Hire some DIFIRENT numbers:

1

0.9...9=x

0.9...8

0.9...7

.......

0.9...1

0.9...0

0.9..-1

.........

0.0...1=y

0

x=0.9.. / lets *10

0.9..+0.9..+0.9.. ten times =(1-y)+(1-y).. ten times SO

10x= 10-10y / -0.9...

10x-x=(10-10y)-(1-y)

9x=9-9y

9x=9-9y

x=(9-9y)/9 and this is NOT 9 !

x=9(1-y)/9

x=0.9....

:)

This last one clearly shows that0.9...9 is not some "magic" number its number like anyother. This 0.00...1 is more "special" but is stillordinary number.