Area Model & Exponents Practice

Front

What is the area model in mathematics?

Back

The area model is a visual representation used to show how to multiply numbers by breaking them into parts and arranging them in a rectangle.

Front

What do we need to do before using the area model?

Back

We need to put the numbers in expanded form.

Front

What is an exponent?

Back

An exponent is a number that shows how many times to multiply a number by itself.

Front

What does 2^3 mean?

Back

2^3 means 2 multiplied by itself 3 times: 2 x 2 x 2 = 8.

Front

How do you represent 5^2 using the area model?

Back

You can represent 5^2 as a square with each side measuring 5 units, showing that the area is 5 x 5 = 25.

Front

What is the product of 3^2 and 2^3?

Back

The product is 9 x 8 = 72.

Front

What is the first step in using the area model for multiplication?

Back

The first step is to break the numbers into expanded form.

Front

If you have 4^2, what is the area represented in the area model?

Back

The area is 4 x 4 = 16.

Front

What does the term 'expanded form' mean?

Back

Expanded form is writing a number as the sum of its parts, for example, 23 = 20 + 3.

Front

How can you use the area model to solve 12 x 15?

Back

Break 12 into 10 + 2 and 15 into 10 + 5, then create a rectangle with areas: (10x10) + (10x5) + (2x10) + (2x5) = 120 + 50 + 20 + 10 = 200.