Distributive Property with GCF

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 40 and 75?

Back

The GCF of 40 and 75 is 5, as it is the largest number that divides both 40 and 75.

Front

What is the equivalent expression for 40 + 75 using the Distributive Property?

Back

The expression can be written as 5(8 + 15).

Front

If 30 + 48 = 6(5 + □), what is the missing number?

Back

The missing number is 8.

Front

How can you express 18 + 30 using the Distributive Property?

Back

You can express it as 6(3 + 5).

Front

What is the GCF of 52 and 16?

Back

The GCF of 52 and 16 is 4.

Front

How can (52 + 16) be expressed in the form of c(a + b)?

Back

It can be expressed as 4(13 + 4).

Front

Write the expression for (45 + 15) in the form a(b + c) using GCF.

Back

The expression is 15(3 + 1).

Front

What does it mean to factor an expression?

Back

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