Final answer:
The question pertains to high school-level mathematics, covering the topics of limits and the application of rules for significant figures. The examples provided suggest proficiency in manipulating exponents and rounding rules across various mathematical operations.
Step-by-step explanation:
The subject of this question is Mathematics, specifically focused on the concept of limits and significant figures in calculations. It appears to be at the High School level. The question includes various examples of calculations, demonstrating the importance of understanding how to manipulate numbers and exponents, as well as applying the rules for significant figures in different types of operations such as addition, subtraction, multiplication, and division.
For instance, the expression 2 × 1012-7 can be simplified if we recognize that 24 is divisible by 8 and thus can be rewritten as 24 × 1012. Similarly, the correct application of significant figures in a calculation such as 180.156 + 342.4 requires limiting the answer to one decimal place, leading to 522.456 being rounded to 522.5.
When dividing numbers with different numbers of significant figures, such as 23 and 448, the rule is to report the final answer with the same number of significant figures as the number with the least significant figures in the original data, in this case, two significant figures.