What is the percent uncertainty in the measurement\({\bf{5}}{\bf{.48 \pm 0}}{\bf{.25 m}}\)?

Percent uncertainty can be mathematically expressed as the ratio of the absolute value of uncertainty to the given measured value multiplied by 100.

Consider the measurement\(7.42 \pm 0.16{\rm{ m}}\). The percent uncertainty in this measurement can be expressed as:

\(\begin{aligned}{c}{\rm{Percent uncertainty}} = \frac{{0.16{\rm{ m}}}}{{7.42{\rm{ m}}}} \times 100\% \\ = 2.16\% \end{aligned}\)

Thus, the uncertainty in the given measurement is\(2.16\% \).

The percent uncertainty in the given measurement is as follows:

\(\begin{aligned}{c}{\rm{Percent uncertainty}} = \frac{{0.25{\rm{ m}}}}{{{\rm{5}}{\rm{.48 m}}}} \times 100\% \\ = 4.562\% \\ \approx 4.6\% \end{aligned}\)

Thus, the uncertainty in the given measurement is \(4.6\% \).