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

#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