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 to each addend.

Front

What is the Greatest Common Factor (GCF)?

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 find the GCF of 36 and 42?

Back

The GCF of 36 and 42 is 6, as it is the largest number that divides both 36 and 42.

Front

Rewrite 36 + 42 using the GCF.

Back

6(6 + 7) is the expression that uses the GCF to rewrite 36 + 42.

Front

What is the first step in using the Distributive Property?

Back

Identify the GCF of the numbers you want to factor out.

Front

Rewrite 16 + 24 using the GCF.

Back

8(2 + 3) is the expression that uses the GCF to rewrite 16 + 24.

Front

How can you express 10 + 20 using the Distributive Property?

Back

10 + 20 can be expressed as 2(5 + 10) using the Distributive Property.

Front

What is the result of applying the Distributive Property to 54 + 90?

Back

54 + 90 can be expressed as 18(3 + 5) using the Distributive Property.

Front

How do you rewrite 36 + 45 using the GCF?

Back

36 + 45 can be rewritten as 9(4 + 5) using the GCF.

Front

What does it mean to factor an expression?

Back

Factoring an expression means to express it as a product of its factors, often using the GCF.