eli5 Is there a reason that the decimals of pi go on forever (or at least appear to)? Or do it just be like that?

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Edit: Thanks for the answers everyone! From what I can gather, pi just do be like that, and other irrational numbers be like that too.

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Anonymous 0 Comments

Take a single pixel in Microsoft paint, or a single Block in Minecraft. That’s a super small, not very accurate circle right? Now make a bigger circle out of those blocks, and the bigger the circle you make the more accurate a circle it is right?

Imagine making a circle the circumference of the whole universe, but you’re still making it out of atom sized pixels. It’s super accurate, literally can’t get any closer to a circle… And yet, it still has points and corners that prevent it from being perfect.

The “ideal image” of a circle cannot ever exist truly in a world built of smaller things. It’ll always be bumpy, so there’s always room mathematically to make such a circle bigger and more accurate. But no matter how accurate you get, it’s still not a perfect circle, so the measurement of Pi gets closer and closer to “true” but never actually reaches “perfect” or “finished”.

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