If we’re measuring a length of pi centimeters, why does it look finite but the number of digits is going on forever? It looks like that it’s moving small amount of time every time. Same with 0.5555555… or any number with infinite decimal places. I can’t wrap my head around it.
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You need to realise that you are talking about two different numbers:
Pi, which is finite.
The number of digits in pi, which is infinite.
For any given base, there are some numbers that can not be expressed with a finite number of digits. Take 1/3, for example. In base 10, you need infinitely many digits to write the exact value of this number. Any finite length of 0.33333… will always be a tiny, tiny bit less than 1/3.
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