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# 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}} \\$ Verified
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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.
Last updated date: 19th Sep 2023
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