Density property
In simple terms, it states that given any two real numbers 'a’ and 'b’ with a < b, there exists a rational number 'r' such that a < r < b. From the above it follows that between 'a’ and 'b’ there are infinitely many distinct rational numbers
We can always find another real number
that lies between any two real numbers.
ie:
...0-1-2-3-4
...(1)-(1.5)-(2)...
...(1.5)-(1.75)-(2)
and so on
hope you understand