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.