3-digit by 2-digit Multiplication with Grid Support (A) - Free Printable

Let's solve each of the 3-digit by 2-digit multiplication problems on the grid. We'll go step-by-step for each one, showing how to use the grid method (also known as the standard algorithm with place value alignment).

---

🔢 Problem 1: 851 × 17

We break it down:
- Multiply 851 × 7 = 5957
- Multiply 851 × 10 = 8510
- Add: 5957 + 8510 = 14,467

```
851
× 17
-----
5957 ← 851 × 7
8510 ← 851 × 10
------
14467
```

✔ Answer: 14,467

---

🔢 Problem 2: 260 × 52

Break it down:
- 260 × 2 = 520
- 260 × 50 = 13,000
- Add: 520 + 13,000 = 13,520

```
260
× 52
-----
520 ← 260 × 2
13000 ← 260 × 50
------
13520
```

✔ Answer: 13,520

---

🔢 Problem 3: 512 × 71

- 512 × 1 = 512
- 512 × 70 = 35,840
- Add: 512 + 35,840 = 36,352

```
512
× 71
-----
512 ← 512 × 1
35840 ← 512 × 70
------
36352
```

✔ Answer: 36,352

---

🔢 Problem 4: 192 × 55

- 192 × 5 = 960
- 192 × 50 = 9,600
- Add: 960 + 9,600 = 10,560

```
192
× 55
-----
960 ← 192 × 5
9600 ← 192 × 50
------
10560
```

✔ Answer: 10,560

---

🔢 Problem 5: 501 × 31

- 501 × 1 = 501
- 501 × 30 = 15,030
- Add: 501 + 15,030 = 15,531

```
501
× 31
-----
501 ← 501 × 1
15030 ← 501 × 30
------
15531
```

✔ Answer: 15,531

---

🔢 Problem 6: 349 × 72

- 349 × 2 = 698
- 349 × 70 = 24,430
- Add: 698 + 24,430 = 25,128

```
349
× 72
-----
698 ← 349 × 2
24430 ← 349 × 70
------
25128
```

✔ Answer: 25,128

---

🔢 Problem 7: 926 × 65

- 926 × 5 = 4,630
- 926 × 60 = 55,560
- Add: 4,630 + 55,560 = 60,190

```
926
× 65
-----
4630 ← 926 × 5
55560 ← 926 × 60
------
60190
```

✔ Answer: 60,190

---

🔢 Problem 8: 975 × 76

- 975 × 6 = 5,850
- 975 × 70 = 68,250
- Add: 5,850 + 68,250 = 74,100

```
975
× 76
-----
5850 ← 975 × 6
68250 ← 975 × 70
------
74100
```

✔ Answer: 74,100

---

🔢 Problem 9: 423 × 51

- 423 × 1 = 423
- 423 × 50 = 21,150
- Add: 423 + 21,150 = 21,573

```
423
× 51
-----
423 ← 423 × 1
21150 ← 423 × 50
------
21573
```

✔ Answer: 21,573

---

🔢 Problem 10: 631 × 55

- 631 × 5 = 3,155
- 631 × 50 = 31,550
- Add: 3,155 + 31,550 = 34,705

```
631
× 55
-----
3155 ← 631 × 5
31550 ← 631 × 50
------
34705
```

✔ Answer: 34,705

---

🔢 Problem 11: 232 × 30

- 232 × 0 = 0
- 232 × 30 = 6,960
- So total = 6,960

```
232
× 30
-----
0 ← 232 × 0
6960 ← 232 × 30
------
6960
```

✔ Answer: 6,960

---

🔢 Problem 12: 262 × 14

- 262 × 4 = 1,048
- 262 × 10 = 2,620
- Add: 1,048 + 2,620 = 3,668

```
262
× 14
-----
1048 ← 262 × 4
2620 ← 262 × 10
------
3668
```

✔ Answer: 3,668

---

🔢 Problem 13: 642 × 73

- 642 × 3 = 1,926
- 642 × 70 = 44,940
- Add: 1,926 + 44,940 = 46,866

```
642
× 73
-----
1926 ← 642 × 3
44940 ← 642 × 70
------
46866
```

✔ Answer: 46,866

---

🔢 Problem 14: 348 × 35

- 348 × 5 = 1,740
- 348 × 30 = 10,440
- Add: 1,740 + 10,440 = 12,180

```
348
× 35
-----
1740 ← 348 × 5
10440 ← 348 × 30
------
12180
```

✔ Answer: 12,180

---

🔢 Problem 15: 113 × 41

- 113 × 1 = 113
- 113 × 40 = 4,520
- Add: 113 + 4,520 = 4,633

```
113
× 41
-----
113 ← 113 × 1
4520 ← 113 × 40
------
4633
```

✔ Answer: 4,633

---

🔢 Problem 16: 187 × 75

- 187 × 5 = 935
- 187 × 70 = 13,090
- Add: 935 + 13,090 = 14,025

```
187
× 75
-----
935 ← 187 × 5
13090 ← 187 × 70
------
14025
```

✔ Answer: 14,025

---

✔ Final Answers:

| Problem | Answer |
|--------|------------|
| 1 | 14,467 |
| 2 | 13,520 |
| 3 | 36,352 |
| 4 | 10,560 |
| 5 | 15,531 |
| 6 | 25,128 |
| 7 | 60,190 |
| 8 | 74,100 |
| 9 | 21,573 |
| 10 | 34,705 |
| 11 | 6,960 |
| 12 | 3,668 |
| 13 | 46,866 |
| 14 | 12,180 |
| 15 | 4,633 |
| 16 | 14,025 |

---

📝 How to Use the Grid:

Each box in the grid helps align digits properly:
- The top row is the first number (e.g., 851).
- The second row is the multiplier (e.g., 17).
- You multiply digit by digit and write partial products below.
- Then add them up using the grid columns.

This ensures correct place value alignment, especially important when carrying over.

Let me know if you'd like a printable version or a PDF with answers filled in!