Question

Match the following equations to the correct property that is being used.
7+(13+4)=(7+13)+4
8(x+3)=8(x)+8(3)
5×7×3=7×5×3
(7+x)3=3(7)+3(x)
Associative Property, Commutative Property, or Distributive Property for each one

Answer 1

Answer:

7+(13+4)=(7+13)+4 : Associative Property

8(x+3)=8(x)+8(3) : Distributive Property

5×7×3=7×5×3 : Commutative Property

(7+x)3=3(7)+3(x) : Distributive Property

Step-by-step explanation:

Answer 2

#1

$\\ \sf\longmapsto 7+(13+3)=(7+13)+4$

It satisfies a+(b+c)=(a+b)+c

• Associate property

#2

$\\ \sf\longmapsto 8(x+3)=8x+8(3)$

It satisfies a(b+c)=ab+ac

• Distributive property.

#3

$\\ \sf\longmapsto 5(7)(3)=7(5)(3)$

It satisfies abc=cba

• Commutative property

#4

$\\ \sf\longmapsto 3(7+x)=3(7)+3x$

• Distributive property

Done