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# Additive Inverse of Rational Numbers

Any Integer  in (a/b)form where, 'b' is not  equal  to '0' is defined as rational number. In this 'a' and 'b' are integers and if  b> 0 than every integer is called as rational number. Rational number posses lot's of properties one of them is additive inverse of Rational Numbers. Additive inverse means  addition  of inverse or addition of negative or opposite of number. For instance, we have a rational  number (x/y) then inverse  of  (x/y) is (-x/y) and when we add  inverse of rational numbers with the orginal number like: (-x/y) + (x/y) then this process is known as additive inverse of rational numbers and additive inverse gives result as 'zero'.

## Find the Additive inverse of 4/5?

We have a rational  number r  =   4/5, then additive inverse of r is -4/5,
because it produces 0  as  a  result,
4/5 + (-4/5 ) = 0.
This is an example which shows the additive inverse of simple rational number.

## Determine the Additive inverse of the given integer '3'?

The given Integer 3 is a Rational number as it can be represented as: 3/1

then according to additive inverse we get.

p = -3/1,
because it produces '0' as a result:
3/1 + (-3/1) = 0.
This  example shows the additive inverse of the integer number.

## Determine the Additive inverse of decimal number '0.4'?

Given Rational number is decimal number q= 4/10, then additive inverse of q is -(4/10),

because result  is:

=> 4/10 + (-4/10) = 0/10,

=> 0/10 = 0.

## Calculate the Additive Inverse of negative rational number given as: '-24/55'?

Given, Rational number is negative,

s= -24/55,
then, additive inverse of s is 24/55,
On adding both the Numbers i.e. original and its inverse we get:

(-24/55) + 24/55 = 0.

## Find the Additive inverse of Rational variable given as: {(a+b)/c}?

We have a rational number suppose 't'

So, t = {(a + b)/c},
Then, additive inverse of t is {-(a + b)/c},
=> {(a + b)/c} + {-(a + b)c} = 0.