How to Calculate 1.23 ± 0.03 + Pi?

[Grapz]

Homework Statement

Hello, I'm doing an error analysis problem and I'm not sure how to compute this.

What is 1.23 +/- 0.03 + pi

Homework Equations

I know the equation for the error of two additions. Error = sqrt of ( error in x ^2 + error in y ^ 2 )

The Attempt at a Solution

But I'm not sure if there's error in pi, so basically i just did 1.23 + pi + / - 0.03

i am not sure if this is right can someone clarify

 

[Mindscrape]

It really depends on the context, but you should be right. Essentially what you are saying is that the error in pi is zero, since pi is a known constant. So the adding in quadrature formula would give you just the original error.

 

[ogb p]

It is important to clarify what the errors represent in this calculation. Is the error of +/- 0.03 a measurement error or a precision error? If it is a measurement error, then it would make sense to include it in the calculation as it reflects the uncertainty in the measurement of 1.23. If it is a precision error, then it may not be necessary to include it in the calculation.

Assuming it is a measurement error, the correct way to calculate 1.23 + pi +/- 0.03 would be to first calculate the sum of 1.23 and pi (which is approximately 4.357), and then add the error in measurement (0.03) to get a final result of 4.387 +/- 0.03. It is important to note that the error in measurement may propagate through the calculation and affect the final result. Therefore, it is important to consider the errors in all numbers involved in the calculation.

If the error of +/- 0.03 is a precision error, then it may not be necessary to include it in the calculation. In this case, the final result would simply be 4.357. It is important to clarify the type of error being considered in order to accurately calculate the final result.