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The Bookwyrm

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The Bookwyrm last won the day on December 7 2024

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About The Bookwyrm

  • Birthday August 31

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  • Member Title
    Until we meet
  • Pronouns
    he/him
  • Location
    Where I need to be
  • Interests
    Pondering other worlds, whether those be the distant worlds in our own universe, or the worlds we can enter through the stories of others.
    ...
    Speaking of which, here are some worlds/stories that I like, in no particular pattern or order (though this is probably in need of some updating):
    The Cosmere
    Avatar: The Last Airbender
    The Legend of Zelda
    The Xenoblade Chronicles series
    Ender's Game, Speaker for the Dead, and adjacent books
    Project Hail Mary
    The Remembrance of Earth's Past
    Dune
    Interstellar
    Arrival
    Inception
    Tenet
    Princess Mononoke
    Castle in the Sky
    Fullmetal Alchemist
    Star Wars
    ...And probably a bunch of others I'm forgetting. This list is not comprehensive.

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  1. The Bookwyrm

    Say that x=.999...repeated.

    10x=9.999...repeated.

    10x=9+.999...repeated.

    10x=9+x

    -x on both sides...

    9x=9

    /9 on both sides...

    x=1

    BUT WAIT

    x=.999....repeated.

    SO WHICH IS IT?!

    1. Show previous comments  4 more
    2. dannnex

      dannnex

      more or less, yeah

      it argues that algebraic proofs for .99 repeating equaling one are sorta pointless, as if .99 repeating exists, then it has to equal one, because .99 repeating is being defined as the nth term of a sequence that approaches one in the first place.

      so proving this shouldn't be about proving equality, it should be proving that .99 repeating is a number in the first place.

      and then, if .99 repeating is a number, you'd also have to prove that you can actually perform mathematical operations on it. Like, prove that .99 repeating *10 = 9.99 repeating.

      he shows a proof that he feels is actually adequate at about 6:30 into the video.

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      I'm a bit late, but here's another proof that helped me out.

      mqdefault_6s.webp?du=3000&sqp=CLOWz5wG&r

    4. Enter a username

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      Okay here's a link that's actually a link

      I'm Settling This Math Debate Forever (.99 repeating = 1)

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