Final answer:
The question relates to the concept of rounding numbers to a certain number of significant figures in mathematics, a process critical for achieving the desired level of precision in numerical results.
Step-by-step explanation:
The subject of the question involves rounding numbers to a specified number of significant figures, a key concept in mathematics related to measurement and precision.
For example, when rounding the calculator answer 2,085.5688 to five significant figures, the result is 2,085.6 because the first digit to be dropped (5) is greater than 5, which prompts the previous digit (in the ones place) to be rounded up. Similarly, round the numbers:
- (a) 31.57 to two significant figures becomes 32.
- (b) 8.1649 to three significant figures becomes 8.16.
- (c) 0.051065 to four significant figures becomes 0.05107.
- (d) 0.90275 to four significant figures becomes 0.9028.
Additionally, in calculations involving inexact numbers like 180, 16, and 2.20, the final answer must be rounded to have the same number of significant figures as the least precise number.