Question

find the percentage error of 625.483 is approximate to the significant figures.​

Answer 1

The percentage error of 625.483 is approximate to three significant figures is 0.077%

Given :

625.483 is approximate to three significant figures

To find :

The percentage error of 625.483 is approximate to three significant figures

Solution :

Step 1 of 3 :

Find absolute error

Here it is given that 625.483 is approximate to three significant figures

Truth value = 625.483

Approximate value = 625

Absolute error

$\sf = E_a$

$\displaystyle \sf{ = |Truth \: value - Approximate \: value| }$

$\displaystyle \sf{ = |625.483 - 625| }$

$\displaystyle \sf{ = |625.483 - 625| }$

$\displaystyle \sf{ = 0.483 }$

Step 2 of 3 :

Find relative error

The relative error

$\sf = E_r$

$\displaystyle \sf{ = \frac{E_a}{Truth \: value} }$

$\displaystyle \sf{ = \frac{E_a}{Truth \: value} }$

$\displaystyle \sf{ = \frac{0.483}{625.483} }$

$\displaystyle \sf{ = 0.00077 }$

Step 3 of 3 :

Find percentage error

The percentage error

$\sf = E_p$

$\sf = E_r \times 100\%$

$\sf = 0.00077 \times 100\%$

$\sf = 0.077 \%$

Correct question : Find percentage error of 625.483 is approximate to three significant figures