There is no infinite rational number. There are infinitely many of them but that is not the same.
Chat with our AI personalities
Yes. There are infinite whole numbers, and whole numbers are rational.
There are countably infinite rational numbers between any two numbers.
There is an infinite number of them between any two rational numbers.
That 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.
There are an infinite number of rational numbers between any two given numbers.