Identify and Use Properties of Real Numbers

Identify the property
a + b = b + a

• Identity of addtion

• commutative of addition

• associative of addition

• symmetric

Identify the property
(a ⋅ b) ⋅ c = (c ⋅ b) ⋅ a

• commutative of multiplication

• identity of multiplication

• inverse of multiplication

• associative of multiplication

Identify the example of the

identity property of addition.

• a + (-a) = 0

• a + a = 2a

• a + 0 = a

• a + b = b + a

Identify the property 
a + (-a) = 0

• Inverse of addition 

• Identity of addtion

• associative of addition 

• symmetric

Identify this property.

For all real numbers, m = m.

• Symmetric

• Reflexive

• Transitive

• Substitution

Identify the additive inverse of

-7

• -7

• 7

Identify this property.

• Multiplicative Inverse

• Multiplicative Identity

• Commutative

• Associative

Identify this property.

• Additive Identity

• Additive Inverse

• Multiplicative Property of 0

• Multiplicative Inverse

What property is this?
1a = a

• Commutative Property of Multiplication

• Multiplicative Inverse

• Multiplicative Identity

• Distributive Property

What two operations use the commutative property?

• addition and subtraction

• addition and multiplication

• addition and division