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Multiplication Area Model worksheet with six two-digit multiplication problems using the area model method.

Multiplication Area Model worksheet with six problems using the area model method for multiplying two-digit numbers.

Multiplication Area Model worksheet with six problems using the area model method for multiplying two-digit numbers.

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Show Answer Key & Explanations Step-by-step solution for: Box method multiplication worksheets PDF | Partial product
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.
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