To solve the problem [tex]\(2.13 + 1\)[/tex] and express the answer to the correct number of significant figures, follow these steps:
1. Identify the number of significant figures in each operand:
- In the number [tex]\(2.13\)[/tex], there are three significant figures.
- In the number [tex]\(1\)[/tex], there is one significant figure.
2. Perform the addition:
- Adding the two numbers gives [tex]\(2.13 + 1 = 3.13\)[/tex].
3. Determine the correct number of significant figures for the result:
- When adding or subtracting, the result should be expressed with the least number of significant figures present in any of the operands. In this case, the number [tex]\(1\)[/tex] has only one significant figure, which dictates the precision of our final answer.
4. Round the result to the correct number of significant figures:
- For the number [tex]\(3.13\)[/tex], we need to round it to one significant figure. This rounding results in [tex]\(3\)[/tex].
So, the correct answer is:
A. 3
