Simplify Using Commutative and Associative Properties

2 + 5 + 6 = 6 + 2 + 5

• Associative

• Commutative

• Identity

Which is an example of Associative Property of Addition?

• (12+3)+8=12x(3x8)

• 12x(3x8)=(12x3)x8

• (12+8)+3=12+(8+3)

• 12 + 18 = 18 + 12

This is an example of which property:
(2⋅3)4=(3⋅2)4

• Associative

• Commutative

• Inverse

• Identity

Which property does this represent:

12 + 16 + 15 = 16 + 12 + 15

• Commutuative Property of Multiplication

• Distributive Property

• Commutative Property of Addition

• Associative Property of Addition

You want to simplify the expression: 5.2+(-5.2+2.6)

You feel you can simplify this more easily by using the associative property. How can your expression be written using the associative property?

• 5.2 + (2.6 + -5.2)

• -5.2 + (2.6 + - 5.2)

• (5.2 + -5.2) + 2.6

• (-5.2 + -5.2) + 2.6

Identify the property shown.

• Commutative

• Associative

• Distributive

• None

Use the associative property to write an equivalent expression for 21p + 35q

• (21p) + 35q

• 7 (3p + 5q)

• 7 (3p - 5q)

• 56 (p + q)

What property allows this statement to be true? ab = ba

• Associative Property of Multiplication

• Distributive Property

• Commutative Property of Multiplication

• Associative Property of Addition

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

• Commutative Addition

• Commutative Multiplication

• Associative Addition

• Associative Multiplication

Madeline is solving the following problem: -2 + 4 + -5 + 6+ -7 She rewrote the problem to be (4+6)+(-2+-5+-7). What property did she use to rewrite the problem?

• Associative

• Commutative

• Distributive

• Inverse