If the mass of an object is measured to be 53.5 ± 0.1 g and its volume is measured to be 22.30 ± 0.05 cm^3 , what is the density? report the density uncertainty in both forms: as a percentage and as an absolute number with units.

Explanation:

Recall that density is defined as and that relative uncertainty is defined as where is the uncertainty in the measure and a the measure, To find the uncertainty when two physical quantities are divided, their relative uncertainties are added and then multiplied with the division result of the quantities.

We have:

To find the percent uncertainty, we multiply the relative uncertainty by 100%.