4.Express 0.99999… in the form p/q. Are you surprised by your answer?

With your teacher and classmates discuss why the answer makes sense.

With your teacher and classmates discuss why the answer makes sense.

Let,

x = 0.9999.... (i)

multiplying by eq. (i) by 10 , we get,

10 x = 9.9999......(ii)

On subtracting Eq. (ii) from Eq. (i), we get

(10 x – x) = (9.99999…) – (0.99999…)

i.e., 9x = 9

Hence, x = 1