There are countably infinite rational numbers between any two numbers.
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There are infinitely many.
Take the average of the two. The average of two rational numbers is (a) rational, and (b) between the two numbers.
A rational number is a number that can be written in the form a/b, where "a" and "b" are integers and b is not equal to zero. For example, whole numbers are rational numbers.
If a and b are rational, then a + p(b-a) where p is any number between 0 and 1, is rational and lies between a and b. So pick any 3 values for p. If a and b are not rational, then find rationals u and v such that a < u < v < b and repeat as above. Cantor proved that between any two real numbers there are an infinite number of rationals which ensures the existence of u and v.
Subtract rational number A from the other rational number B. If the answer is> 0 then B is bigger than A= 0 then B is equal to A< 0 then B is smaller than A