Grade 6 multiplication worksheet focusing on multiplying 4-digit numbers by 2-digit numbers.

Let's solve each of the multiplication problems on the worksheet step by step. These are all 4-digit numbers multiplied by 2-digit numbers.

---

1. 2,032 × 83

We'll use the standard multiplication method:

```
2032
× 83
------
6096 ← 2032 × 3
16256 ← 2032 × 80 (shifted one place to the left)
-------
168656
```

✔ Answer: 168,656

---

2. 7,784 × 91

Break it down:
- 7,784 × 1 = 7,784
- 7,784 × 90 = 7,784 × 9 × 10 = 70,056 × 10 = 700,560

Now add:
```
7,784
+700,560
--------
708,344
```

✔ Answer: 708,344

---

3. 3,699 × 54

Break it into:
- 3,699 × 4 = 14,796
- 3,699 × 50 = 184,950

Add:
```
14,796
+184,950
--------
199,746
```

✔ Answer: 199,746

---

4. 9,836 × 22

Break it into:
- 9,836 × 2 = 19,672
- 9,836 × 20 = 196,720

Add:
```
19,672
+196,720
--------
216,392
```

✔ Answer: 216,392

---

5. 4,049 × 61

Break it into:
- 4,049 × 1 = 4,049
- 4,049 × 60 = 242,940

Add:
```
4,049
+242,940
--------
246,989
```

✔ Answer: 246,989

---

6. 7,514 × 14

Break it into:
- 7,514 × 4 = 30,056
- 7,514 × 10 = 75,140

Add:
```
30,056
+ 75,140
--------
105,196
```

✔ Answer: 105,196

---

7. 4,064 × 40

This is easy:
- 4,064 × 40 = 4,064 × 4 × 10 = 16,256 × 10 = 162,560

✔ Answer: 162,560

---

8. 9,124 × 20

Again, simple:
- 9,124 × 20 = 9,124 × 2 × 10 = 18,248 × 10 = 182,480

✔ Answer: 182,480

---

9. 2,940 × 56

Break it into:
- 2,940 × 6 = 17,640
- 2,940 × 50 = 147,000

Add:
```
17,640
+147,000
--------
164,640
```

✔ Answer: 164,640

---

✔ Final Answers:

1. 168,656
2. 708,344
3. 199,746
4. 216,392
5. 246,989
6. 105,196
7. 162,560
8. 182,480
9. 164,640

---

🔍 Explanation:

To multiply a 4-digit number by a 2-digit number, we use the standard algorithm:
1. Multiply the 4-digit number by the ones digit of the 2-digit number.
2. Multiply the 4-digit number by the tens digit of the 2-digit number (and shift one place to the left).
3. Add the two results.

For example, in 2,032 × 83:
- First: 2,032 × 3 = 6,096
- Second: 2,032 × 80 = 162,560
- Sum: 6,096 + 162,560 = 168,656

This method works for all problems above.

Let me know if you'd like a visual breakdown of any specific problem!