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9th Class Mathematics Number System and its Operations Question Bank Number Systems

  • question_answer
    Find the value of \[0.9999.......\] in the form of\[\frac{p}{q}\](\[p,\,\,q\in Z\]and\[q\ne 0\])

    A) \[\frac{1}{9}\]              

    B)        \[\frac{2}{9}\]  

    C) \[\frac{9}{10}\]             

    D) \[1\]                 

    Correct Answer: D

    Solution :

    Let \[x=0.9999..........\] \[\Rightarrow \]\[10\times x=10\times 0.9999........\] \[\Rightarrow \]\[x=1\] \[\therefore \]\[0.9999.......=0.\bar{9}=1\]


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