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Answer :
To determine the correct answer with the appropriate number of significant figures for the calculation [tex]\(31.580 + 4.26\)[/tex], follow these steps:
1. Understand Significant Figures in Addition:
- In addition and subtraction, the result should be reported to the least number of decimal places of any number in the operation.
2. Identify Decimal Places:
- The number 31.580 has three decimal places.
- The number 4.26 has two decimal places.
3. Calculate the Sum:
- Add the numbers together: [tex]\(31.580 + 4.26 = 35.84\)[/tex].
4. Determine the Appropriate Decimal Places:
- Since 4.26 has the least number of decimal places (two), the result should be rounded to two decimal places.
5. Select the Correct Answer:
- The sum, correctly rounded to two decimal places, is 35.84.
Thus, the answer with the correct number of significant figures is 35.84.
1. Understand Significant Figures in Addition:
- In addition and subtraction, the result should be reported to the least number of decimal places of any number in the operation.
2. Identify Decimal Places:
- The number 31.580 has three decimal places.
- The number 4.26 has two decimal places.
3. Calculate the Sum:
- Add the numbers together: [tex]\(31.580 + 4.26 = 35.84\)[/tex].
4. Determine the Appropriate Decimal Places:
- Since 4.26 has the least number of decimal places (two), the result should be rounded to two decimal places.
5. Select the Correct Answer:
- The sum, correctly rounded to two decimal places, is 35.84.
Thus, the answer with the correct number of significant figures is 35.84.
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