Question

Write formulas for absolute error and relative error. If the represented value of X1 is 3.1428 and its actual value is Xi = 3.14285, find absolute and relative error.​

Answer 1

Answer:

Photosynthesis is a process used by plants and other organisms to convert light energy into chemical energy that, through cellular respiration, can later be released to fuel the organism's metabolic activities.

Answer 2

The given question is Write formulas for absolute error and relative error. If the represented value of X1 is 3.1428 and its actual value is Xi = 3.14285

we have to find the absolute and relative error.

The formula to find the absolute error is the subtraction of the actual value and the obtained value

The formula to find the relative error is the division of absolute error by the real value

The obtained value or represented value is given as 3.1428

The real value or the actual value is given as

3.14285

let us find the absolute error, the formula is

actual value - obtained value =3.14285-3.1428

The absolute error value is 0.00005

The relative error is found by

$\frac{absolute \: error}{actual \: value}$

Substitute the values in the formula we get,

$\frac{0.00005}{3.14285} = 1.590 \times {10}^{ - 5}$

The exact value of the relative error is

$1.590 \times {10}^ { - 5 } \times 100 \\ 1.590 \times {10}^{ - 5} \times {10}^{2} \\ 1.590 \times {10}^{ - 3}$

The exact value will be the

$0.001590percent$

The final answer is 0.001590%

the absolute error is 0.00005 and the relative error is 0.001590%

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