-- First of all, the space "between 5 and 5" is zero, so there are no numbers
of 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 down
on paper is rational. So just pick any numbers you like in that range, write them
down on paper, and you'll have your list of rational numbers.
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-2.99999 and 4.99999
When you consider how many rational numbers there are, the difference between any two of them is hardly ever an integer. Examples: 5 - 4/5 = 41/5 5/6 - 2/3 = 1/6 3.274 - 1.368 = 1.906 All of the nine numbers in these examples are rational numbers.
A rational number is a number that can be expressed as the ratio between two integers, so 5 and 6 and both rational themselves (5/1 and 6/1 respectively). As there is an infinite number of integers, there are an infinite number of rational numbers between 5 and 6, but an example is 5.5 (11/2).No, the number between 5 and 6 is Derf.haha
They are not rational, that is, they cannot be expressed as a ratio of two integers.Their decimal equivalent is infinitely long and non-recurring.Together with rational numbers, they form the set of real numbers,Rational numbers are countably infinite, irrational numbers are uncountably infinite.As a result, there are more irrational numbers between 0 and 1 than there are rational numbers - in total!
There are infinitely many of them.Some of them are given by:All numbers of the form 3n+1/n for n ∈ the prime numbers are rational numbers between 3 & 4, and as there are an infinite number of prime numbers, there are an infinite number of these.All numbers of the form 4n+1/n for n ∈ the prime numbers are rational numbers between 4 & 5, and as there are an infinite number of prime numbers, there are an infinite number of these.There are still more than the infinitely many given above.