Comment on I just cited myself.

• ArchAengelus@lemmy.dbzer0.com ⁨4⁩ ⁨months⁩ ago

  In this context, yes, because of the cancellation on the fractions when you recover.

  1/3 x 3 = 1

  I would say without the context, there is an infinitesimal difference. The approximation solution above essentially ignores the problem which is more of a functional flaw in base 10 than a real number theory issue

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  • Shampiss@sh.itjust.works ⁨4⁩ ⁨months⁩ ago

    The context doesn’t make a difference

    In base 10 --> 1/3 is 0.333…

    In base 12 --> 1/3 is 3

    But they’re both the same number.

    Base 10 simply is not capable of displaying it in a concise format. We could say that this is a notation issue. No notation is perfect. Base 10 has some confusing implications

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    • ColeSloth@discuss.tchncs.de ⁨4⁩ ⁨months⁩ ago

      They’re different numbers. Base 10 isn’t perfect and can’t do everything just right, so you end up with irrational numbers that go on forever, sometimes.

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  • chaonaut@lemmy.world ⁨4⁩ ⁨months⁩ ago

    This seems to be conflating 0.333…3 with 0.333… One is infinitesimally close to 1/3, the other is a decimal representation of 1/3. Indeed, if 1-0.999… resulted in anything other than 0, that would necessarily be a number with more significant digits than 0.999… which would mean that the … failed to be an infinite repetition.

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• ColeSloth@discuss.tchncs.de ⁨4⁩ ⁨months⁩ ago

  You’re just rounding up an irrational number. You have a non terminating, non repeating number, that will go on forever, because it can never actually get up to its whole value.

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  • WldFyre@lemm.ee ⁨4⁩ ⁨months⁩ ago

    1/3 is a rational number, because it can be depicted by a ratio of two integers. You clearly don’t know what you’re talking about, you’re getting basic algebra level facts wrong. Maybe take a hint and read some real math instead of relying on your bad intuition.

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    • ColeSloth@discuss.tchncs.de ⁨4⁩ ⁨months⁩ ago

      1/3 is rational.

      .3333… is not. You can’t treat fractions the same as our base 10 number system. They don’t all have direct conversions. Hence, why you can have a perfect fraction of a third, but not a perfect 1/3 written out in base 10.

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      • WldFyre@lemm.ee ⁨4⁩ ⁨months⁩ ago

        0.333… exactly equals 1/3 in base 10. What you are saying is factually incorrect and literally nonsense. You learn this in high school level math classes. Link literally any source that supports your position.

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      • pyre@lemmy.world ⁨4⁩ ⁨months⁩ ago

        .333… is rational.

        at least we finally found your problem: you don’t know what rational and irrational mean. the clue is in the name.

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  • pyre@lemmy.world ⁨4⁩ ⁨months⁩ ago

    non repeating

    it’s literally repeating

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