Let's solve each multiplication problem using the
Area Model method. The area model breaks down multiplication into smaller, more manageable parts by using place value.
We'll go through each problem step-by-step.
---
1. 34 × 23
Break down:
- 34 = 30 + 4
- 23 = 20 + 3
Now create a grid:
```
20 3
-----------------
30 | 600 | 90
-----------------
4 | 80 | 12
-----------------
```
Now add:
- 600 + 90 = 690
- 80 + 12 = 92
- Total: 690 + 92 =
782
✔ Answer: 782
---
2. 40 × 32
Break down:
- 40 = 40 (already a multiple of 10)
- 32 = 30 + 2
Grid:
```
30 2
-----------------
40 | 1200 | 80
-----------------
```
Add:
- 1200 + 80 =
1280
✔ Answer: 1280
---
3. 58 × 27
Break down:
- 58 = 50 + 8
- 27 = 20 + 7
Grid:
```
20 7
-----------------
50 | 1000 | 350
-----------------
8 | 160 | 56
-----------------
```
Add:
- 1000 + 350 = 1350
- 160 + 56 = 216
- Total: 1350 + 216 =
1566
✔ Answer: 1566
---
4. 83 × 19
Break down:
- 83 = 80 + 3
- 19 = 10 + 9
Grid:
```
10 9
-----------------
80 | 800 | 720
-----------------
3 | 30 | 27
-----------------
```
Add:
- 800 + 720 = 1520
- 30 + 27 = 57
- Total: 1520 + 57 =
1577
✔ Answer: 1577
---
5. 34 × 44
Break down:
- 34 = 30 + 4
- 44 = 40 + 4
Grid:
```
40 4
-----------------
30 | 1200 | 120
-----------------
4 | 160 | 16
-----------------
```
Add:
- 1200 + 120 = 1320
- 160 + 16 = 176
- Total: 1320 + 176 =
1496
✔ Answer: 1496
---
6. 62 × 15
Break down:
- 62 = 60 + 2
- 15 = 10 + 5
Grid:
```
10 5
-----------------
60 | 600 | 300
-----------------
2 | 20 | 10
-----------------
```
Add:
- 600 + 300 = 900
- 20 + 10 = 30
- Total: 900 + 30 =
930
✔ Answer: 930
---
✔ Final Answers:
| Problem | Area Model Steps | Answer |
|---------------|--------------------------------------------------------|--------|
| 34 × 23 | 600 + 90 + 80 + 12 = 782 | 782 |
| 40 × 32 | 1200 + 80 = 1280 | 1280 |
| 58 × 27 | 1000 + 350 + 160 + 56 = 1566 | 1566 |
| 83 × 19 | 800 + 720 + 30 + 27 = 1577 | 1577 |
| 34 × 44 | 1200 + 120 + 160 + 16 = 1496 | 1496 |
| 62 × 15 | 600 + 300 + 20 + 10 = 930 | 930 |
---
📝 How to Fill in the Worksheet:
For each box, fill in the partial products inside the squares and add them on the right side.
#### Example for 34 × 23:
```
20 3
---------------
30 | 600 | 90
---------------
4 | 80 | 12
---------------
+ 600
+ 90
+ 80
+ 12
-------
782
```
Repeat this pattern for all others.
Let me know if you'd like a printable version or visual diagram!
Parent Tip: Review the logic above to help your child master the concept of area model multiplication worksheets.