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∙ 8y agoThat is the property of infinite density of rational numbers. If x and y are any two rational numbers then w = (x + y)/2 is a rational number between them. And then there is a rational number between x and w. This process can be continued without end.
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∙ 7y agoThere is an infinite number of them between any two rational numbers.
There are an infinite number of rational numbers between any two given numbers.
They are the infinite number of rational numbers between 0 and +6
There are an infinite number of rational numbers between these two numbers, but the only positive integer between these numbers is 6.
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.
-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.
There are an infinite number of rational numbers between any two rational numbers.
There is an infinite number of them between any two rational numbers.
There are [countably] infinite rational number between any two rational numbers. There is, therefore, no maximum.
yes it can
There are an infinite number of rational numbers between any two numbers.
There are an infinite number of rational numbers between any two given numbers.
There exists infinite number of rational numbers between 0 & -1.
There are countably infinite (aleph-null) rational numbers between any two rational numbers.
They are the infinite number of rational numbers between 0 and +6
There are an infinite number of rational numbers between these two numbers, but the only positive integer between these numbers is 6.
Infinitely many! There are an infinite number of rational numbers between any two irrational numbers (they will more than likely have very large numerators and denominators), and there are an infinite number of irrational numbers between any two rational numbers.