MathematicsThe decimal expansion of is:

The decimal expansion of is:


  1. A
     A whole number
  2. B
     Terminating
  3. C
     Non – terminating but repeating
  4. D
     Non – terminating but non – repeating

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    Solution:

    Concept-  The value of is which is basically the fraction form or ratio of circumference of the circle to the diameter of the same circle. Now its decimal form is . This is not the exact value, as it doesn’t have an end.
    Terminating decimal – The decimal number which has an end and has a counting number of digits after the decimal point is known as the terminating decimal.
    Non – terminating decimal – A decimal number which doesn’t have an end or can have an infinite (non – countable) number of digits after the decimal point, is a non- terminating decimal.
    Now, as we know that the value of is and is the decimal form.
    Also, the decimal number includes both the fraction and the whole number.
    Here, after decimal digits are not repeating,
    It implies that is a non – terminating but non – repeating decimal.
    Hence, the correct answer is option (4) .
     
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