Properties of Adding and Multiplying

Change Order

• Commutative Prop.

• Associative Prop.

• Distributive Prop.

• Inverse Prop.

This property tells us that when we change the order of numbers when we are adding, the answer does not change.  

• Commutative Addition

• Commutative Multiplication

• Associative Addition

• Associative Multiplication

This property tells us that you can move the parentheses when you are multiplying and the answer will not change. 

• Associative Addition 

• Associative Multiplication

• Commutative Addition 

• Commutative Multiplication 

Name the property.
7 + (11 + 10) = (7 + 11) + 10

• Associative Property

• Commutative Property

• Distributive Property

• Identity Property

How can 5 (3 + 9) be expressed using the distributive property?

• 5(3) + (5 + 9)

• 5(3) + 5(9)

• 5 + 9 = 9 + 5

• (5 + 3) x (5 + 9)

Name the Property.
12 x 12 + 12 x 11 = 12 (12 + 11)

• Associative Property

• Commutative Property

• Distributive Property

• Identity Property

The property which states that changing the order of the addends does not affect the sum.

a + b = b + a

• Commutative Property of Addition

• Commutative Property of Multiplication

• Associative Property of Addition

It states that changing the groupings of the addends does not affect the sum:

a + ( b + c ) = ( a + b ) + c

• Commutative Property of Multiplication

• Associative Property of Addition

• Associative Property of Multiplication

A property which states that the sum of the integers a and b is an integer.

• Closure Property

• Zero Property

• Distributive Property

This property states that any number added by 0 is equal to the number:

a + 0 = a

• Identity Property of Addition

• Identity Property of Multiplication

• Zero Property