High School

Select the answer with the correct number of significant figures for the calculation:

[tex] 31.580 + 4.26 = [/tex]

A. 35.8
B. 35.84
C. 35.84 t

Answer :

To solve the problem of finding the correct number of significant figures for the calculation [tex]\(31.580 + 4.26\)[/tex], we can follow these steps:

1. Perform the Addition:
- First, we calculate the sum of [tex]\(31.580\)[/tex] and [tex]\(4.26\)[/tex].
- The result of the addition is [tex]\(35.84\)[/tex].

2. Determine the Significant Figures:
- In addition or subtraction, the result should be reported with the same number of decimal places as the measurement with the least number of decimal places.
- Here, [tex]\(31.580\)[/tex] has three decimal places, while [tex]\(4.26\)[/tex] has two decimal places.

3. Rounding the Result:
- Since [tex]\(4.26\)[/tex] has the least number of decimal places (two decimal places), we round [tex]\(35.84\)[/tex] to two decimal places.
- The rounded result, maintaining two decimal places, is [tex]\(35.84\)[/tex].

Therefore, the answer with the correct number of significant figures for the given calculation is [tex]\(35.84\)[/tex].