Properties of Numbers 2

Properties of Numbers 2

By Kevvin Hankins

Properties of Real Numbers

Commutative Property

Multiple Choice

Use the commutative property to re-write the expression

$$123+x+9$$  

• $$x+9+123$$  

• $$\left(123+x\right)+9$$  

Multiple Choice

Identify the property.

4 + -3 = -3 + 4

• associative

• commutative

• identity

• additive inverse

Associative Property

Multiple Choice

Identify the property.

12+ (3 + 4) = ( 12+ 3) + 4

• additive inverse

• additive identity

• commutative

• associative

Multiple Choice

Which correctly applies the associative property to the expression

$$\left(x+5\right)+7$$  

• $$\left(5+x\right)+7$$  

• $$x+\left(5+7\right)$$  

• $$7+\left(5+x\right)$$  

Identity Property

Multiple Choice

Which correctly represents the identity property?

• $$x-x=0$$

• $$x+3=3$$

• $$x\cdot1=x$$

Multiple Choice

Identify the property.

-1.3 + 0 = -1.3

• commutative

• additive inverse

• identity

• associative

Multiple Choice

What property of addition do the numbers HAVE to stay in the same order, but the numbers and groups can change?

• commutative

• associative

• identity

Multiple Choice

Which answer shows the commutative property of addition?

• 6+9+5 = 9+6+5

• 6+0 = 6

• (6+9)+5 = 6+(9+5)

Multiple Choice

What property is being used:

9+0=9

• Additive Identity Property

• Associative Property of Addition

• Additive Inverse Property

• Distributive Property

Inverse Property

Multiple Choice

Which correctly shows the inverse property?

• $$x+-x=0$$

• $$x\cdot1=x$$

• $$a+x=x+a$$

Property of Zero

Multiple Choice

Is this the property of zero?

• $$3-0=3$$

• $$6+0=6$$

• $$1-1=0$$

• $$9\cdot0=0$$

Distributive Property 

Multiple Choice

Is this a correct use of the distributive property?

$$5\left(x-8\right)=5x-8$$  

• Yes

• No