Final answer:
The mass measurement with the highest precision, without exceeding the device's certainty, is 324.25 g, with an uncertainty of ± 0.01 g, considering significance and device limits.
Step-by-step explanation:
The student is asking about determining the mass of an object with both accuracy and precision. In reference to the provided examples, the mass measurements given are 324 g, 324.25 g, 324.30 g, and 324.2 g. The measurement that offers the greatest precision is the one with the most decimal places without exceeding the known certainty of the device used for measurement, which would be 324.25 g if the balance used was precise to at least two decimal places. The uncertainty associated with this measurement would be ± 0.01 g based on the least significant figure. When making accurate measurements, it is important to consider the significance of the figures and the limits of the measuring device.