Properties

Properties

Associative Property

• Associative Property of Addition

• Associative Property of Multiplication

• (2 x 4) x 6 = 2 x (4 x 6)

Commutative Property

• Commutative Property of Addition

• Commutative Property of Multiplication

• 4 x 5 = 5 x 4

Multiple Choice

Which property is this an example of?

6 x 7 = 7 x 6

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Inverse Property of Multiplication

• Distributive Property

Multiple Choice

Rewrite (9 x 6) x 5 using the associative property.

• 270

• 9 x 30

• 9 x (6 x 5)

• 5 x 9 + 5 x 6

Multiple Choice

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

• Commutative Property of Addition

• Commutative Property of Multiplication

• Associative Property of Addition

• Associative Property of Multiplication

Distributive Property

7(3w - 5)
7 x 3w - 7 x 5
21w - 35

Multiple Choice

5(1+5b)

• 5+25b

• 6+6b

• 5+10b

Multiple Choice

4(8n+2)

• 4n+2

• 12n+6

• 32n+8

Multiple Choice

 $\frac{1}{2}(t+8)$  

•  $\frac{1t}{2t}+\frac{8}{2}$  

•  $\frac{1}{2}t+8$  

•  $\frac{1}{2}t+4$  

•  $\frac{1}{2}t+\frac{8}{16}$  

Multiple Choice

Simplify the expression:

3(2h + 3c + 2)

• 6h + 9c + 2

• 6h + 9c + 6

• 2h + 3c + 6

• 5h + 6c + 5

Multiple Choice

$$2x\left(5x+2y\right)$$  

• $$12xy$$  

• $$10x^2+4xy$$  

• $$10x+4y$$  

• $$10x^2+2y$$  

Multiple Choice

 $m^2\left(3m+7m^4n\right)$  

•  $3m^3+7m^4n$  

•  $10m^{10}n^2$  

•  $3m^2+7m^8n$  

•  $3m^3+7m^6n$