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

  • question_answer
    Which of the following rational numbers is expressible as a terminating decimal?

    A) \[\frac{124}{165}\]

    B) \[\frac{131}{30}\]

    C) \[\frac{2027}{625}\]

    D) \[\frac{1625}{462}\]

    Correct Answer: C

    Solution :

    Sol.      [c] a. \[\frac{124}{165}=\frac{124}{3\times 5\times 11}\] which is a non-terminating repeating decimal.
    b. \[\frac{131}{30}=\frac{131}{2\times 3\times 5}\], which is a non-terminating repeating decimal.
    c. \[\frac{2027}{625}=\frac{2027}{({{5}^{4}}\times {{2}^{0}})}\]
    So, it is expressible as a terminating decimal.
    d. \[\frac{1625}{462}=\frac{1625}{2\times 3\times 7\times 11}\] which is a non-terminating repeating decimal.


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