Wed June 20, 2012 By:

Could you elaborate on combination of errors. Im unable to find any material on it

Expert Reply
Sat June 23, 2012
Sppose there are two quantities A and B
with respective errors as: ?A and ?B
thus on addition as Z = A + B
 thus Z+?Z = (A+?A)+(B+?B)
 max. |?Z| = |?A|+|?B|
similar is for subtraction
and in case of multiplication Z=AB
thus solving, Z+?Z = AB+B?A+A?B+?A?B
dividing by Z=AB
we get max. fractional error as
|?Z/Z| = |?A/A| + |?B/B|
similar is for division
Ask the Expert