Is there any explanation behind this?
In: Mathematics
Pi is an irrational number. This means that it can’t be written as the ratio between two integers. This is not a special property of pi in any way – many numbers are irrational, for example the square roots of 2, 3, 5 (and of any number that isn’t a square of a whole number), and others. In fact, there are more irrational numbers than rational!
Anyway, if you try to write an irrational numbers – any irrational number – as a decimal fraction, you’ll end up with an infinite and non repeating sequence of digits.
The proof that pi is irrational however is a bit too complicated for ELI5.
Note: there is a hypothesis that pi is a *normal* number. If pi is a normal number, then it means that every finite sequence of digits appears in pi. However there is no proof yet that pi is normal.
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