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chapotraphouse @hexbear.net Tomorrow_Farewell [any, they/them] @hexbear.net

Mothematician post

This little guy craves the light of knowledge and wants to know why 0.999... = 1. He wants rigour, but he does accept proofs starting with any sort of premise.

Enlighten him.

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  • so, start with:

    x = 0.999...

    now multiply each side by 10

    10x = 9.9999....

    now we subtract x from the left side, and 0.999... from the right, which is fine because they are equal:

    9x = 9

    and from there it should be fairly obvious that x is also equal to 1, which means 0.999... is also equal to 1

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