10th Class Mathematics Real Numbers Question Bank MCQs - Real Numbers

  • question_answer
    The decimal expansion of the rational number \[\frac{14587}{1250}\]will terminate after:                     (Ncert exemplar)

    A) one decimal place

    B) two decimal places

    C) three decimal places

    D) four decimal places

    Correct Answer: D

    Solution :

    Sol.      [d] We have,
    \[\frac{14587}{1250}=\frac{14587}{{{2}^{1}}\times {{5}^{4}}}=\frac{14587}{10\times {{5}^{3}}}\times \frac{{{(2)}^{3}}}{{{(2)}^{3}}}\]
    \[\frac{14587\times 8}{10\times 1000}=\frac{116696}{10000}=11.6696\]
    Hence, given rational number will terminate after four decimal places.


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