Multiplication practice worksheet with nine problems and a solved example.

You're working on a worksheet that teaches multi-digit multiplication using the partial products method — breaking down the multiplier into its tens and ones place, multiplying each part separately, and then adding the results.

Let’s solve problems 2 through 9 step by step, following the same format as problem #1.

---

Problem 2: 62 × 23

Break 23 into 20 + 3.

- First, multiply 62 × 3 = 186
- Then, multiply 62 × 20 = 1240 (shift one place left — add a zero)
- Add them: 186 + 1240 = 1426

✔ Answer: 1426

```
6 2
x 2 3
-----
1 8 6 ← 62 × 3
1 2 4 0 ← 62 × 20
-------
1 4 2 6
```

---

Problem 3: 42 × 22

Break 22 into 20 + 2.

- 42 × 2 = 84
- 42 × 20 = 840
- Add: 84 + 840 = 924

✔ Answer: 924

```
4 2
x 2 2
-----
8 4 ← 42 × 2
8 4 0 ← 42 × 20
-------
9 2 4
```

---

Problem 4: 82 × 45

Break 45 into 40 + 5.

- 82 × 5 = 410
- 82 × 40 = 3280
- Add: 410 + 3280 = 3690

✔ Answer: 3690

```
8 2
x 4 5
-----
4 1 0 ← 82 × 5
3 2 8 0 ← 82 × 40
-------
3 6 9 0
```

---

Problem 5: 17 × 62

Break 62 into 60 + 2.

- 17 × 2 = 34
- 17 × 60 = 1020
- Add: 34 + 1020 = 1054

✔ Answer: 1054

```
1 7
x 6 2
-----
3 4 ← 17 × 2
1 0 2 0 ← 17 × 60
-------
1 0 5 4
```

---

Problem 6: 68 × 41

Break 41 into 40 + 1.

- 68 × 1 = 68
- 68 × 40 = 2720
- Add: 68 + 2720 = 2788

✔ Answer: 2788

```
6 8
x 4 1
-----
6 8 ← 68 × 1
2 7 2 0 ← 68 × 40
-------
2 7 8 8
```

---

Problem 7: 121 × 22

Break 22 into 20 + 2.

- 121 × 2 = 242
- 121 × 20 = 2420
- Add: 242 + 2420 = 2662

✔ Answer: 2662

```
1 2 1
x 2 2
-------
2 4 2 ← 121 × 2
2 4 2 0 ← 121 × 20
-------
2 6 6 2
```

---

Problem 8: 223 × 23

Break 23 into 20 + 3.

- 223 × 3 = 669
- 223 × 20 = 4460
- Add: 669 + 4460 = 5129

✔ Answer: 5129

```
2 2 3
x 2 3
-------
6 6 9 ← 223 × 3
4 4 6 0 ← 223 × 20
-------
5 1 2 9
```

---

Problem 9: 411 × 32

Break 32 into 30 + 2.

- 411 × 2 = 822
- 411 × 30 = 12330
- Add: 822 + 12330 = 13152

✔ Answer: 13152

```
4 1 1
x 3 2
-------
8 2 2 ← 411 × 2
1 2 3 3 0 ← 411 × 30
-------
1 3 1 5 2
```

---

## ✔ Final Answers:

2. 1426
3. 924
4. 3690
5. 1054
6. 2788
7. 2662
8. 5129
9. 13152

---

## 💡 Teaching Tip:
This method reinforces place value understanding and helps students see *why* we shift numbers when multiplying by tens or hundreds. It’s a great foundation before moving to the standard algorithm!

Let me know if you’d like a printable version or more practice!