Question

Express 0.99999…. in the formp/q and discuss why the answer makes sense.​

Answer 1

Answer:

Let x=0.99999⋯   ...(1)

Multiply eq (1) by 10 we get

10x=9.9999⋯    ...(2)

Substract (1) from (2), we get

⇒9x=9

⇒x=11=1

Here, 

p=1 and q=1

Thus, 

0.9999⋯=1