Area model multiplication 2 digit by 2 digit

Front

What is area model multiplication?

Back

Area model multiplication is a visual method for multiplying numbers using rectangles to represent the factors. Each rectangle's area corresponds to a part of the multiplication.

Front

How do you set up an area model for 23 x 45?

Back

Break down 23 into 20 and 3, and 45 into 40 and 5. Draw a rectangle divided into four smaller rectangles: one for 20x40, one for 20x5, one for 3x40, and one for 3x5.

Front

What is the first step in area model multiplication?

Back

The first step is to decompose each number into tens and ones.

Front

Calculate the area of the rectangle representing 20 x 40 in the area model for 23 x 45.

Back

The area is 800.

Front

Calculate the area of the rectangle representing 20 x 5 in the area model for 23 x 45.

Back

The area is 100.

Front

Calculate the area of the rectangle representing 3 x 40 in the area model for 23 x 45.

Back

The area is 120.

Front

Calculate the area of the rectangle representing 3 x 5 in the area model for 23 x 45.

Back

The area is 15.

Front

What do you do after calculating the areas of all rectangles in the area model?

Back

Add all the areas together to find the total product.

Front

What is the total area when you add 800, 100, 120, and 15?

Back

The total area is 1035.

Front

What is the purpose of using an area model in multiplication?

Back

The area model helps visualize the multiplication process and understand how numbers are broken down and combined.