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**Hint:**Additive inverse of the number is stated as the number whose addition with the given number yields zero as a result. So the additive inverse of x is (-x) and sum of both the number is \[0\]

**Complete step-by-step answer:**Given \[( - 3)\]

Let additive inverse of \[( - 3)\]be x

So as we know the sum of a number and its additive inverse is 0

\[

\Rightarrow x + ( - 3) = 0 \\

\Rightarrow x = 3 \\

\]

**So the additive inverse of \[( - 3)\]is 3.**

**Note:**In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite (number), sign change, and negation. For a real number, it reverses its sign: the opposite to a positive number is negative, and the opposite to a negative number is positive.

The additive inverse of x is equal and opposite in sign to it (so, y = -x or vice versa). For example, the additive inverse of the positive number \[5\] is \[ - 5\].

Hence in the following manner we can solve the above question.

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