Keepin' it real and rational 😉...

Alright, here's a fun math fact that I think can be appreciated by any major:

--> ANY real number (including irrational numbers) can be approximated to ANY desired degree of accuracy using rational numbers with finite decimal representations.

Those who enjoy (or want to start enjoying 😂) proving such statements rigorously can engage with the following theorem (here _ denotes subscript):

Theorem: Assume x >= 0. Then for every integer n >= 1 there is a finite decimal r_n = a_0.a_1a_2....a_n such that r_n <= x < r_n + 1/10^n

[To clarify what is meant by r_n = a_0.a_1a_2....a_n, here's an example: For the number r_n = 8.1472 we have a_0 = 8, a_1 = 1, a_2 = 4, a_3 = 7 and a_4 = 2]

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