Question

Match each equation to the property used.

x • (y • 3) = (x • y) • 3 Associative Property of Addition

(x + y) + 3 = 3 + (x + y) Associative Property of Multiplication

(x + y) + 3 = x + (y + 3) Commutative Property of Addition

x • (y • 3) = x • (3y) Commutative Property of Multiplication

Answer 1

`x\cdot (y\cdot 3)=(x\cdot y)\cdot 3` Associative Property of Multiplication

`(x+y)+3=3+(x+y)` Commutative Property of Addition

`(x+y)+3=x+(y+3)` Associative Property of Addition

`x\cdot (y\cdot 3)=x\cdot (3\cdot y)` Commutative Property of Multiplication

Explanation:

Associative Property of Addition:
`(a+b)+c=a+(b+c)`

Associative Property of Multiplication:
`(a\cdot b)\cdot c=a\cdot (b\cdot c)`

Commutative Property of Addition:
`a+b=b+a`

Commutative Property of Multiplication:
`a\cdot b=b\cdot a`

Then

Expression Property

`x\cdot (y\cdot 3)=(x\cdot y)\cdot 3` Associative Property of Multiplication

`(x+y)+3=3+(x+y)` Commutative Property of Addition

`(x+y)+3=x+(y+3)` Associative Property of Addition

`x\cdot (y\cdot 3)=x\cdot (3\cdot y)` Commutative Property of Multiplication