The additive identity for rational numbers is 0. It is the only rational number such that, for any rational number x,
x + 0 = 0 + x = x
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If the opposite is meant to be the additive opposite and not the multiplicative opposite, then their sum is zero. The reason is that is what defines an additive opposite!
I cannot see any numbers. If I were to guess what numbers were meant to be in the question then I may as well make up my own questions and answer them!
A rational number can be expressed as a fraction whereas an irrational number can't.
-- First of all, the space "between 5 and 5" is zero, so there are no numbersof any kind in there.Let's assume that you meant to type "5 and 15".-- A lot of people don't realize that any number you can completely write downon paper is rational. So just pick any numbers you like in that range, write themdown on paper, and you'll have your list of rational numbers.
A numerical set would be a set whose members are numbers: {5, -3, 0, 3/7, sqrt(2), pi, ...}. Your question might also be answered by explaining what is meant by the sets of Natural numbers, Whole numbers, Integers, Rational numbers, etc. If that's what you're looking for, it's a longer story . . .