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Number systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
The decimal representation of a rational number is :
  • A
    Either terminating or non-repeating.
  • B
    Always non-terminating.
  • C
    Always terminating.
  • D
    Either terminating or repeating.
✓

Answer

  1. Either terminating or repeating.

    Solution :

    Rational numbers can be represented in decimal forms rather than representing infractions.
    They can easily be represented as decimals by just dividing numerator 'p' by denominator 'q' $\Big($as rational numbers is in the form of $\frac{\text{p}
    {\text{q}}\Big)$
    A rational number can be expressed as a terminating or no terminating, recurring decimal.

    For example:
  1. $\frac{5}{2}=2.5,$
    $\frac{2}{8}=0.25,$
    7 = 7.0, etc., are rational numbers which are terminating decimals.
  1. $\frac{5}{9}=0.555555555.......=0.5,$
    $\frac{1}{6}=0.166666.....=0.16,$
    $\frac{9}{11}=0.818181$

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