Let's solve each multiplication problem step by step. I'll show the calculations clearly and explain the process.
---
1) 3297 × 52
We'll break it down:
```
3297
× 52
------
6594 ← 3297 × 2
16485 ← 3297 × 50 (shifted one place to the left)
-------
171444
```
✔ Answer: 171,444
---
2) 1893 × 14
```
1893
× 14
------
7572 ← 1893 × 4
1893 ← 1893 × 10 (shifted)
-------
26502
```
✔ Answer: 26,502
---
3) 4422 × 73
Break into:
- 4422 × 3 = 13,266
- 4422 × 70 = 309,540
Add:
```
13266
+309540
-------
322806
```
✔ Answer: 322,806
---
4) 5052 × 33
Break into:
- 5052 × 3 = 15,156
- 5052 × 30 = 151,560
Add:
```
15156
+151560
-------
166716
```
✔ Answer: 166,716
---
5) 6954 × 16
Break into:
- 6954 × 6 = 41,724
- 6954 × 10 = 69,540
Add:
```
41724
+69540
-------
111264
```
✔ Answer: 111,264
---
6) 2324 × 45
Break into:
- 2324 × 5 = 11,620
- 2324 × 40 = 92,960
Add:
```
11620
+92960
-------
104580
```
✔ Answer: 104,580
---
7) 3085 × 46
Break into:
- 3085 × 6 = 18,510
- 3085 × 40 = 123,400
Add:
```
18510
+123400
-------
141910
```
✔ Answer: 141,910
---
8) 7491 × 27
Break into:
- 7491 × 7 = 52,437
- 7491 × 20 = 149,820
Add:
```
52437
+149820
-------
202257
```
✔ Answer: 202,257
---
9) 4253 × 58
Break into:
- 4253 × 8 = 34,024
- 4253 × 50 = 212,650
Add:
```
34024
+212650
-------
246674
```
✔ Answer: 246,674
---
10) 2174 × 52
Break into:
- 2174 × 2 = 4,348
- 2174 × 50 = 108,700
Add:
```
4348
+108700
-------
113048
```
✔ Answer: 113,048
---
11) 7256 × 39
Break into:
- 7256 × 9 = 65,304
- 7256 × 30 = 217,680
Add:
```
65304
+217680
-------
282984
```
✔ Answer: 282,984
---
12) 5923 × 11
Use trick: Multiply by 10 and add original:
- 5923 × 10 = 59,230
- Add 5923 → 59,230 + 5,923 = 65,153
✔ Answer: 65,153
---
✔ Final Answers:
| Problem | Answer |
|--------|--------------|
| 1 | 171,444 |
| 2 | 26,502 |
| 3 | 322,806 |
| 4 | 166,716 |
| 5 | 111,264 |
| 6 | 104,580 |
| 7 | 141,910 |
| 8 | 202,257 |
| 9 | 246,674 |
| 10 | 113,048 |
| 11 | 282,984 |
| 12 | 65,153 |
---
🔍 Explanation Summary:
Each problem uses
long multiplication, where we:
1. Multiply the number by each digit of the multiplier.
2. Shift results appropriately based on place value.
3. Add all partial products together.
For example:
In `3297 × 52`, you multiply:
- 3297 × 2 = 6594
- 3297 × 50 = 164,850
Then add: 6594 + 164,850 =
171,444
This method works for any multi-digit multiplication.
Let me know if you'd like a visual breakdown of any specific problem!
Parent Tip: Review the logic above to help your child master the concept of vertical multiplication worksheet grade 4.
