Wednesday, 3 April 2013

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

8 comments:

  1. What is the exact value of 0.999999........ in p/q

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  2. It can be directly 9-0/9
    By a formula all bumbers -non repeating numbers / (9 for number of repeatimg numbers ) (0 for number of repeating numbers after decimal)

    Exampel ; 1.29890909090909.....
    129890-1298 / 99000
    128592 / 99000

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    Replies
    1. a very very verrrrrryyýyyyyy big thanks......you are great

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