Distributive Property

Front

What is the distributive property in mathematics?

Back

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

Front

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

Back

You can factor out the common term: 5(2 + 5) = 5(7) = 35.

Front

What are the missing factors in the equation 6 x 18 = (6 x ___ ) + ( 6 x ___ )?

Back

The missing factors are 9 and 9, since 6 x 9 + 6 x 9 = 6 x 18.

Front

How do you use the distributive property to solve (4x3)+(4x5)?

Back

Factor out the common term: 4(3 + 5) = 4(8) = 32.

Front

What is the missing factor in the equation 17 x 8 = (7 x 8) + (_?_ x 8)?

Back

The missing factor is 10, since 7 + 10 = 17.

Front

In the equation 2 x 20 = ( 2 x ___ ) + ( 2 x 10 ), what is the missing factor?

Back

The missing factor is 10, since 2 x 10 + 2 x 10 = 2 x 20.

Front

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

Back

An example is a(b - c) = ab - ac, where you distribute a across the difference.

Front

How can the distributive property help simplify calculations?

Back

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

Front

What is the first step in applying the distributive property?

Back

Identify the common factor that can be factored out from the terms.

Front

Can the distributive property be used with variables?

Back

Yes, the distributive property applies to variables just like it does to numbers.