- #1

songoku

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- Homework Statement
- This is not homework.

I want to know how to derive the formula to calculate uncertainty

- Relevant Equations
- Uncertainty

Let say we have two quantities, A and B.

A = a ± Δa and B = b ± Δb, where a and b are the value of A and B and Δa and Δb are their absolute uncertainty respectively.

Now we have a formula of C, where C = A + B. The absolute uncertainty is Δc = Δa + Δb. How to derive this formula? Is the derivation still in the scope of high school level?

I also want to know about multiplication, let say D = A x B. The formula for uncertainty of D is ##\frac{\Delta d}{d}=\frac{\Delta a}{a}+\frac{\Delta b}{b}##. How to derive this formula too?

Thanks

A = a ± Δa and B = b ± Δb, where a and b are the value of A and B and Δa and Δb are their absolute uncertainty respectively.

Now we have a formula of C, where C = A + B. The absolute uncertainty is Δc = Δa + Δb. How to derive this formula? Is the derivation still in the scope of high school level?

I also want to know about multiplication, let say D = A x B. The formula for uncertainty of D is ##\frac{\Delta d}{d}=\frac{\Delta a}{a}+\frac{\Delta b}{b}##. How to derive this formula too?

Thanks