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# 3 Rules for Determining the Uncertainty in the Resu lts of Ar ithmat ic Calculations The rules for determining the uncertainty or error in the number/measured quantity in arithmetic operations can be understood from the following examples. (1) If the length and breadth of a thin rectangular sheet are measured, using a metre scale as 16.2 cm and, 10.1 cm respectively, there are three significant figures in each measurement. It means that the length l may be written as l = 16.2 � 0.1 cm = 16.2 cm � 0.6 %. Similarly, the breadth b may be written as b = 10.1 � 0.1 cm = 10.1 cm � 1 % Then, the error of the product of two (or more) experimental values, using the combination of errors rule, will be l b = 163.62 cm2 + 1.6% = 163.62 + 2.6 cm2 This leads us to quote the final result as l b = 164 + 3 cm2 Here 3 cm2 is the uncertainty or error in the estimation of area of rectangular sheet.

Asked by manisha 28th July 2012, 11:58 PM
If you are not able to understand how we get the percentage error in calculations, it can be easily determined from
A = A � ?A

as percentage error:  ?A/A x 100
Answered by Expert 5th August 2012, 9:30 AM
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