To find the solution to the problem [tex]\( 2.13 + 1 \)[/tex] expressed to the correct number of significant figures, follow these detailed steps:
1. Identify the given numbers and their significant figures:
- The number 2.13 has three significant figures.
- The number 1 has one significant figure but can be considered to have one decimal place.
2. Perform the addition:
- Add the numbers: [tex]\( 2.13 + 1 = 3.13 \)[/tex].
3. Determine the correct number of significant figures for the sum:
- When adding numbers, the result should be rounded to the least precise measurement in terms of decimal places.
- Here, the number 1 is the least precise with 1 decimal place.
4. Round the result to the appropriate number of decimal places:
- The unrounded sum is 3.13.
- Rounding 3.13 to 1 decimal place results in 3.1.
Therefore, the correct answer is:
C. 3.1