The number in the set of real numbers that whenever added to settled number will yield zero could be the additivr inverse. Illustrations: Complex numbers:  (a + bi)  =  (−a) + (−b)i.

Inside complex plane, this operation moves a complex array 180 degrees concerning the origin.

For an authentic number, the piece reverses its signal: the opposite into a positive number is negative, and the other to a awful number is positive. Zero is the additive inverse with regards to itself.

## Definition

The opposite of a number is known as the additive inverse. For example, the additive inverse of 12 is -12. The additive inverse of -1 is 1. Formally, the additive inverse of x is -x.
The sum of a number and its additive inverse is 0.
Given below is an example:

Example  1: Find the additive inverse of each number

1) 5 - 9i

2) - 5 + 2i

Solution:

1) Given 5 - 9i

The additive inverse of the given number is - 5 + 9i

Therefore the solution is - 5 + 9i

2) Given - 5 + 2i

The additive inverse of the given number is 5 - 2i

Therefore the solution is  5 - 2i

## What is Additive Inverse of 3?

Additive Inverse of your number means the actual corresponding number which when put into the number amounts to Zero. Let us say we have to find out item inverse of 5, then we have to find out a number which when put into 5 yields 0.The negative of your number is put into a number to get zero. So,
The additive inverse of + 3 is usually - 3, simply because -3 + 3 = 0.
The additive inverse of +3 is -3 at the same time.

## Additive Inverse of a Polynomial

Firstly let us know what a polynomial is?
An expression which can be made with continuous, variable, and exponent and may be expressed avilable as addition, subtraction, multiplication however, not division is called polynomial.

0, 1, two, 3........ can always be exponents
Numerator and denominator will surely have infinite number involving terms.

The additive inverse of a polynomial P is a number that tends to make zero when it included with polynomial P. So additive inverse involving polynomial P is going to be - P.

By way of Example: 4x - 3 is additive inverse on the fraction 4x + 3. That's 4x+3 +(- 4x - 3)

=4x + 3 - 4x -3 = 0.

Example 1:  What can be the additive inverse of the given below polynomial
5x$^{2}$ +7x+3.

Solution:

Step 1: we should take given polynomial in bracket like (5x$^{2}$ +7x+3).

Step 2: additive inverse will be -(5x$^{2}$ +7x+3)

Step 3: it is equal to -5$x^{2}$ 4 - 7x - 3

So therefore the solution is -5$x^{2}$4 - 7x - 3