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 property
a + 0 = a

• identity of addition
• identity of multiplication
• inverse of addtion
• multiplication of zero

Pick the answer that is an example of the inverse property of multiplication

• 5 ⋅ 0 = 5
• 5 ⋅ 1/5 = 1
• 5 - 5 = 0
• 5 ⋅ 1 = 5

Pick the answer that is an example of the commutative property of multiplication

• b + c + a = a + b + c
• a(b + c) = ab + ac
• a ⋅ b = b⋅ a
• a ⋅ 1 = a

Pick the answer that is an example of the identity property of addtion

• a + (-a) = 0
• 1 + 1 = 2
• a + 0 = a
• a + b = b + a

Simplify the expression
-3(2 - 6) - (4 + 5) - 1

• 1
• -1
• -19
• -22

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

Pick the answer that is an example of the symmetric property

• If 2 ⋅ 3 = 6, then 6 = 2 ⋅ 3
• a = a
• a + b = b + a
• (a ⋅ b) + c = (a ⋅ c) + b