Final answer:
The calculations for the student's question are performed, and the results are 2300 for part (a) and 4.68 for part (b), each to the correct number of significant figures in decimal notation.
Step-by-step explanation:
The student's question involves performing arithmetic operations and expressing the results to the correct number of significant figures. Here are the answers to the two parts of the question:
For part (a), subtract the numbers first: 847.89 - 847.73 = 0.16. Then multiply by 14673 to get 2347.68.
However, because the subtraction yields only two significant digits, the final answer should be reported with the same number of significant figures, which is 2300 (to two significant figures in decimal notation).
For part (b), multiply 8.71 by 0.0301 to get 0.262141 then divide this by 0.056 to get approximately 4.6810893. In this calculation, we are limited by the least number of significant figures in the numerator (0.0301 with three significant figures), so the final answer should be reported as 4.68 (to three significant figures in decimal notation).