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)
The choices are associative property, distributive property, and communitive property.

Answer 1

Answer:

1) Associative

2)distributive

3) commutative

4)distributive

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