Properties of Real Numbers and Equality

What property shows how to deal with an expression in the form of a (b + c)?

• Distributive Property

• Commutative Property

• Associative Property

• Identity Property

What property states that any number multiplied by zero is zero?

• Zero Property of Multiplication

• Commutative Property (ordering)

• Associative Property (grouping)

• Identity Property (no change)

What property states that multiplying any number by one leaves it unchanged?

• Identity property (no change)

• Zero property of multiplication

• Commutative property (ordering)

• Associative property (grouping)

What property states that the sum of a number and zero is the number itself?

• Identity property

• Inverse property

• Associative property

• Commutative property

Identify the property
a + b = b + a

• Addition Identity

• Commutative of addition

• Associative of addition

• Symmetric

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

• commutative property of multiplication

• identity property of multiplication

• inverse property of multiplication

• associative property of multiplication

Identify the property
a + 0 = a

• identity of addition

• identity of multiplication

• inverse of addition

• multiplication by zero

Identify the property
a(b + c) = ab + ac

• Associative of addition

• Distributive

• Commutative of addition

• Inverse

Identify the property 
a + (-a) = 0

• Additive Inverse 

• Additive Identity

• Additive Associative 

• Symmetric

Any number you multiply by zero equals zero.

• True

• False