Justifying Equalities and Equations Using Properties of Operations

9 ^_x 2 = 2 ^_x 9

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Multiplicative Inverse Property

• Distributive Property

5 + (-5) = 0

• Zero Property

• Inverse Property of Addition

• Identity Property of Addition

• Distributive Property

(6 ^_x 2) ^_x 3=6 ^_x (2 ^_x 3)

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Multiplicative Inverse Property

• Multiplicative Identity Property

9 + 0 = 9

• Identity Property of Multiplication

• Associative Property of Addition

• Identity Property of Addition

• Additive Inverse Property

-3  x  -⅓  = 1

• Identity Property of Multiplication

• Zero Property

• Additive Inverse Property

• Multiplicative Inverse Property

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D

• A
• B
• C
• D