How to do an area model?

The area model is a visual method for multiplying numbers, especially useful for multi-digit numbers. It breaks down the multiplication into smaller, more manageable parts.

Steps to Perform Area Model Multiplication:

1. Break down the numbers: Decompose each factor into its expanded form (e.g., 27 becomes 20 + 7).
2. Create a rectangle: Draw a rectangle and divide it into smaller rectangles based on the expanded form of the numbers.
3. Multiply each part: Multiply the values corresponding to each smaller rectangle.
   • For example, if multiplying 7 by 27 (20 + 7), you'd first multiply 7 by 20.
   • Then, you'd multiply 7 by 7.
4. Add the products: Sum the products from each smaller rectangle to get the final product. In our example, you would add (7 20) + (7 7).

Example: 7 x 27

Here's how to do 7 x 27 using the area model, based on the video reference:

1. Break down 27: 27 is broken down into 20 + 7.
2. Area Model Multiplication:
   • Multiply 7 by 20.
   • Multiply 7 by 7.
3. Calculate the Products:
   • 7 * 20 = 140
   • 7 * 7 = 49
4. Add the products: 140 + 49 = 189

Therefore, 7 x 27 = 189.