Final answer:
The calculations must be performed in accordance with the rules of significant figures, ensuring that the final answer reflects the precision of the least precise number used in the calculation.
Step-by-step explanation:
The question involves performing calculations and reporting the answers with the correct number of significant figures. When multiplying numbers (example e), we determine the number of significant figures in the final result by the number with the least significant figures of the numbers being multiplied. In example e, 43.678 (5 significant figures) multiplied by 64.1 (3 significant figures) should be reported with 3 significant figures. For division (example f), the number of significant figures in the quotient should match the number with the least significant figures in the divisor or dividend. For the calculation 1.678 (4 significant figures) divided by 0.42 (2 significant figures), the final result should also be reported with 2 significant figures.