To solve the problem of finding [tex]\(12.77 + 0.8\)[/tex] and then rounding the result to the correct number of significant figures, follow these steps:
1. Perform the Addition:
[tex]\[
12.77 + 0.8 = 13.57
\][/tex]
2. Determine the Correct Number of Significant Figures:
Significant figures represent the digits that contribute to the precision of a number. The number [tex]\(0.8\)[/tex] has only one significant figure (the digit 8). When adding or subtracting, the result should be rounded to the least number of decimal places in any of the numbers being combined. Here, [tex]\(0.8\)[/tex] has one decimal place, so we round the result to one decimal place.
3. Round the Result:
The sum [tex]\(13.57\)[/tex] rounded to one decimal place gives [tex]\(13.6\)[/tex].
Thus, the answer rounded to the correct number of significant figures is:
B. 13.6
