To solve the problem of [tex]\( 2.13 + 1 \)[/tex] and express the answer with the correct number of significant figures, follow these steps:
1. Identify the significant figures:
- The number [tex]\( 2.13 \)[/tex] has 3 significant figures (two decimal places).
- The number [tex]\( 1 \)[/tex] has 1 significant figure (no decimal places).
2. Determine the least precise number:
- Because [tex]\( 1 \)[/tex] has no decimal places, it is the least precise. In calculations involving addition and subtraction, the answer should be rounded to the same number of decimal places as the least precise number.
3. Perform the addition:
- Calculate [tex]\( 2.13 + 1 \)[/tex]:
[tex]\[
2.13 + 1 = 3.13
\][/tex]
4. Apply the rule for significant figures:
- Round [tex]\( 3.13 \)[/tex] to 0 decimal places (since the least number of decimal places in our numbers was 0).
- When rounding [tex]\( 3.13 \)[/tex] to 0 decimal places, the result is [tex]\( 3.0 \)[/tex].
Therefore, the correct answer expressed to the correct number of significant figures is:
B. [tex]\( 3.0 \)[/tex]
