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9.999... reasons that .999... = 1

Vihart Vihart·69 videos
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Published on Mar 24, 2012

Point Nine Repeating Equals One!
9.999... reasons in 9.999... minutes.

Bonus points if you can name all 9.999... lords a-leaping.

Dear YouTube, wouldn't it be nice if I could include the full script with this video? A larger character limit would not be unreasonable.

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Top Comments

  • Urketadic

    OMG WHAT THE FUCK??

    · 7

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  • TheCheungDan

    Check at the video length, it is 9.9999999999999999999999999999­99999999... mins!!!

    · 5

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Video Responses


All Comments (8,263)

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  • Houssein Montgomery

    10 minus 0.9 repeating is 9? That's only true if 0.9 repeating is actually 1, which is what you're trying to prove.You can't change 0.9 repeating to 1 in the middle of your proof.

    ·

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  • SoMeOnERokaz

    Most, if not all, of the greek paradoxes are solved with infinite series and calculus :P

    ·

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    in reply to GoldenKingStudio (Show the comment)
  • GoldenKingStudio

    Oh you mentioned it! Of course!

    ·

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    in reply to GoldenKingStudio (Show the comment)
  • GoldenKingStudio

    These proofs, especially # 7, remind me so much of ancient Greek division paradoxes, or modern day supertasks, where you break up a task into an infinite number of parts in order to say the task is impossible. Look them up and it will possibly shed some new information on this problem.

    ·

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  • th6936

    yeah you also have to have a leap of faith (limit) for this is be accurate, and that definitely was not in the video. The video did however reference calculus previously however she should have been a bit more clear.

    ·

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    in reply to Nicholas Pipitone (Show the comment)
  • mmerlinmm

    Apologies. Commented before finishing video... Shame...

    ·

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  • mmerlinmm

    Vi Hart dear: You must read about surreal numbers. In the surreal numbers there is a number 1-epsilon distinct from 1 and well defined. Epsilon is a well defined 1/countable infinity. Check them out!

    ·

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  • MuffinsAPlenty

    Excellent idea! Thank you.

    ·

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    in reply to LawlFrank (Show the comment)
  • OfcJ9

    How is .99999 = 1 without rounding?

    ·

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