3-digit by 2-digit Multiplication with Grid Support Including ... - Free Printable

Let's solve each of the 3-digit by 2-digit multiplication problems on the grid. I'll go through each one step-by-step, showing the multiplication process and using the grid method (also known as the standard algorithm) to ensure proper alignment.

---

🔢 Problem 1:

396 × 43

We break this into two parts:
- Multiply 396 × 3 = 1,188
- Multiply 396 × 40 = 15,840

Now add them:
```
1188
+15840
------
17028
```

✔ Answer: 17,028

---

🔢 Problem 2:

519 × 69

Break it down:
- 519 × 9 = 4,671
- 519 × 60 = 31,140

Add:
```
4671
+31140
------
35811
```

✔ Answer: 35,811

---

🔢 Problem 3:

808 × 27

- 808 × 7 = 5,656
- 808 × 20 = 16,160

Add:
```
5656
+16160
------
21816
```

✔ Answer: 21,816

---

🔢 Problem 4:

685 × 75

- 685 × 5 = 3,425
- 685 × 70 = 47,950

Add:
```
3425
+47950
------
51375
```

✔ Answer: 51,375

---

🔢 Problem 5:

162 × 86

- 162 × 6 = 972
- 162 × 80 = 12,960

Add:
```
972
+12960
------
13932
```

✔ Answer: 13,932

---

🔢 Problem 6:

683 × 14

- 683 × 4 = 2,732
- 683 × 10 = 6,830

Add:
```
2732
+ 6830
------
9562
```

✔ Answer: 9,562

---

🔢 Problem 7:

850 × 26

- 850 × 6 = 5,100
- 850 × 20 = 17,000

Add:
```
5100
+17000
------
22100
```

✔ Answer: 22,100

---

🔢 Problem 8:

869 × 25

- 869 × 5 = 4,345
- 869 × 20 = 17,380

Add:
```
4345
+17380
------
21725
```

✔ Answer: 21,725

---

🔢 Problem 9:

824 × 55

- 824 × 5 = 4,120
- 824 × 50 = 41,200

Add:
```
4120
+41200
------
45320
```

✔ Answer: 45,320

---

🔢 Problem 10:

748 × 46

- 748 × 6 = 4,488
- 748 × 40 = 29,920

Add:
```
4488
+29920
------
34408
```

✔ Answer: 34,408

---

🔢 Problem 11:

365 × 60

This is easier:
- 365 × 60 = 365 × 6 × 10 = 2,190 × 10 = 21,900

✔ Answer: 21,900

---

🔢 Problem 12:

285 × 10

Any number × 10 just adds a zero.

✔ Answer: 2,850

---

🔢 Problem 13:

360 × 80

- 360 × 8 = 2,880 → then × 10 = 28,800

✔ Answer: 28,800

---

🔢 Problem 14:

394 × 53

- 394 × 3 = 1,182
- 394 × 50 = 19,700

Add:
```
1182
+19700
------
20882
```

✔ Answer: 20,882

---

🔢 Problem 15:

873 × 58

- 873 × 8 = 6,984
- 873 × 50 = 43,650

Add:
```
6984
+43650
------
50634
```

✔ Answer: 50,634

---

🔢 Problem 16:

611 × 94

- 611 × 4 = 2,444
- 611 × 90 = 54,990

Add:
```
2444
+54990
------
57434
```

✔ Answer: 57,434

---

## ✔ Final Answers:

| Problem | Answer |
|--------|------------|
| 1 | 17,028 |
| 2 | 35,811 |
| 3 | 21,816 |
| 4 | 51,375 |
| 5 | 13,932 |
| 6 | 9,562 |
| 7 | 22,100 |
| 8 | 21,725 |
| 9 | 45,320 |
| 10 | 34,408 |
| 11 | 21,900 |
| 12 | 2,850 |
| 13 | 28,800 |
| 14 | 20,882 |
| 15 | 50,634 |
| 16 | 57,434 |

---

📝 How to Use the Grid:

- Each problem has a grid with rows for partial products.
- Write the first number (e.g., 396) on top.
- Multiply by the ones digit (3), write result below.
- Multiply by the tens digit (4), shift one place left.
- Add the results.

For example, in 396 × 43, you’d write:
```
396
× 43
------
1188 ← 396 × 3
1584 ← 396 × 40 (shifted left)
------
17028
```

You can fill in the grids accordingly.

Let me know if you'd like a printable version or visual grids filled out!