# How to Use Area Models and the Distributive Property to Multiply?

Multiplying using area models and the distributive property is a visual and conceptual way to understand multiplication.

## A Step-by-step Guide to Use Area Models and the Distributive Property to Multiply

Here are the steps to use these methods:

### Step 1: Understand the Area Model:

An area model is a rectangle that represents the two numbers being multiplied.

The length of the rectangle represents one factor, and the width represents the other. The area of the rectangle represents the product.

### Step 2: Break down the Numbers:

To use the distributive property, you need to break down the numbers into smaller parts.

### Step 3: Use the Distributive Property:

Once you have broken down the numbers, you can use the distributive property to multiply.

### Step 4: Draw the Area Model:

To use the area model, draw a rectangle with the length and width representing the two factors. Then divide the rectangle into smaller rectangles to match the parts from the distributive property.

### Step 5: Multiply and Add:

Finally, multiply each part separately and then add the products together to get the final product.

### Using Area Models and the Distributive Property to Multiply – Example 1:

Use the area model to multiply \(24 × 4\).

#### Solution:

**Step 1:** Break down the numbers: \(24 = 20 + 4\)

**Step 2:** Use the distributive property: \(24 × 4 = (20 × 4) + (4 × 4)\)

**Step 3:** Draw the area model with smaller rectangles:

**Step 4:** Multiply and add:

\(20 × 4 = 80\)

\(4 × 4 = 16\)

\(80 + 16 = 96\)

Therefore, \(24 × 4 = 96\).

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