explain why significant figures represent the precision of a measurement and not its accuracy.

Brief Explanations:

Significant figures show the number of reliable digits in a measurement. They are based on the measuring instrument's smallest division, indicating precision (how closely repeated measurements agree). Accuracy is about how close a measurement is to the true - value, which significant figures don't directly convey as they don't account for systematic errors.

Answer:

Significant figures represent the precision of a measurement because they are determined by the measuring device's resolution and show the number of certain and estimated digits. They do not represent accuracy since accuracy is related to how close a measurement is to the true value and significant figures do not account for systematic errors that could affect accuracy.