Question 21491
Hello There:

Consider these two rational numbers: 0 and 1.  (We can think of them as rational numbers because they can be expressed as 0/1 and 1/1.

Between them is the rational number 1/10.

Between them is the rational number 1/100.

And so it goes; all of these numbers are between 0/1 and 1/1:

1/1000
1/10000
1/100000
1/1000000

Since this goes on forever, we can say that there is a rational number between every two rational numbers.

~ Mark