Question

Name the property used in the following : $\left(-\frac{2}{7}\right)+0=0+\left(-\frac{2}{7}\right)=-\frac{2}{7}$

Answer 1

Name the property used:

We know that the "Additive Identity" is$0$, if we add $0$ to a rational number then we will get the same number.

Given$\left(-\frac{2}{7}\right)+0=0+\left(-\frac{2}{7}\right)=-\frac{2}{7}$

Observe that here we add $0$ to a rational number we get the same rational number.

Therefore, $0$ is the additive identity of rational numbers.

Hence, the additive identity property is used in $\left(-\frac{2}{7}\right)+0=0+\left(-\frac{2}{7}\right)=-\frac{2}{7}$.