Question

Name the property used in each of the following:
$\frac{2}{3}+\left(\frac{-2}{3}\right)=0=\left(\frac{-2}{3}\right)+\frac{2}{3}$

Answer 1

Given,

$\frac{2}{3}+\left(\frac{-2}{3}\right)=0=\left(\frac{-2}{3}\right)+\frac{2}{3}$.

This property is called the inverse property.

As for all $a\in Q$ there is a unique $(-a)$ in $Q$ such that $a+(-a)=0=(-a)+a$. [ Where $0$ is the identity element of the set of rational number under the operation of addition.]