Associative and Commutative Property

4 + (1 + 7) = 4 + (7 + 1)

• Commutative Property

• Associative Property

• Identity Property

• Zero Property

5 X (7 X 2) = (5 X 7) X 2

• Commutative Property

• Associative Property

• Identity Property

• Zero Property

(25 x 5) x 7 = (5 x 25) x 7

• Commutative Property

• Associative Property

• Identity Property

• Zero Property

Which property states that you can change the grouping when adding/multiplying and STILL get the same answer?

• commutative property

• associative property

• distributive property

Which property states that you can change the order of the numbers when adding/multiplying and STILL get the same answer?

• commutative property

• associative property

• distributive property

Determine which equation shows associative property.

• (a + b) + c = a + (b+ c)

• abc = cab

• a(b+c) = ab + ac

• (a+b) + c = (b+a) + c

Determine which equation shows commutative property.

• 7 + 3 = 10

• 7 + 3 = 3 + 7

• 2 x 6 = 3 x 4

• 2(4-3) = 2(4) - 2(3)

Generate an equivalent expression, for the one shown below, using the associative property.

• (8y + 2y) + 3

• 3(8y+2y)

• 3(8y-2y)

• 3 + 2y + 8y

Generate an equivalent expression, for the one shown below, using the commutative property.

x + 3y + 2x + 4y =

• x + 2x + 3y + 4y

• (x + 3y) + (2x+4y)

• 2x(x) + 3y(4y)

• 3x + 7y

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

• Commutative Addition

• Associative Multiplication

• Commutative Multiplication