Multiplying using Area Models and Partial Products

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 make the multiplication process easier.

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 use an area model to multiply 4 x 379?

Back

Break 379 into 300 and 79. Then, multiply 4 by 300 to get 1200 and 4 by 79 to get 316. Add 1200 + 316 = 1516.

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 72 by 86, what are the partial products?

Back

The partial products are 6000 (70 x 80), 600 (70 x 6), 160 (2 x 80), and 12 (2 x 6).

Front

What does the box with a question mark represent in an area model?

Back

It represents the unknown value that needs to be calculated based on the area model.

Front

How do you find the total product using partial products?

Back

Add all the partial products together to find the total product.

Front

What is the significance of the number 3,600 in multiplication?

Back

It can represent a partial product in a multiplication problem, such as 72 x 50.

Front

What multiplication problem does the area model represent if it shows 4 x 370?

Back

It represents the multiplication of 4 by 370.

Front

What is the value of area A if it represents 1200 in an area model?

Back

Area A represents the partial product of 4 x 300.