How to Calculate Absolute Error Correctly?

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To calculate the absolute error for 0.0342 m with a 5% tolerance, the correct method is to multiply 0.0342 by 0.05, resulting in an absolute error of 0.00171 m, which rounds to 0.002 m, not 2 m. For the 0.5% tolerance, the calculation should be 0.0342 m multiplied by 0.005, yielding an absolute error of 0.000171 m, which rounds to 0.0002 m, not 2 m. The initial calculations presented were incorrect due to misapplication of percentage calculations and rounding. It's essential to follow the correct formula for absolute error to ensure accuracy. Accurate calculations are crucial for precise measurements in scientific contexts.
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calculate the absolute error of
a) 0.0342 m +- 5%
b) 0.0342 m +- 0.5%


Did I do these correctly?

a) 0.342*.05=1.71 so round it to 2 m

b) .0342*.005=1.71 (there was a 10^something after these numbers on the calculator) so round it up to 2 meters again

Did I do those correctly?
 
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Next time to use the HW template, so the post is well-organized.

For your answers to the problem, yes they are right.
 
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