10th Class Mathematics Real Numbers Question Bank Case Based MCQs - Real Number

  • question_answer
    \[686/\left( {{2}^{2}}\times {{5}^{7}}\times {{7}^{3}} \right)\]is a _____ decimal..

    A) terminating

    B) recurring

    C) non-terminating and non-recurring

    D) None of the above

    Correct Answer: A

    Solution :

    \[\frac{686}{{{2}^{2}}\times {{5}^{7}}\times {{7}^{3}}}=\frac{2\times {{7}^{3}}}{{{2}^{2}}\times {{5}^{7}}\times {{7}^{3}}}=\frac{2}{{{2}^{2}}\times {{5}^{7}}}\] denominator is in the form of \[{{2}^{n}}{{5}^{m}}\]so terminating.


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