There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
Take the average of the two. The average of two rational numbers is (a) rational, and (b) between the two numbers.
Yes.
There are countably infinite rational numbers between any two numbers.
There is an infinite number of them between any two rational numbers.
Find the arithmetic average of the two rational numbers. It will be a rational number and will be between the two numbers.
There are no consecutive rational numbers. Between any two rational numbers there are an infinity of rational numbers.
There are infinitely many rational numbers between any two rational numbers. And the cardinality of irrational numbers between any two rational numbers is even greater.
There are more irrational numbers between any two rational numbers than there are rational numbers in total.
There are countably infinite (aleph-null) rational numbers between any two rational numbers.
There are an infinite number of rational numbers between any two rational numbers.
Take the average of the two. The average of two rational numbers is (a) rational, and (b) between the two numbers.
no
Yes.
Add them together and divide by 2 will give one of the rational numbers between two given rational numbers.
There are countably infinite rational numbers between any two numbers.
Rational numbers are infinitely dense and that means that there are infiitely many rational numbers between any two numbers.