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Discussion :: Decimal Fraction

  1. A meter is taken to be equal to 39.3701 inches. If the value is approximated to 39+[7/20] inches, the relative percentage error is

    2. A.
    5%
    B.
    0.05%
    C.
    0.005%
    D.
    0.5%

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    Answer : Option B

    Explanation :

    A meter is exactly equal to 39.3701 inches
    The approximate value = 39+ [7/20] = 39.35 inches

    The relative percentage error = [[actual value - approximate value]/ [actual value]] *100
    Or, error % = [[39.3701 - 39.35]/ [39.3701]]* 100
    Or, error % = [0.0201/ 39.3701] * 100
    Or, error % = [20100/393701] = 0.05%

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