Properties of Operations

This property tells us that when we change the order of numbers when we are adding, the sum does not change.  

• Commutative Addition

• Commutative Multiplication

• Associative Addition

• Associative Multiplication

Which expression is equivalent to 6s + 10t by the distributive property?

• 2s (3 + 5t)

• 2 (3s + 5t)

Answer explanation

Wrong: 2s (3 + 5t) = 6s + 10st

Correct: 2 (3s + 5t) = 6s + 10t

Which expression is equivalent to 12a + 15b by the distributive property?

• 3a (4 + 5b)

• 3 (4a + 5b)

Answer explanation

Wrong: 3a (4 + 5b) = 12a + 15ab

Correct: 3 (4a + 5b) = 12a + 15b

5 + (1 x 7) is equal to = 5 + (7 x 1)  because of the ____

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

• Commutative Property of Multiplication

Answer explanation

The only thing that changes between these equations is the numbers being multiplied by each other in the parentheses switch places. The Commutative property of Multiplication supports this!

This property tells us that you can move the parentheses when you are multiplying and the answer will not change. 

• Associative Addition 

• Associative Multiplication

• Commutative Addition 

• Commutative Multiplication 

• None of the answers are correct.

(7 + 3) + 4 = 7 + ( 3 + 4)

• Distributive Property

• Commutative Property of Addition

• Associative Property of Multiplication

• Associative Property of Addition

(6 ^_x 2) ^_x 3=6 ^_x (2 ^_x 3)

• Commutative Property of Multiplication

• Associative Property of Multiplication

• Multiplicative Inverse Property

• Multiplicative Identity Property

Simplify the following expression:
-9(14p - 8) - 4p

• 130p - 72

• 122p - 72

• -130p - 18

• -130p + 72

-3  x  -⅓  = 1

• Identity Property of Multiplication

• Zero Property

• Additive Inverse Property

• Multiplicative Inverse Property