Question

Name the property used in each of the following:
$\frac{-1}{2}+0=\frac{-1}{2}=0+\frac{-1}{2}$

Answer 1

Since $0$ is the identity element of the set of rationals under the addition.

$a+0=a=0+a$.

This property exists for every $a\in Q$,

So, the given property$\frac{-1}{2}+0=\frac{-1}{2}=0+\frac{-1}{2}$, is the identity property on set of rationals.