0.999....=1

[Barozi]

JRPGfan said:

Teeqoz said:

Because what is more fun than discussing math, right?

Also 0.999... is here used to denote a zero, followed by infinite 9s. Also reffered to as 0.9 reccurring, and many other things.

If                  x=0.999...

10x=9.999...

10x=9+0.999...

10x=9+x

 10x-x=9

 9x=9

 9x/9=9/9

  x=1

 

How do you go from:

10x = 9+x

to

10x-x=9   <---- (isnt this part wrong?)

 

Shouldnt it be:

(10x)/x = 9

your doing division by X, on both sides of the equation right? to move the x on the side of the 9, across.

no he's subtracting x.

If he was dividing by x it would be as follows:

10x = 9+x

10*(x/x) = 9 + (x/x)

Obviously (x/x) is 1, so

10*1 = 9 + 1

10 = 10

considering you want a result that is "x = ..." it wouldn't make sense to divide by x in that case.