x(10-1) = .99~ (10-1)

x = .99~

............................

10x-x = 9.99~ - .99~

9x = 9

x = 1

............................

x = 1

x = .99~

.99~ = 1

I hope explaining this way makes it clearer. There are two ways to solve the problem, both giving you "different" answers. You can substitute either into the equation and get the same answer so they must be equal. It is really interesting and confusing.

]]>When Geeks Dine Out

]]>OK, here's the fun part. We can easily say:

10x - x = ? (9x)

So long as we perform the operation on both sides, we can also say:

10x - x = 9.999… - .999…

Lo, and behold:

9x = 9, x = 1!

]]>$33.33 + $6.66 = $39.99

It doesn't round up, nor does it appear to equal $40.

I don't know what funky math class you took back in elementary school, but I'd go back and ask for my milk money back.

]]>If you take 1/3 and divide it all the way out to infinity, you have .33333...etc. If you add each digit of that together 3 times, all the way out, you get .99999....etc, all the way out to infinity, which doesn't add up to 1, obviously.

None of my math teachers have been able to answer it.

]]>