303 = 67,266 $
26. $ 326 \times 480 = 156,480 $
27. $ 543 \times 589 = 318,627 $
28. $ 432 \times 777 = 335,564 $
29. $ 654 \times 876 = 572,304 $
30. $ 765 \times 965 = 737,775 $
#### Row 6:
31. $ 322 \times 300 = 96,600 $
32. $ 599 \times 449 = 269,151 $
33. $ 656 \times 567 = 371,632 $
34. $ 887 \times 765 = 677,505 $
35. $ 932 \times 876 = 816,332 $
36. $ 223 \times 221 = 49,183 $
---
| Problem | Answer |
|--------|--------------|
| 1 | 60,842 |
| 2 | 444,946 |
| 3 | 40,250 |
| 4 | 319,101 |
| 5 | 312,145 |
| 6 | 129,555 |
| 7 | 71,280 |
| 8 | 339,540 |
| 9 | 82,396 |
| 10 | 419,120 |
| 11 | 47,601 |
| 12 | 699,148 |
| 13 | 415,395 |
| 14 | 440,550 |
| 15 | 205,712 |
| 16 | 105,625 |
| 17 | 21,824 |
| 18 | 974,169 |
| 19 | 644,595 |
| 20 | 455,625 |
| 21 | 245,359 |
| 22 | 109,956 |
| 23 | 25,615 |
| 24 | 974,169 |
| 25 | 67,266 |
| 26 | 156,480 |
| 27 | 318,627 |
| 28 | 335,564 |
| 29 | 572,304 |
| 30 | 737,775 |
| 31 | 96,600 |
| 32 | 269,151 |
| 33 | 371,632 |
| 34 | 677,505 |
| 35 | 816,332 |
| 36 | 49,183 |
---
- Use column multiplication (standard algorithm) for accuracy.
- Break down larger multiplications using distributive property:
Example: $ 187 \times 326 = 187 \times (300 + 20 + 6) $
- Always check your work by estimating:
$ 187 \times 326 \approx 200 \times 300 = 60,000 $ → close to 60,842 ✔
---
Would you like me to generate a printable version of this worksheet with answers filled in? Or perhaps explain any specific problem in detail?
Below, I'll go through each problem and provide the correct answer, along with a brief explanation of how to approach these types of problems.
---
🔢 Multiplication Strategy (Standard Algorithm):
To multiply two 3-digit numbers (e.g., $ 187 \times 326 $), follow these steps:
1. Multiply the top number by the ones digit of the bottom number.
2. Multiply the top number by the tens digit of the bottom number (shift one place to the left).
3. Multiply the top number by the hundreds digit of the bottom number (shift two places to the left).
4. Add all three results together.
Let’s solve each problem step-by-step.
---
✔ Solved Problems:
#### Row 1:
1. $ 187 \times 326 = 60,842 $
2. $ 758 \times 587 = 444,946 $
3. $ 125 \times 322 = 40,250 $
4. $ 323 \times 987 = 319,101 $
5. $ 457 \times 685 = 312,145 $
6. $ 487 \times 265 = 129,555 $
#### Row 2:
7. $ 165 \times 432 = 71,280 $
8. $ 444 \times 765 = 339,540 $
9. $ 254 \times 324 = 82,396 $
10. $ 548 \times 765 = 419,120 $
11. $ 387 \times 123 = 47,601 $
12. $ 798 \times 876 = 699,148 $
#### Row 3:
13. $ 543 \times 765 = 415,395 $
14. $ 654 \times 675 = 440,550 $
15. $ 476 \times 432 = 205,712 $
16. $ 325 \times 325 = 105,625 $
17. $ 124 \times 176 = 21,824 $
18. $ 987 \times 987 = 974,169 $
#### Row 4:
19. $ 765 \times 843 = 644,595 $
20. $ 675 \times 675 = 455,625 $
21. $ 453 \times 543 = 245,359 $
22. $ 333 \times 332 = 109,956 $
23. $ 109 \times 235 = 25,615 $
24. $ 987 \times 987 = 974,169 $ ← Same as #18
#### Row 5:
25. $ 222 \times 303 = 67,266 $
26. $ 326 \times 480 = 156,480 $
27. $ 543 \times 589 = 318,627 $
28. $ 432 \times 777 = 335,564 $
29. $ 654 \times 876 = 572,304 $
30. $ 765 \times 965 = 737,775 $
#### Row 6:
31. $ 322 \times 300 = 96,600 $
32. $ 599 \times 449 = 269,151 $
33. $ 656 \times 567 = 371,632 $
34. $ 887 \times 765 = 677,505 $
35. $ 932 \times 876 = 816,332 $
36. $ 223 \times 221 = 49,183 $
---
✔ Final Answers (All):
| Problem | Answer |
|--------|--------------|
| 1 | 60,842 |
| 2 | 444,946 |
| 3 | 40,250 |
| 4 | 319,101 |
| 5 | 312,145 |
| 6 | 129,555 |
| 7 | 71,280 |
| 8 | 339,540 |
| 9 | 82,396 |
| 10 | 419,120 |
| 11 | 47,601 |
| 12 | 699,148 |
| 13 | 415,395 |
| 14 | 440,550 |
| 15 | 205,712 |
| 16 | 105,625 |
| 17 | 21,824 |
| 18 | 974,169 |
| 19 | 644,595 |
| 20 | 455,625 |
| 21 | 245,359 |
| 22 | 109,956 |
| 23 | 25,615 |
| 24 | 974,169 |
| 25 | 67,266 |
| 26 | 156,480 |
| 27 | 318,627 |
| 28 | 335,564 |
| 29 | 572,304 |
| 30 | 737,775 |
| 31 | 96,600 |
| 32 | 269,151 |
| 33 | 371,632 |
| 34 | 677,505 |
| 35 | 816,332 |
| 36 | 49,183 |
---
📝 Tips for Solving These:
- Use column multiplication (standard algorithm) for accuracy.
- Break down larger multiplications using distributive property:
Example: $ 187 \times 326 = 187 \times (300 + 20 + 6) $
- Always check your work by estimating:
$ 187 \times 326 \approx 200 \times 300 = 60,000 $ → close to 60,842 ✔
---
Would you like me to generate a printable version of this worksheet with answers filled in? Or perhaps explain any specific problem in detail?
Parent Tip: Review the logic above to help your child master the concept of free three digit multiplication worksheet.