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.

Question 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.
Solution: Let x = 0.9999…
There is only one repeating digit so multiply by 10 we get 
10x = 9.9999…
x = 0.9999…
subtract x now we get 
9x = 9
Divide by 9 we get 
x = 9/9 = 1
It justify the answer because approximated value of  0.999999......... is 1