Question

Show that 0.9999 can be expressed in the form of p/ q where p and q are integers and q is not equal to 0

Answer 1

Ans:

:x= 0.99999..... ==>1st equation

multiplying first equation by 10

10x = 10 × (0.999)

10x = 9.999 ==>2nd equation

subtract both equation (2nd-1st)

10 x = 9.999....

x = 0.999....

_____________

9 x = 9

x=9/9