The magic of math: when x ≠ x

What can I say; I think math is way cool.  Always Have.  Always Will.  Like when I start with X only to find out that it's no longer equal to itself.  Kinda ...

Let x = 0.999... (to ∞)

Now we can multiply this equation by 10 to get

10x = 9.999... (to ∞)

Now we have two equations and so far OK.  But let's subtract them:

     10x  = 9.999...

-      x   = 0.999...

________________

        9x = 9.0  which of course simplifies to x = 1.

And "1" is not the number I started with, which was 0.999... (to ∞) !!!

Or does 1 really equal the first number after all: 1 = 0.999... ???

Infinity is a mischievous concept and there's no telling what it's up to!

Quote

"Don't just learn the tricks of the trade. Learn the trade." James Bennis

Fun Facts to Know and Share

111,111,111  X  111,111,111 = 12,345,678,987,654,321

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