Properties of Real Numbers

Properties of Real Numbers

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Commutative Property

Multiple Choice

Use the commutative property to re-write the expression

4 + 6 =

• 6 + 4 

•   10

• 64

• 4 + 6

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Commutative Property of Addition

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Commutative Property of Multiplication

Associative Property

Multiple Choice

Which correctly applies the associative property to the expression

$$\left(x+5\right)+7$$  

• $$\left(5+x\right)+7$$  

• $$x+\left(5+7\right)$$  

• $$7+\left(5+x\right)$$  

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Associative Property of Multiplication

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Associative Property of Addition

Identity Property

Multiple Choice

Which correctly represents the identity property?

• $$x-x=0$$

• $$x+3=3$$

• $$x\cdot1=x$$

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Identity Property of Multiplication

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Identity Property of Addition

Inverse Property

Multiple Choice

Which correctly shows the inverse property?

• $$x+-x=0$$

• $$x\cdot1=x$$

• $$a+x=x+a$$

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Inverse Property of Addition

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Inverse Property of Multiplication

Property of Zero

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Multiple Choice

Is this the property of zero?

• $$3-0=3$$

• $$6+0=6$$

• $$1-1=0$$

• $$9\cdot0=0$$

Distributive Property 

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Distributive Property

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Distributive Property

Multiple Choice

Is this a correct use of the distributive property?

$$5\left(x-8\right)=5x-8$$  

• Yes

• No

Multiple Choice

Is this a correct use of the distributive property?

3(x + 5) = 3x + 15

• Yes

• No