Between which 2 numbers does a rational number lie? ?

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Answer 1 · 2018-02-17T08:21:43

Between any two numbers (not complex), will a rational number lie.

Let's say you have a sequence

#1,2,3,4,...#

Between any two numbers here, a rational number (like #2#) will be there.

Let's get another sequence, such as all irrational numbers

#sqrt(2),sqrt(3),e,pi,...#

We know that #e~~2.7#, #pi~~3.14#, so we can find a rational number there, which would be #3# for example, because

#e<3<pi#

So, between any two numbers (except complex), will a rational number lie there somewhere.