Long multiplication practice worksheet with eight problems.

Let's solve each of these multiplication problems using long multiplication. I'll go through each one step by step and explain the process.

---

1. 23 × 13

```
2 3
× 1 3
-----
6 9 ← 23 × 3 = 69
2 3 ← 23 × 10 = 230 (shifted one place left)
-----
2 9 9
```

✔ Answer: 299

---

2. 34 × 12

```
3 4
× 1 2
-----
6 8 ← 34 × 2 = 68
3 4 ← 34 × 10 = 340 (shifted)
-----
4 0 8
```

✔ Answer: 408

---

3. 45 × 12

```
4 5
× 1 2
-----
9 0 ← 45 × 2 = 90
4 5 ← 45 × 10 = 450 (shifted)
-----
5 4 0
```

✔ Answer: 540

---

4. 42 × 15

```
4 2
× 1 5
-----
2 1 0 ← 42 × 5 = 210
4 2 ← 42 × 10 = 420 (shifted)
-----
6 3 0
```

✔ Answer: 630

---

5. 44 × 23

```
4 4
× 2 3
-----
1 3 2 ← 44 × 3 = 132
8 8 ← 44 × 20 = 880 (shifted)
-----
1 0 1 2
```

✔ Answer: 1012

---

6. 41 × 32

```
4 1
× 3 2
-----
8 2 ← 41 × 2 = 82
1 2 3 ← 41 × 30 = 1230 (shifted)
-----
1 3 1 2
```

✔ Answer: 1312

---

7. 34 × 25

```
3 4
× 2 5
-----
1 7 0 ← 34 × 5 = 170
6 8 ← 34 × 20 = 680 (shifted)
-----
8 5 0
```

✔ Answer: 850

---

8. 54 × 35

```
5 4
× 3 5
-----
2 7 0 ← 54 × 5 = 270
1 6 2 ← 54 × 30 = 1620 (shifted)
-----
1 8 9 0
```

✔ Answer: 1890

---

✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 1. 23 × 13 | 299 |
| 2. 34 × 12 | 408 |
| 3. 45 × 12 | 540 |
| 4. 42 × 15 | 630 |
| 5. 44 × 23 | 1012 |
| 6. 41 × 32 | 1312 |
| 7. 34 × 25 | 850 |
| 8. 54 × 35 | 1890 |

---

🔍 Explanation of Long Multiplication:

In long multiplication:
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, and shift the result one place to the left.
3. Add the two results together.

For example, in 23 × 13:
- 23 × 3 = 69
- 23 × 10 = 230
- 69 + 230 = 299

This method works for any two-digit multiplication and helps keep track of place values.

Let me know if you'd like a visual version or printable worksheet!