Computer Oriented Numerical Methods (BCA) 3rd Sem Previous Year Solved Question Paper 2022

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15.

Find the relative error, absolute error and percentage error, if 2/3 is approximated to 0.6667.

Explanation

To find the relative error, absolute error, and percentage error when approximating a value, you need to have the true or actual value for comparison. Without the actual value, it's not possible to calculate these errors.

The relative error, absolute error, and percentage error are typically calculated as follows:

  1. Relative Error: Relative Error=Approximated ValueTrue ValueTrue ValueRelative Error=True ValueApproximated ValueTrue Value

  2. Absolute Error: Absolute Error=Approximated ValueTrue ValueAbsolute Error=Approximated ValueTrue Value

  3. Percentage Error: Percentage Error=(Absolute ErrorTrue Value)×100%Percentage Error=(True ValueAbsolute Error)×100%

Once you have the true value, you can use these formulas to calculate the errors. In your case, you provided the approximation (0.6667) but not the true value, so the errors cannot be determined without knowing the true value. Please provide the true value for a more accurate calculation.