Question

For any integer \[a\] , its additive inverse is______
A. \[ - a\]
B. \[a\]
C. \[\dfrac{1}{a}\]
D. \[ - \dfrac{1}{a}\]

Answer 1

Hint: In this problem, we need to find the additive inverse of any integer \[a\] .The additive inverses of each other are two integers whose sum is zero. They are also known as each other's polar opposites. By changing the sign of an integer, the additive inverse is obtained.Inverse means the opposite in effect. The reverse of any number by changing the sign of an integer. It is a general idea in mathematics.

Complete step-by-step answer:
In this given problem,
For any integer \[a\] , then finding its additive inverse.
The additive inverse of a number is the number that results to zero when added to it.
This number is often referred to as the inverse (number), sign shift, and negation.
It reverses the sign of a real number: the opposite of a positive number is negative, and the opposite of a negative number is positive.
If \[a\] is an integer, its inverse \[( - a)\] is known as the additive inverse of a.
As a result, the option (A) \[ - a\] is the correct one.
So, the correct answer is “Option A”.

Note: Here, we note that an additive inverse of a number is defined as the value, which on adding with the original number results in zero value. It is the value we add to a number to yield zero. If an integer is the original number, then its additive inverse is minus.