No it isn’t
In mathematics, the additive inverse of a number a is the number that, when added to a, yields zero. ... 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. Zero is the additive inverse of itself.
The additive inverse of a number is not always negative.
The number system is a way to represent or express numbers.
A decimal number is a very common number that we use frequently.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
The additive inverse of an number is a number by which addition the resultant becomes zero.
For example, the additive inverse of 3 is -3
Now,
The additive inverse of -4 will be 4 which is positive, not negative.
The additive inverse of 0 is 0 which is not negative.
Hence "The additive inverse of a number is not always negative".
For more about the number system,
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