Identify and Use Properties of Real Numbers

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 + (-a) = 0

• Additive Inverse 

• Additive Identity

• Additive Associative 

• Symmetric

Any number you multiply by zero equals zero.

• True

• False

(19 x 5) x 2 = 19 x (5 x 2)

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Identity Property of Multiplication

• Associative Property of Addition

What property of real numbers was used to go from Step 3 to Step 4?

• Property of equality of sum

• Property of equality of subtraction

• Combine similar terms

• Property of equality of multiplication

What property justifies the work in solving this equation?

• Addition equality property

• Multiplication equality property

• Addition identity property

• Subtraction equality property

Identify the property you would use to solve this equation:
4x = 72

• Addition Equality Property

• Subtraction Equality Property

• Multiplication Equality Property

• Division Equality Property