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

How can you use the Distributive Property to simplify 3(4 + 5)?

Back

3(4 + 5) = 3*4 + 3*5 = 12 + 15 = 27.

Front

What is the GCF (Greatest Common Factor)?

Back

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

Front

How do you find the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12, as it is the largest number that divides both evenly.

Front

What is an equivalent expression for 20 + 30 using the Distributive Property?

Back

20 + 30 can be expressed as 10(2 + 3).

Front

If you have 15 + 25, how can you use the Distributive Property?

Back

15 + 25 can be expressed as 5(3 + 5).

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 express 45 + 72 using the GCF?

Back

You can express 45 + 72 as 9(5 + 8).

Front

What is the result of using the Distributive Property on 6(5 + 2)?

Back

6(5 + 2) = 6*5 + 6*2 = 30 + 12 = 42.

Front

What is an example of using the Distributive Property with subtraction?

Back

For example, 5(10 - 3) = 5*10 - 5*3 = 50 - 15 = 35.