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Select the correct answer.

What is the solution to the problem expressed to the correct number of significant figures?
[tex]\[ 2.13 + 1 = \text{?} \][/tex]

A. 3

B. [tex]\( \quad 3.0 \)[/tex]

C. 3.1

D. [tex]\( \quad 3.13 \)[/tex]


Sagot :

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