Express 0.99999…. in the form
. Are you surprised by your answer? With your teacher and classmates discuss why the answer makes sense.
Solution:
Let
….. (i)
Multiplying equation (i) by 10 we get
….. (ii)
Subtracting equation (i) from (ii) we get,
This is indeed a surprising answer.
Therefore, 0.9999999….. is nothing but 1 when expressed in
form.
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