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

Answer:

$x\cdot (y\cdot 3)=(x\cdot y)\cdot 3$             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

Step-by-step 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