Vocabulary

Identity Property of Addition

Identity Property of Multiplication

Communtative Property of Addtion

Commutative Property of Multiplication

Associative Property of Addition

Associative Property of Multiplication

Vocabulary

Distributive Property of Multiplication over Addition

Distributive Property of Multiplication over Subtraction

Combining Like Terms

Inverse Operations

Order of Operation

Identity Property of Addition

When you add zero (0) to any number you get that number. ex: b + 0 = b ~ 9 + 0 = 9

Identity Property of Multiplication

When you multiply any number by one (1) you get that number. ex: a x 1 = a ~ 10 x 1 = 10

X

=

Commutative Property of Addition

This property states that you can add in any order and the answer will be the same when you have two or more numbers. ex: c + d = d + c

~ 13 + 20 = 20 + 13

Commutative Property of Multiplication

This property states that when multiplying by any two or more numbers you can move the numbers in any order and get the same answer. ex:

d x e = e x d ~ 8 x 2 = 2 x 8

Associative Property of Addition

This property states that when adding any three different numbers you can move the parentheses and still get the same answer.

ex: (d + e) + f = d + (e + f)

(

)

=

(

)

+

+

+

+

Associative Property of Multiplication

This property states that when multiplying any three different numbers you can move the parentheses and still get the same answer.

ex: (d x e) x f = d x (e x f) ~ 10 x (2 x 5) = (10 x 2 ) x 5

Key: Both expressions equal 100

Distributive Property of Multiplication over Addition

This property states that when adding any two numbers in parentheses and multiplying that sum in the parentheses by a number outside is the same as multiplying the outside number by each number inside the parentheses and finally adding the two products together.

ex: 3(2 + 7) = 3 x 2 + 3 x 7

(

+

)

=

+

Distributive Property of Multiplication over Subtraction

This property states that when subtracting any two numbers inside the parentheses and multiplying that sum in the parentheses by a number outside is the same as multiplying the outside number by each number inside the parentheses and then subtracting the two products together.

ex: A(B - C) = A(B) - A(C)

(

-

)

=

X

-

X