Question

The sum of a rational number and its additive inverse is always equal to its ______.

• A. Additive identity
• B. Multiplicative identity
• C. Reciprocal
• D. 1

Answer 1

The correct option is A Additive identity

The additive inverse of any rational number, $\frac{p}{q}$ is = -$\frac{p}{q}$.
$\therefore$ the sum of a rational number and its additive inverse is
= $\frac{p}{q}$ + (- $\frac{p}{q}$) = 0
0 is the additive identity for any rational number.
Additive identity of a rational number is that number, which when added to the rational number, gives the number itself.
example: $\frac{2}{5}$ + (-$\frac{2}{5}$) = 0 = the additive identity