Question

Find the additive inverse of $ - \dfrac{a}{b}$
$
  {\text{A}}{\text{. }}\dfrac{a}{b} \\
  {\text{B}}{\text{. }}\dfrac{b}{a} \\
  {\text{C}}{\text{. }}\dfrac{{ - b}}{a} \\
  {\text{D}}{\text{. None of these}} \\
$

Answer 1

Hint- Try to find what should be added in $ - \dfrac{a}{b}$ to get 0.

Additive inverse of a number is the number which when added with the number gives zero.
Also, additive inverse is the negative of a number as a + b = 0 so a = - b.
So, here we have to find additive inverse of $ - \dfrac{a}{b}$
So the additive inverse of $ - \dfrac{a}{b}$ will be negative of it.
That is $\dfrac{a}{b}$
Hence Option ${\text{A}}{\text{. }}\dfrac{a}{b}$ is correct.

Note- Additive inverse of a number is the number which when added with the number gives zero. Additive inverse is the negative of a number. So, for every integer n, there is a unique integer m such that n + m = m + n = 0. Also, if m is additive inverse of n, then n is also additive inverse of m.