Select the correct answer.

What is the solution to the problem rounded to the correct number of significant figures? [tex]$12.77 + 0.8 =?$[/tex]

A. 14
B. 13.6
C. 13.57
D. 10



Answer :

To solve the problem of adding [tex]\(12.77\)[/tex] and [tex]\(0.8\)[/tex] and rounding the result to the correct number of significant figures, let's follow these steps:

1. Determine the initial amounts: We are given two numbers:
[tex]\[ 12.77 \quad \text{and} \quad 0.8 \][/tex]

2. Add the two numbers:
[tex]\[ 12.77 + 0.8 = 13.57 \][/tex]

3. Consider the significant figures:
- [tex]\(12.77\)[/tex] has 4 significant figures.
- [tex]\(0.8\)[/tex] has 2 significant figures.

When adding or subtracting numbers, the result should be rounded to the least significant place of the numbers being added. In this case, [tex]\(0.8\)[/tex] has its least significant figure in the tenths place.

4. Round the result to the tenths place:
[tex]\[ 13.57 \quad \text{rounded to the tenths place is} \quad 13.6 \][/tex]

5. Identify the correct answer:
Among the options provided, the one that corresponds to 13.6 is B.

So, the correct answer is:
[tex]\[ \boxed{13.6 \, \text{(Choice B)}} \][/tex]