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.
-- 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.
Yes. There are infinite whole numbers, and whole numbers are rational.
Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)Both are part of the real numbers; both are infinite sets. (However, there are more irrational than rational numbers.)
yes it can
There are an infinite number of them.
There are countably infinite rational numbers between any two numbers.
For any given subset, yes, because there are an infinite number of irrational numbers for each rational number. But for the set of ALL real numbers, both are infinite in number, even though the vast majority of real numbers would be irrational.
Yes, there are countably infinite rationals but uncountably infinite irrationals.
There is an infinite number of them between any two rational numbers.
There are countably infinite (aleph-null) rational numbers 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.