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].
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].
