Final answer:
The relationship between precision and uncertainty in measurements is inverse; higher precision leads to lower uncertainty, and lower precision results in higher uncertainty.
Step-by-step explanation:
The relationship between the precision and the uncertainty of a measurement is inverse. Precision refers to the repeatability of measurements—how closely individual measurements agree with each other. Uncertainty indicates the range within which the true value lies; it is a measure of the doubt about the measurement.
When precision increases, uncertainty decreases because the measurements are more consistent, giving us a smaller range of possible true values. Conversely, if precision is low, measurements are spread out and less reliable, increasing uncertainty about where the true value lies.