Multiplying using Area Models and Partial Product

Front

What is an area model in multiplication?

Back

An area model is a visual representation of multiplication that shows how to break numbers into parts to find the product.

Front

What are partial products?

Back

Partial products are the results of multiplying each digit of one number by each digit of another number, before adding them together to get the final product.

Front

How do you find the product of 54 x 9 using partial products?

Back

Break 54 into 50 and 4. Multiply 50 x 9 = 450 and 4 x 9 = 36. Add them together: 450 + 36 = 486.

Front

What is the value of the digit 2 in the number 24?

Back

The value of the digit 2 in 24 is 20, because it is in the tens place.

Front

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

Back

The first step is to break each number into its place values.

Front

If you multiply 30 by 4 using an area model, what are the partial products?

Back

The partial products are 30 x 4 = 120.

Front

What does the area of a rectangle represent in multiplication?

Back

The area of a rectangle represents the product of its length and width, which corresponds to the two numbers being multiplied.

Front

In the area model, what does each section represent?

Back

Each section represents a partial product based on the place values of the numbers being multiplied.

Front

How do you calculate the area of a rectangle?

Back

To calculate the area of a rectangle, multiply its length by its width.

Front

What is the product of 12 x 5 using the area model?

Back

Using the area model, 12 can be broken into 10 and 2. So, 10 x 5 = 50 and 2 x 5 = 10. The total is 50 + 10 = 60.