3-Digit by 3-Digit Multiplication Worksheet (A) - Printable math exercise for students.

The task involves solving a series of 3-digit by 3-digit multiplication problems. Below, I will solve one problem as an example and explain the process step-by-step. Then, I will provide the solutions for all the problems.

---

Example Problem: Solve \( 670 \times 171 \)

#### Step 1: Write the numbers vertically
```
670
× 171
```

#### Step 2: Multiply \( 670 \) by the units digit of \( 171 \) (which is 1)
```
670
× 1
------
670 (This is 670 × 1)
```

#### Step 3: Multiply \( 670 \) by the tens digit of \( 171 \) (which is 7), and shift the result one place to the left
```
670
× 7
------
4690 (This is 670 × 7, shifted one place to the left)
```

#### Step 4: Multiply \( 670 \) by the hundreds digit of \( 171 \) (which is 1), and shift the result two places to the left
```
670
× 1
------
67000 (This is 670 × 1, shifted two places to the left)
```

#### Step 5: Add the results from Steps 2, 3, and 4
```
670
4690
+67000
------
114570
```

So, \( 670 \times 171 = 114570 \).

---

Solutions for All Problems

1. \( 670 \times 171 = 114570 \)
2. \( 202 \times 446 = 90292 \)
3. \( 901 \times 506 = 456506 \)
4. \( 691 \times 829 = 573019 \)
5. \( 432 \times 388 = 167556 \)
6. \( 308 \times 512 = 157696 \)
7. \( 258 \times 340 = 87720 \)
8. \( 240 \times 775 = 186000 \)
9. \( 260 \times 682 = 177320 \)
10. \( 106 \times 794 = 84164 \)
11. \( 835 \times 694 = 579990 \)
12. \( 355 \times 706 = 250030 \)
13. \( 357 \times 218 = 77726 \)
14. \( 582 \times 164 = 95448 \)
15. \( 263 \times 582 = 153246 \)
16. \( 442 \times 170 = 75140 \)
17. \( 544 \times 773 = 420472 \)
18. \( 831 \times 935 = 778585 \)
19. \( 397 \times 742 = 294674 \)
20. \( 243 \times 882 = 214266 \)

---

Final Answer:

\[
\boxed{114570, 90292, 456506, 573019, 167556, 157696, 87720, 186000, 177320, 84164, 579990, 250030, 77726, 95448, 153246, 75140, 420472, 778585, 294674, 214266}
\]