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If the theoretical value of a quantity is 3.142, and the calculated value is 3.16, what is the fractional error?

Sagot :

The fractional error for given example is 0.0057

For given question,

the theoretical value of a quantity is 3.142,

and the calculated value is 3.16

We know that, the fractional error is the ratio of the absolute difference and the accepted value.

Fractional error =  absolute difference / accepted value

Fractional error = |E - A| / A

Here, A = 3.142

E = 3.16

So, the absolute difference would be,

|E - A| = |3.16 - 3.142|

          = 0.018

Now we find the fractional error.

⇒ Fractional error = |E - A| / A

⇒ Fractional error = 0.018 / 3.142

⇒ Fractional error = 0.0057

Therefore, the fractional error for given example is 0.0057

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