Report quantities with accuracy appropriate to measurement limitations.
Find least and greatest possible true values from rounding
Problem
A measurement is reported as \(8~\text{cm}\), rounded to the nearest centimeter. Find the least possible true value and the upper cutoff for true values that still round to \(8~\text{cm}\) under normal rounding.
Move half of the rounding unit to either side of the reported measurement to locate the two cutoffs. Then use the stated rounding convention to classify the endpoints: the lower cutoff belongs to the interval, while the upper cutoff does not, so real values can approach it without ever reaching a greatest included value.
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