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Answer :
To solve this problem, we need to focus on significant figures and ensure that the final answer is presented with the correct level of precision.
1. Addition of Numbers: We begin with the addition:
- Original numbers:
[tex]\[ 31.580 \][/tex]
[tex]\[ +\,4.26 \][/tex]
- Calculating the sum:
[tex]\[ 31.580 + 4.26 = 35.84 \][/tex]
2. Significant Figures Rule for Addition: When adding numbers, the result should be rounded to the number of decimal places present in the number with the least decimal places.
- In this problem:
- [tex]\( 31.580 \)[/tex] has three decimal places.
- [tex]\( 4.26 \)[/tex] has two decimal places.
- Therefore, the sum should be rounded to two decimal places because [tex]\( 4.26 \)[/tex] has the fewest decimal places.
3. Final Result: The correctly rounded sum is:
- [tex]\[ 35.84 \][/tex]
This leads us to the correct answer with the proper number of significant figures:
[tex]\[ \boxed{35.84} \][/tex]
1. Addition of Numbers: We begin with the addition:
- Original numbers:
[tex]\[ 31.580 \][/tex]
[tex]\[ +\,4.26 \][/tex]
- Calculating the sum:
[tex]\[ 31.580 + 4.26 = 35.84 \][/tex]
2. Significant Figures Rule for Addition: When adding numbers, the result should be rounded to the number of decimal places present in the number with the least decimal places.
- In this problem:
- [tex]\( 31.580 \)[/tex] has three decimal places.
- [tex]\( 4.26 \)[/tex] has two decimal places.
- Therefore, the sum should be rounded to two decimal places because [tex]\( 4.26 \)[/tex] has the fewest decimal places.
3. Final Result: The correctly rounded sum is:
- [tex]\[ 35.84 \][/tex]
This leads us to the correct answer with the proper number of significant figures:
[tex]\[ \boxed{35.84} \][/tex]
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