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 multiplier across terms in parentheses.

Front

How can the distributive property be used to simplify expressions?

Back

By breaking apart a multiplication problem into smaller, easier parts, allowing for simpler addition or multiplication.

Front

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

Back

For example, 3(4 + 5) can be simplified to 3*4 + 3*5 = 12 + 15 = 27.

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 does it mean to break apart a multiplication problem?

Back

It means to express the multiplication as a sum of two or more simpler multiplication problems.

Front

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

Back

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

Front

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

Back

You can break it down as (7 x 3) + (7 x 3), which equals 21 + 21 = 42.

Front

What is the purpose of finding missing factors in an equation like 17 x 3 = ( ____ x 3) + ( 10 x ____ )?

Back

To understand how to decompose a multiplication into smaller parts that can be added together.

Front

How can the distributive property help in solving area problems?

Back

It allows you to calculate the total area by breaking complex shapes into simpler rectangles.

Front

What is the first step in applying the distributive property to an expression?

Back

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