Comment on I just cited myself.

• Bertuccio@lemmy.world ⁨5⁩ ⁨months⁩ ago

  We’ve found a time traveller from ancient Greece…

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• WldFyre@lemm.ee ⁨5⁩ ⁨months⁩ ago

  1/3=0.333… 2/3=0.666… 3/3=0.999…=1

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  • ColeSloth@discuss.tchncs.de ⁨5⁩ ⁨months⁩ ago

    Fractions and base 10 are two different systems. You’re only approximating what 1/3 is when you write out 0.3333…

    The … is because you can’t actually make it correct in base 10.

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    • WldFyre@lemm.ee ⁨5⁩ ⁨months⁩ ago

      The fractions are still in base 10 lmfao literally what the fuck are you talking about and where are getting this from?

      You keep getting basic shit wrong, and it makes you look dumb. Stop talking and go read a wiki.

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    • myslsl@lemmy.world ⁨5⁩ ⁨months⁩ ago

      What exactly do you think notations like 0.999… and 0.333… mean?

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      • ColeSloth@discuss.tchncs.de ⁨5⁩ ⁨months⁩ ago

        That it repeats forever, to no end. Because it can never actually be correct, just that the difference becomes insignificant.

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    • apolo399@lemmy.world ⁨5⁩ ⁨months⁩ ago

      Sure, let’s do it in base 3. 3 in base 3 is 10, and 3^(-1) is 10^(-1), so:

      1/3 in base 10 = 1/10 in base 3 0.3… in base 10 = 0.1 in base 3

      Multiply by 3 on both sides:

      3 × 0.3… in base 10 = 10 × 0.1 in base 3 0.9… in base 10 = 1 in base 3.

      But 1 in base 3 is also 1 in base 10, so:

      0.9… in base 10 = 1 in base 10

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      • ColeSloth@discuss.tchncs.de ⁨5⁩ ⁨months⁩ ago

        You’re having to use … to make your conversion again. If you need to to an irrational number to make your equation correct, it isn’t really correct.

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