Properties of Real Numbers, Opposites and Absolute Value

Identify the property

 $a+b=b+a$  

• Associative Property of Addition

• Commutative Property of Addition

• Additive Inverse Property

• Zero Property of Multiplication

Identify the property:

 $a\cdot b=b\cdot a$  

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Distributive Property

• Multiplicative Identity Property

Identify the property:

 $a+\left(b+c\right)=\left(a+b\right)+c$  

• Associative Property of Addition

• Commutative Property of Addition

• Distributive Property

• Substitution Property

Identify the property:

 $a\cdot\left(b\cdot c\right)=\left(a\cdot b\right)\cdot c$  

• Associative Property of Multiplication

• Commutative Property of Multiplication

• Distributive Property 

• Multiplicative Inverse Property

Identify the property:

 $a\cdot\left(b+c\right)=a\cdot b+a\cdot c$  

• Associative Property of Addition

• Associative Property of Multiplication

• Commutative Property of Addition

• Commutative Property of Multiplication

• Distributive Property

Which of the following accurately represents the additive identity property?

• $3+5=5+3$

• $\left(-6+5\right)+10=-6+\left(5+10\right)$

• $3+0=3$

• $-7+7=0$

Which of the following accurately represents the multiplicative identity property?

• $3\cdot\left(-5\right)=-5\cdot3$

• $4\cdot\frac{1}{4}=1$

• $214\cdot1=214$

• None of these

Which of the following accurately represents the additive inverse property?

• $-90+90=0$

• $-90\cdot1=-90$

• $-90+90=90+\left(-90\right)$

• None of these

Which of the following accurately represents the zero property of multiplication?

• $-4+4=0$

• $4+0=4$

• $4\cdot0=0$

• none of these

Which of the following accurately represents the multiplicative inverse property?

• $45\cdot1=45$

• $45\cdot\frac{1}{45}=1$

• $45\cdot0=0$

• none of these