Lets Settle this Mathematically

If x=0.9999…

10x = 9.9999…
10x – x = 9.9999… – 0.9999…
9x = 9
x=1

Therefore 0.9999… = 1

And the universe implodes.

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About Len

Does stuff and things and stuff
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4 Responses to Lets Settle this Mathematically

  1. Adam says:

    again – stop looking at my fucking maths coursework….there’s three other proofs i can show you that PROVE that 0.9r=1

    Firstly, can you think of a number that lies between 0.9r and 1? no…?

  2. rat_attack says:

    ^^^

    What about 1 divided by 1.1r? Would that just be plain old 0.9?

    My maths skills are severely limited, btw. I’m not bad with Venn diagrams, though, provided there are only two circles.

  3. Jake says:

    Granted i like this, very smart, and true, but isnt that down to the error of x10 so the decimal point is “moved” one place, to cause the slight difference and rounding :P
    im studying maths at A level at the moment, just thought i’d give my view lol

  4. Ian says:

    Ummm… This is actually correct and is what happens when you start messing around with infinity.

    The other to show this is:

    1/3 = 0.33333r
    2/3 = 0.66666r

    and so… 3/3 = 1 = 0.9999r

    or you can just do 1/3 * 3 = 1 == 0.33333r * 3 = 0.99999r

    Did a maths degree, albeit not in number theory so I can’t give the formal proof; but it’s on mathworld.wolfram

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