Skip to main content

Does 0.9999999 (repeating) Equal 1?

Okay, so yesterday I watched a video where this guy proposes a proof that 0.99999 (repeating to infinity) actually equals 1.  While his proof appears logical on the surface, it feels like utter nonsense.  Or to use real logic, anything based upon a falsehood is true.

Thinking about it, I decided that 0.99999 might be equal to 1.  Here's my logic:

0.9 = 0.3 x 3

0.3 x 3 = ⅓ x 3

⅓ x 3 = 1
Therefore,  0.9 = 1

What do you think?  Does this make sense?


  1. Yup, this is a correct proof that I was taught in high school. Hurt my brain at the time; now I'm more comfortable with it. =)

    1. I don't remember this from high school. But it almost hurts my brain now. :-D


Post a Comment

Feel free to agree or disagree, just be polite.

Popular posts from this blog

Wordless Wednesday: Dymaxion Car

By Supermac1961 from CHAFFORD HUNDRED, England - Type Dymaxion, 1933, CC BY 2.0  

We Now Interrupt this Blog For a Funeral

  The perfect gentle man  dog Last week, I received a terrifying phone call.  My son's dog, Kareem was hit by a car.  The entire situation does not bear repeating, because it was an unfortunate accident.  There was no way anyone without the ability to see the future could have prevented it. All Wednesday, we sat around on pins and needles as the status reports came in.  Kareem seemed to be okay; his front left leg wasn't working but didn't look broken.  Probably nerve damage that may or may not heal on its own.  His right eye was swollen - would he lose his eye? Kareem lasted for over 10 hours.  Then the call came in.  Kareem went into cardiac arrest. He died. Waiting for his daddy (my son) to come home Wednesday night was one of those times that demark a before and after time - an event that makes a lasting impression, creating an internal division in your personal history.  Before I had a grandpuppy named Kareem who loved it when I sang to him.  After ... well, after my f

Wordless Wednesday: Floating to the Wedding

Due to flooding, this couple floated to the temple in a large cooking pot. Alappuzha, Kerala, India @Shilpa1308/Twitter