# Interpret multiplication as scaling

Interpret multiplication as scaling (resizing), by: Comparing the size of a product to the size of one factor on the basis of the size of the other factor, without performing the indicated multiplication; and explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n × a)/(n × b) to the effect of multiplying a/b by 1.

## Lessons

• #### Interpret multiplication as scaling using visual models

In this lesson you will learn how to interpret multiplication as scaling by using visual models.

• #### Understand multiplication by a fraction equivalent to one

In this lesson you will learn how multiplying by a fraction equivalent to one affects the product by using visual models.

• #### Understand multiplication by a fraction greater than one

In this lesson you will learn how multiplying by a fraction greater than one affects the product by using visual models.

• #### Understand multiplication by a fraction less than one

In this lesson you will learn how multiplying by a fraction less than one affects the product by using visual models.

• #### Solve multiplication word problems by comparing the size of the product and factors

In this lesson you will learn how to solve word problems by comparing the size of the product to the size of the factors.