Multiplication worksheet for 3-digit by 2-digit numbers.

Let's solve each of the multiplication problems on Sheet 3: Multiplication – 3 Digits by 2 Digits step-by-step.

We'll use the standard algorithm for multiplication: multiply the 3-digit number by each digit of the 2-digit number (starting from the right), then add the partial products.

---

1) 584 × 46

```
584
× 46
-----
3504 ← 584 × 6
2336 ← 584 × 40 (shifted one place left)
-----
26744
```

✔ Answer: 26,744

---

2) 671 × 38

```
671
× 38
-----
5368 ← 671 × 8
2013 ← 671 × 30 (shifted left)
-----
25498
```

✔ Answer: 25,498

---

3) 807 × 54

```
807
× 54
-----
3228 ← 807 × 4
4035 ← 807 × 50 (shifted left)
-----
43578
```

✔ Answer: 43,578

---

4) 943 × 27

```
943
× 27
-----
6591 ← 943 × 7
1886 ← 943 × 20 (shifted left)
-----
25451
```

✔ Answer: 25,451

---

5) 648 × 19

```
648
× 19
-----
5832 ← 648 × 9
648 ← 648 × 10 (shifted left)
-----
12280
```

Wait — let’s double-check:

- 648 × 9 = 5,832 ✔
- 648 × 10 = 6,480 → but we're multiplying by 19 = 10 + 9

So:
```
648
× 19
-----
5832
6480
-----
12312
```

✔ Answer: 12,312

---

6) 428 × 49

```
428
× 49
-----
3852 ← 428 × 9
1712 ← 428 × 40 (shifted left)
-----
20972
```

✔ Answer: 20,972

---

7) 687 × 64

```
687
× 64
-----
2748 ← 687 × 4
4122 ← 687 × 60 (shifted left)
-----
43968
```

✔ Answer: 43,968

---

8) 489 × 56

```
489
× 56
-----
2934 ← 489 × 6
2445 ← 489 × 50 (shifted left)
-----
27384
```

✔ Answer: 27,384

---

9) 715 × 83

```
715
× 83
-----
2145 ← 715 × 3
5720 ← 715 × 80 (shifted left)
-----
59345
```

✔ Answer: 59,345

---

10) 973 × 66

```
973
× 66
-----
5838 ← 973 × 6
5838 ← 973 × 60 (shifted left)
-----
64218
```

Add:
5,838 + 58,380 = 64,218

✔ Answer: 64,218

---

11) 389 × 85

```
389
× 85
-----
1945 ← 389 × 5
3112 ← 389 × 80 (shifted left)
-----
33065
```

✔ Answer: 33,065

---

12) 583 × 97

```
583
× 97
-----
4081 ← 583 × 7
5247 ← 583 × 90 (shifted left)
-----
56551
```

Check:
583 × 97 = 583 × (100 - 3) = 58,300 - 1,749 = 56,551

✔ Answer: 56,551

---

✔ Final Answers:

| Problem | Answer |
|--------|------------|
| 1) | 26,744 |
| 2) | 25,498 |
| 3) | 43,578 |
| 4) | 25,451 |
| 5) | 12,312 |
| 6) | 20,972 |
| 7) | 43,968 |
| 8) | 27,384 |
| 9) | 59,345 |
| 10) | 64,218 |
| 11) | 33,065 |
| 12) | 56,551 |

---

🔍 Explanation Summary:

To multiply a 3-digit number by a 2-digit number:
1. Multiply the 3-digit number by the ones digit of the 2-digit number.
2. Multiply the 3-digit number by the tens digit of the 2-digit number (and shift one place to the left).
3. Add the two results.

This method uses place value and distributive property:
For example:
`584 × 46 = 584 × (40 + 6) = (584 × 40) + (584 × 6)`.

Let me know if you'd like these solutions formatted neatly in the worksheet style!