Printable math worksheet for practicing multiplication of 3-digit numbers by 3-digit numbers.

The task involves solving a series of multiplication problems where each problem requires multiplying a 3-digit number by another 3-digit number. Below, I will solve one example from each row to demonstrate the process, and then provide the final answers for all problems.

General Approach:

To multiply two 3-digit numbers, we use the standard long multiplication method:
1. Multiply the first number by each digit of the second number (starting from the right).
2. Shift the result one place to the left for each subsequent digit.
3. Add up all the intermediate results to get the final product.

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Example Solutions:

#### Row 1:
1. 831 × 562
- Step 1: Multiply 831 by 2: \( 831 \times 2 = 1662 \)
- Step 2: Multiply 831 by 6 (shift one place to the left): \( 831 \times 6 = 4986 \) → Write as 49860
- Step 3: Multiply 831 by 5 (shift two places to the left): \( 831 \times 5 = 4155 \) → Write as 415500
- Step 4: Add the results: \( 1662 + 49860 + 415500 = 467022 \)

Answer: \( 831 \times 562 = 467022 \)

#### Row 2:
2. 757 × 335
- Step 1: Multiply 757 by 5: \( 757 \times 5 = 3785 \)
- Step 2: Multiply 757 by 3 (shift one place to the left): \( 757 \times 3 = 2271 \) → Write as 22710
- Step 3: Multiply 757 by 3 (shift two places to the left): \( 757 \times 3 = 2271 \) → Write as 227100
- Step 4: Add the results: \( 3785 + 22710 + 227100 = 253595 \)

Answer: \( 757 \times 335 = 253595 \)

#### Row 3:
3. 422 × 744
- Step 1: Multiply 422 by 4: \( 422 \times 4 = 1688 \)
- Step 2: Multiply 422 by 4 (shift one place to the left): \( 422 \times 4 = 1688 \) → Write as 16880
- Step 3: Multiply 422 by 7 (shift two places to the left): \( 422 \times 7 = 2954 \) → Write as 295400
- Step 4: Add the results: \( 1688 + 16880 + 295400 = 314968 \)

Answer: \( 422 \times 744 = 314968 \)

#### Row 4:
4. 323 × 484
- Step 1: Multiply 323 by 4: \( 323 \times 4 = 1292 \)
- Step 2: Multiply 323 by 8 (shift one place to the left): \( 323 \times 8 = 2584 \) → Write as 25840
- Step 3: Multiply 323 by 4 (shift two places to the left): \( 323 \times 4 = 1292 \) → Write as 129200
- Step 4: Add the results: \( 1292 + 25840 + 129200 = 156332 \)

Answer: \( 323 \times 484 = 156332 \)

#### Row 5:
5. 271 × 206
- Step 1: Multiply 271 by 6: \( 271 \times 6 = 1626 \)
- Step 2: Multiply 271 by 0 (shift one place to the left): \( 271 \times 0 = 0 \) → Write as 0
- Step 3: Multiply 271 by 2 (shift two places to the left): \( 271 \times 2 = 542 \) → Write as 54200
- Step 4: Add the results: \( 1626 + 0 + 54200 = 55826 \)

Answer: \( 271 \times 206 = 55826 \)

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Final Answers for All Problems:

1. \( 831 \times 562 = 467022 \)
2. \( 832 \times 522 = 434184 \)
3. \( 804 \times 902 = 725008 \)
4. \( 331 \times 418 = 138358 \)
5. \( 150 \times 503 = 75450 \)
6. \( 757 \times 335 = 253595 \)
7. \( 364 \times 528 = 192792 \)
8. \( 912 \times 223 = 203576 \)
9. \( 606 \times 846 = 512316 \)
10. \( 675 \times 652 = 440100 \)
11. \( 422 \times 744 = 314968 \)
12. \( 751 \times 912 = 684552 \)
13. \( 950 \times 291 = 276450 \)
14. \( 334 \times 668 = 223112 \)
15. \( 895 \times 507 = 454165 \)
16. \( 323 \times 484 = 156332 \)
17. \( 434 \times 754 = 327236 \)
18. \( 902 \times 166 = 149532 \)
19. \( 516 \times 212 = 109592 \)
20. \( 472 \times 943 = 445576 \)
21. \( 271 \times 206 = 55826 \)
22. \( 650 \times 654 = 425100 \)
23. \( 500 \times 759 = 379500 \)
24. \( 888 \times 196 = 174048 \)
25. \( 945 \times 583 = 551435 \)

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Boxed Final Answer:

\[
\boxed{
\begin{aligned}
&467022, 434184, 725008, 138358, 75450, \\
&253595, 192792, 203576, 512316, 440100, \\
&314968, 684552, 276450, 223112, 454165, \\
&156332, 327236, 149532, 109592, 445576, \\
&55826, 425100, 379500, 174048, 551435
\end{aligned}
}
\]