Given:
measured length = 16.0 cm
Percentage error is calculated using the formula:
[tex]\text{ \% error = }\frac{error}{measured\text{ length}}\times100[/tex]The greatest possible error of a measurement is considered to be one-half of the measuring unit. The measured value is 16.0cm (measuring to the nearest tenth), the greatest possible error is one-half of one-tenth or 0.05.
Hence, we have:
error = 0.05
Substituting we have:
[tex]\begin{gathered} \text{ \% error = }\frac{0.05}{16}\text{ }\times\text{ 100} \\ =\text{ 0.3125} \end{gathered}[/tex]Answer: 0.3125%
