Uncertainty in multiplication and division

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Jul 24, 2020, 6:28:07 PM

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Jun 8, 2016, 5:41:06 PM

% e_{4} = \sqrt{% e_{1}^{2} + % e_{2}^{2} + % e_{3}^{2}}

$%e_4 = sqrt(%e_1^2+%e_2^2+%e_3^2)$

(% e_{1}) Percent relative uncertainty

$(%e_1) "Percent relative uncertainty"$

(% e_{2}) Percent relative uncertainty

$(%e_2)"Percent relative uncertainty"$

(% e_{3}) Percent relative uncertainty

$(%e_3)"Percent relative uncertainty"$

The uncertainty in multiplication and division equation calculates the relative uncertainty of measurements that are combined through multiplication or division. However, for the relative uncertainties must be all converted in to percentages to be used in the equation above. The equation for the uncertainty in multiplication and division is:

$% e_{4} = \sqrt{% e_{1}^{2} + % e_{2}^{2} + % e_{3}^{2}}$ $%e_4 = sqrt(%e_1^2 + %e_2^2 + %e_3^2)$

where

%e₁ is the percent relative uncertainty associated with the first measurement.
%e₂ is the percent relative uncertainty associated with the the second measurement.
%e₃ is the percent relative uncertainty associated with the third measurement.
%e₄ is the final relative uncertainty.

References

Harris, 9th Edition. Pp.53

[1] For the Spanish site click here

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• Analytical Chemistry Collection by Dasha

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