Three-digit multiplication practice worksheet for students to solve and show their work.

Let's solve each of the three-digit multiplication problems step by step. I'll show the work for each one using the standard algorithm (also known as long multiplication).

---

1. 361 × 112

```
361
×112
-----
722 ← 361 × 2
3610 ← 361 × 10 (shifted one place left)
36100 ← 361 × 100 (shifted two places left)
-------
40432
```

Answer: 40,432

---

2. 773 × 290

Note: 290 = 29 × 10 → We can multiply by 29 first, then add a zero.

But let's do it directly:

```
773
×290
-----
0 ← 773 × 0
6957 ← 773 × 90 = 773 × 9 × 10 = 6957 × 10 = 69,570
15460 ← 773 × 200 = 773 × 2 × 100 = 1,546 × 100 = 154,600
--------
224,170
```

Wait — better to align properly:

```
773
×290
-----
0 ← 773 × 0
69570 ← 773 × 90 = 773 × 9 = 6,957 → ×10 → 69,570
154600 ← 773 × 200 = 773 × 2 = 1,546 → ×100 → 154,600
--------
224,170
```

Answer: 224,170

---

3. 485 × 221

```
485
×221
-----
485 ← 485 × 1
970 ← 485 × 20 = 9,700 (shifted left)
9700 ← 485 × 200 = 97,000 (shifted two places left)
--------
107,285
```

Add them:

- 485 + 9,700 = 10,185
- 10,185 + 97,000 = 107,185

Wait — let’s compute accurately:

```
485
×221
-----
485 ← 485 × 1
970 ← 485 × 20 = 9,700 (write as 970 with one shift)
9700 ← 485 × 200 = 97,000 (two shifts)

Now:
485
9700
97000
------
107,185
```

Yes: 485 + 9,700 = 10,185; 10,185 + 97,000 = 107,185

Answer: 107,185

---

4. 894 × 203

```
894
×203
-----
2682 ← 894 × 3
0 ← 894 × 0 (tens place)
178800 ← 894 × 200 = 178,800
--------
181,482
```

Add:
2,682 + 178,800 = 181,482

Answer: 181,482

---

5. 142 × 425

```
142
×425
-----
710 ← 142 × 5
284 ← 142 × 20 = 2,840 (shifted)
568 ← 142 × 400 = 56,800 (shifted two places)
--------
60,250
```

Breakdown:

- 142 × 5 = 710
- 142 × 20 = 2,840
- 142 × 400 = 56,800

Now sum:

710 + 2,840 = 3,550
3,550 + 56,800 = 60,350

Wait — check again:

Actually:

```
142
×425
-----
710 ← 142 × 5
2840 ← 142 × 20
56800 ← 142 × 400
--------
60,350
```

Yes: 710 + 2,840 = 3,550; 3,550 + 56,800 = 60,350

Answer: 60,350

---

6. 864 × 332

```
864
×332
-----
1728 ← 864 × 2
2592 ← 864 × 30 = 25,920
25920 ← 864 × 300 = 259,200
--------
287,248
```

Now add:

- 1,728 + 25,920 = 27,648
- 27,648 + 259,200 = 286,848

Wait — let's do it properly:

```
864
×332
-----
1728 ← 864 × 2
25920 ← 864 × 30
259200 ← 864 × 300
---------
286,848
```

Add:

1,728 + 25,920 = 27,648
27,648 + 259,200 = 286,848

Answer: 286,848

---

7. 322 × 949

```
322
×949
-----
2898 ← 322 × 9
1288 ← 322 × 40 = 12,880
28980 ← 322 × 900 = 289,800
--------
305,578
```

Add:

- 2,898 + 12,880 = 15,778
- 15,778 + 289,800 = 305,578

Answer: 305,578

---

8. 551 × 156

```
551
×156
-----
3306 ← 551 × 6
2755 ← 551 × 50 = 27,550
5510 ← 551 × 100 = 55,100
--------
86,956
```

Add:

- 3,306 + 27,550 = 30,856
- 30,856 + 55,100 = 85,956

Wait — double-check:

```
551
×156
-----
3306 ← 551 × 6
27550 ← 551 × 50
55100 ← 551 × 100
--------
85,956
```

3,306 + 27,550 = 30,856
30,856 + 55,100 = 85,956

Answer: 85,956

---

9. 215 × 264

```
215
×264
-----
860 ← 215 × 4
1290 ← 215 × 60 = 12,900
4300 ← 215 × 200 = 43,000
--------
56,760
```

Add:

- 860 + 12,900 = 13,760
- 13,760 + 43,000 = 56,760

Answer: 56,760

---

10. 536 × 856

```
536
×856
-----
3216 ← 536 × 6
2680 ← 536 × 50 = 26,800
42880 ← 536 × 800 = 428,800
--------
458,816
```

Add:

- 3,216 + 26,800 = 29,016
- 29,016 + 428,800 = 457,816

Wait — let's verify:

536 × 856:

We can compute:

536 × 800 = 428,800
536 × 50 = 26,800
536 × 6 = 3,216

Sum: 428,800 + 26,800 = 455,600
455,600 + 3,216 = 458,816

Answer: 458,816

---

11. 724 × 123

```
724
×123
-----
2172 ← 724 × 3
1448 ← 724 × 20 = 14,480
7240 ← 724 × 100 = 72,400
--------
89,152
```

Add:

- 2,172 + 14,480 = 16,652
- 16,652 + 72,400 = 89,052

Wait — check:

724 × 123:

724 × 100 = 72,400
724 × 20 = 14,480
724 × 3 = 2,172

Total: 72,400 + 14,480 = 86,880
86,880 + 2,172 = 89,052

Answer: 89,052

---

12. 184 × 566

```
184
×566
-----
1104 ← 184 × 6
1104 ← 184 × 60 = 11,040
9200 ← 184 × 500 = 92,000
--------
104,144
```

Add:

- 1,104 + 11,040 = 12,144
- 12,144 + 92,000 = 104,144

Check:

184 × 566:

184 × 500 = 92,000
184 × 60 = 11,040
184 × 6 = 1,104

Sum: 92,000 + 11,040 = 103,040
103,040 + 1,104 = 104,144

Answer: 104,144

---

✔ Final Answers:

| Problem | Answer |
|--------|--------|
| 361 × 112 | 40,432 |
| 773 × 290 | 224,170 |
| 485 × 221 | 107,185 |
| 894 × 203 | 181,482 |
| 142 × 425 | 60,350 |
| 864 × 332 | 286,848 |
| 322 × 949 | 305,578 |
| 551 × 156 | 85,956 |
| 215 × 264 | 56,760 |
| 536 × 856 | 458,816 |
| 724 × 123 | 89,052 |
| 184 × 566 | 104,144 |

Let me know if you'd like these written out in full on paper format!