how come 0.9999_ _ _ _ in the form of p/q be 1?

Asked by UTKARSH SINGH | 9th Apr, 2011, 12:00: AM

Expert Answer:

Sol. Let x = 0.999...                ...(1)
Multiply by 10 both sides,
        10x = 9.999...                ...(2)
Subtracting (1) from (2), we get
         9x = 9
     =>  x = 1. 

Answered by  | 8th Apr, 2011, 09:09: PM

Queries asked on Sunday & after 7pm from Monday to Saturday will be answered after 12pm the next working day.