Working with the Properties of Addition & Multiplication

Which property is used in the following expression?

3(9 + 8) = 27+24

• Associative Property of Addition

• Distributive Property

• Commutative Property of Addition

• Associative Property of Multiplication

Which property does 7 + 0 = 7 illustrate?

• Zero Property of Multiplication

• Distributive Property

• Commutative Property of Addition

• Identity Property of Addition

Which is an example of Associative Property of Addition?

• 8 + 0 = 8

• 4 + 3 = 3 + 4

• 9 + (-9) = 0

• (3 + 5) + 6 = 3 + (5 + 6)

Which equation shows the Identity Property of Multiplication?

• $a\cdot1=a$

• $\left(a+b\right)+6=a+\left(6+b\right)$

• $a\left(b+c\right)=ab+ac$

• $a+a+a=3\cdot a$

Simplify this expression:  $8\left(y+z\right)$  

•  $8z+y$  

•  $8y+8z$  

•  $8yz$  

•  $8y+z$  

The value of any nonzero number will be changed by ________________.

• dividing by one

• multiplying by zero

• adding zero

• multiplying by one

Which is an example of Identity Property of Addition?

• $9+0=9$

• $3+4=4+3$

• $6\cdot1=6$

• $\left(4+2\right)+7=4+\left(2+7\right)$

Which equation shows the Multiplicative Inverse of a number?

• $a\cdot1=a$

•  $a\cdot0=0$ 

•  $a+\left(-a\right)=0$ 

•  $a\cdot\frac{1}{a}=1$ 

Which operation will not change the value of any nonzero number?

• Adding one

• Multiplying by one

• Multiplying by zero

• Dividing by zero

Which of the following is an example of Commutative Property of Addition?

• $6+7=2+6$

• $9\cdot1=9$

• $\left(8+5\right)+3=8+\left(5+3\right)$

• $4+8=8+4$