How Do You Convert Measurement Uncertainty When Changing Units?

[Dynamite]

Here's my value: length: 8.25 +/- 0.05cm
If I convert 8.25 to m how to I .. convert my uncertainty?

 

[LowlyPion]

Here's my value: length: 8.25 +/- 0.05cm
If I convert 8.25 to m how to I .. convert my uncertainty?

Your uncertainty shouldn't change with the units. .05 cm is .0005 m. After all there is no uncertainty introduced with the conversion.

 

[thomate1]

When converting a measurement from one unit to another, the uncertainty also needs to be converted accordingly. In this case, the uncertainty of 0.05cm would also need to be converted to meters. To do this, we can use the conversion factor of 1m = 100cm. This means that 0.05cm would be equal to 0.0005m. Therefore, the converted value with uncertainty would be 0.0825 +/- 0.0005m. It is important to always include the uncertainty when reporting a measurement, as it reflects the precision and accuracy of the measurement.