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 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 is the missing factor in the equation 2 x 20 = (2 x ___) + (2 x 10)?

Back

The missing factor is 10.

Front

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

Back

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

Front

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

Back

The missing factors are 9 and 9.

Front

How do you solve 5 x 18 using the distributive property?

Back

You can break it down as 5(10 + 8) = 5(10) + 5(8) = 50 + 40 = 90.

Front

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

Back

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

Front

Can the distributive property be used with subtraction?

Back

Yes, it can be used with subtraction: a(b - c) = ab - ac.

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

How does the distributive property help in simplifying expressions?

Back

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