Distributive Property

Front

What is the distributive property in mathematics?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.

Front

How can you express 17 x 3 using the distributive property?

Back

17 x 3 can be expressed as (10 x 3) + (7 x 3).

Front

What are the missing factors in the equation 17 x 3 = ( ____ x 3) + ( 10 x ____ )?

Back

The missing factors are 7 and 3.

Front

How can you break apart the expression 8 x 8 using the distributive property?

Back

You can break it apart as (8 x 2) + (8 x 6).

Front

What is the result of breaking apart 7 x 6 using the distributive property?

Back

7 x 6 can be expressed as (7 x 3) + (7 x 3), which equals 42.

Front

In the equation 6 x 18 = (6 x _?_) + (6 x 10), what is the missing factor?

Back

The missing factor is 8.

Front

How do you apply the distributive property to the expression (5x2)+(5x5)?

Back

You can combine the terms to get 5 x (2 + 5) = 5 x 7 = 35.

Front

What is an example of using the distributive property with variables?

Back

An example is a(b + c) = ab + ac, where a, b, and c are variables.

Front

How can the distributive property help in simplifying expressions?

Back

It allows you to break down complex expressions into simpler parts, making calculations easier.

Front

What is the first step in using the distributive property?

Back

Identify the common factor that can be distributed across the terms.