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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.Q.4

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What is the solution of ncert class 9th chapter number systems  of exercise 1.3 question number 4 , how i solve this question in a easiest and simple way . Give me the best solution of this important question also find the best method of this question.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.

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  1. Assume that x = 0.9999…..Eq (a)

    Multiplying both sides by 10,

    10x = 9.9999…. Eq. (b)

    Eq.(b) – Eq.(a), we get

    (10x = 9.9999)-(x = 0.9999…)

    9x = 9

    x = 1

    The difference between 1 and 0.999999 is 0.000001 which is negligible.

    Hence, we can conclude that, 0.999 is too much near 1, therefore, 1 as the answer can be justified.

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