Distributive, Associative, and Commutative

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 + 2x + 3y + 4y

• (x + 3y) + (2x+4y)

• 2x(x) + 3y(4y)

• 3x + 7y

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

8(y-x) =

• 8y - 8x

• 8xy

• 8(y) + 8(x)

• (y-x)8

True or False? Associative property can be used when subtracting/dividing.

• True, you can change the grouping in subtraction/division problems.

• False, you cannot change the grouping in subtraction/division problems.

The commutative property says that if 4x6=24, then

• 3x8=24

• 4x5=20

• 6x4=24

(5 + 8) + 2 = 2 + (5 + 8)

• Communitive Property of Addition

• Associative Property of Addition

• Identity Property of Addition

• Distrubutive Property

3 + 7 + 6 = 7 + 3 + 6

• Communitive Property of Addition

• Associative Property of Addition

• Identity Property of Addition

• Distrubutive Property