Commutative, Associative, Distributive Properties

150 + 75 = 75 + 150

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

• Commutative Property of Multiplication

Which equation shows the Commutative Property of Multiplication ?

• 7 x 3 = 7 + 7 + 7

• 8 x 1 = 8

• 3x6 - 4x6 = (3-4)x6

• 5 x 2 = 2 x 5

Tell which property the statement illustrates.
7 ∗ z = z ∗ 7

• Multiplication Property of 1

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Distributive Property

Tell which property the statement illustrates.
(2 ∙ 6) + (2 ∙ 4) = 2(6 + 4)

• Distributive Property

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

The Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

The

​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

The ​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

The

​ (a)   Property can be used to state that (x + 2)7 + 3x is equivalent to 7x + 14 + 3x.

• Distributive

• Commutative

• Associative

Answer explanation

To simplify, distribute 3 to both terms inside the parentheses: 3x - 12. Then, combine like terms with the 2x term to get 5x - 12.

Tell which property the statement illustrates.
10(a − 9) = (10 × a) − (10 × 9)

• Commutative Property of Subtraction

• Multiplication Property of Subtraction

• Distributive Property

• Associative Property of Subtraction