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

inverse property of multiplication.

• 5 ⋅ 0 = 5
• 5 - 5 = 0
• 5 ⋅ 1 = 5

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(b + c) = ab + ac

• Associative of addtion
• Distributive
• Commutative of addition
• Inverse

Identify the property 
a + (-a) = 0

• Inverse of addition 
• Identity of addtion
• associative of addition 
• symmetric

Identify the additive inverse of

-7

• -7
• 7

Identify this property.

For all real numbers, m = m.

• Symmetric
• Reflexive
• Transitive
• Substitution

Identify this property.

If j = k, then k = j.

• Symmetric
• Reflexive
• Transitive
• Addition Property of Equality

Identify this property.

If y = z and z = 4, then y = 4.

• Symmetric
• Transitive
• Reflexive
• Transgression