Complete the area model to solve multiplication problems using the distributive property.

Let’s work through each problem step by step using the area model.

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Problem 1: 12 × 16

We break 12 into 10 + 2
We break 16 into 10 + 6

Now multiply each part:

- 10 × 10 = 100
- 10 × 6 = 60
- 2 × 10 = 20
- 2 × 6 = 12

Add them up:
100 + 60 + 20 + 12 = 192

So,
12 × 16 = 100 + 60 + 20 + 12

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Problem 2: 11 × 14

Break 11 into 10 + 1
Break 14 into 10 + 4

Multiply each part:

- 10 × 10 = 100
- 10 × 4 = 40
- 1 × 10 = 10
- 1 × 4 = 4

Add them up:
100 + 40 + 10 + 4 = 154

So,
11 × 14 = 100 + 40 + 10 + 4

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Problem 3: 13 × 15

Break 13 into 10 + 3
Break 15 into 10 + 5

Multiply each part:

- 10 × 10 = 100
- 10 × 5 = 50
- 3 × 10 = 30
- 3 × 5 = 15

Add them up:
100 + 50 + 30 + 15 = 195

So,
13 × 15 = 100 + 50 + 30 + 15

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Final Answer:
1. 12 × 16 = 100 + 60 + 20 + 12
2. 11 × 14 = 100 + 40 + 10 + 4
3. 13 × 15 = 100 + 50 + 30 + 15