Question

What is the additive inverse of the number \[\dfrac{2}{8}\]

Answer 1

Hint: In the above question we are asked the additive inverse of the number \[\dfrac{2}{8}\]so for approaching such kind of questions first we need to know about the additive inverse of any number. So the additive inverse of any number can be defined as the number which when added to the given number whose additive inverse has been asked yields a result \[0\]so for the number asked in the question that is \[\dfrac{2}{8}\].

Complete step-by-step answer:
Here we are given a number that is \[\dfrac{2}{8}\]and we are asked to find the additive inverse of the number
So first of all we need to know about the additive inverse of a number. So the additive inverse of any number can be defined as the number which when added to the given number whose additive inverse has been asked yields a result\[0\]. This number (additive inverse) is also known as the opposite sign change, and negation. For a real number (the numbers which include both negative and positive numbers, rational and irrational numbers) it reverses its sign; the opposite of a positive number is a negative one and for the negative number it’s the positive one.
Now the number given in the question is \[\dfrac{2}{8}\]
 Let \[a\]be the additive inverse of the number \[\dfrac{2}{8}\]
So according to the definition of the additive inverse the equation becomes –
\[\dfrac{2}{8} + a = 0\]
\[a = - \dfrac{2}{8}\]
So the additive inverse of the number \[\dfrac{2}{8}\]is \[ - \dfrac{2}{8}\].

Note: for solving such kind of questions one should have the knowledge about the additive inverse of the number and the uses of the additive inverse of any number. The use of the additive inverse of any number includes helps in finding the negative of any number. It also helps in molding, simplifying and solving the equations ultimately