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

  • question_answer
    What type of decimal form will the number \[\frac{368}{1050}\]show?

    A) Terminating

    B) Non-terminating repeating

    C) Non-terminating non-repeating

    D) None of the above

    Correct Answer: B

    Solution :

    Sol.      [b] We have, \[\frac{368}{1050}=\frac{184}{525}=\frac{{{2}^{3}}\times 23}{{{5}^{2}}\times 3\times 7}\]
    Clearly, prime factorisation of the denominator is not of the form \[{{2}^{m}}\times {{5}^{n}}.\] Hence, decimal expansion of \[\frac{368}{1050}\] is non-terminating repeating.


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