How to Calculate Maximum Error in a Sum with Uncertainties?

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Homework Statement


Given a=11+/-0.5, b=0.04562+/-0.0001, c=17200+/-100. Find the maximum value of the absolute error in a+2b-c.


Homework Equations


absolute value of (0.5+2(0.0001)-(-100)=100.5002

11-0.5=10.5
0.04562-0.0001=0.04552
17200+100=17300
absolute value of (10.5+2(0.04552)-17300)=17289.40896


The Attempt at a Solution


Which of these answers is the correct answer? Is it 100.5002 or 17289.40896?
 
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Nerd10 said:

Homework Statement


Given a=11+/-0.5, b=0.04562+/-0.0001, c=17200+/-100. Find the maximum value of the absolute error in a+2b-c.


Homework Equations


absolute value of (0.5+2(0.0001)-(-100)=100.5002

11-0.5=10.5
0.04562-0.0001=0.04552
17200+100=17300
absolute value of (10.5+2(0.04552)-17300)=17289.40896


The Attempt at a Solution


Which of these answers is the correct answer? Is it 100.5002 or 17289.40896?

Well, are you trying to find the absoulte value of the sum or of the error?
 
Maximum value of the absolute error, just what the question asks. Which of the answers is right?
 
Well, what do the two numbers you came up with represent?
 

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