To determine the solution to the problem [tex]\(2.13 + 1\)[/tex] expressed to the correct number of significant figures, we will follow a systematic approach:
1. Identify the significant figures in the given numbers:
- The number [tex]\(2.13\)[/tex] has three significant figures.
- The number [tex]\(1\)[/tex] has one significant figure.
2. Perform the addition:
- Adding [tex]\(2.13\)[/tex] and [tex]\(1\)[/tex] gives a result of [tex]\(3.13\)[/tex].
3. Determine the significant figures for the result based on addition rules:
- When adding or subtracting numbers, the result should be rounded to the least number of decimal places in any of the numbers being added or subtracted.
- [tex]\(2.13\)[/tex] has two decimal places.
- [tex]\(1\)[/tex] has zero decimal places.
4. Round the result:
- Since the number with the least decimal places is [tex]\(1\)[/tex] (with zero decimal places), we must round the result [tex]\(3.13\)[/tex] to zero decimal places.
Thus, rounding [tex]\(3.13\)[/tex] to zero decimal places gives [tex]\(3\)[/tex].
Therefore, the correct solution to the problem [tex]\(2.13 + 1\)[/tex] expressed to the correct number of significant figures is:
A. 3
