Distributive Property

Front

What is the Distributive Property?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication across the addends.

Front

What is the GCF (Greatest Common Factor)?

Back

The GCF of two or more numbers is the largest number that divides all of them without leaving a remainder.

Front

How do you apply the Distributive Property to 24 + 30?

Back

You can factor out the GCF, which is 6, to rewrite it as 6(4 + 5).

Front

What is the missing factor in the equation 30 + 12 = __(5 + 2)?

Back

The missing factor is 6.

Front

How do you find the total area of a rectangle with length 10 and width 7 using the Distributive Property?

Back

You can express the area as 9(10 + 7).

Front

What is the result of applying the Distributive Property to 10 + 20?

Back

You can rewrite it as 2(5 + 10).

Front

If you have 3(4 + 5), what is the expanded form?

Back

The expanded form is 3*4 + 3*5 = 12 + 15.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to break it down into simpler components that, when multiplied together, give the original expression.

Front

How can you use the Distributive Property to simplify 5(2 + 3)?

Back

You can distribute to get 5*2 + 5*3 = 10 + 15.

Front

What is an example of using the GCF in the expression 18 + 24?

Back

The GCF is 6, so you can rewrite it as 6(3 + 4).