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Answer :
To solve the problem [tex]\(\frac{120}{7.11}\)[/tex], we need to find the correct number of significant figures in the result.
1. Identify Significant Figures:
- The number 120 has 2 significant figures.
- The number 7.11 has 3 significant figures.
2. Rule for Significant Figures in Division:
- When dividing, the result should be expressed with the same number of significant figures as the number with the least significant figures in the calculation.
- Here, that number is 120, which has 2 significant figures.
3. Perform the Division:
- Dividing 120 by 7.11 gives approximately 16.8776 (keeping extra decimal places to ensure accuracy before rounding).
4. Round the Result:
- We round the result to 2 significant figures. The first two significant digits of 16.8776 are "16". Looking at the following digit (8), since it is 5 or greater, we round up.
- So, 16.8776 rounded to 2 significant figures is 17.
5. Select the Correct Answer:
- Option C: 1.7 seems like a typographical error based on rounding instruction. The correct answer option that aligns with the rounded value is not listed exactly as calculated (17), but we stayed focused on the rules applied.
Hence, the answer should ideally be 17, adhering to the significant figures concept and available options adjusting for potential typo errors.
1. Identify Significant Figures:
- The number 120 has 2 significant figures.
- The number 7.11 has 3 significant figures.
2. Rule for Significant Figures in Division:
- When dividing, the result should be expressed with the same number of significant figures as the number with the least significant figures in the calculation.
- Here, that number is 120, which has 2 significant figures.
3. Perform the Division:
- Dividing 120 by 7.11 gives approximately 16.8776 (keeping extra decimal places to ensure accuracy before rounding).
4. Round the Result:
- We round the result to 2 significant figures. The first two significant digits of 16.8776 are "16". Looking at the following digit (8), since it is 5 or greater, we round up.
- So, 16.8776 rounded to 2 significant figures is 17.
5. Select the Correct Answer:
- Option C: 1.7 seems like a typographical error based on rounding instruction. The correct answer option that aligns with the rounded value is not listed exactly as calculated (17), but we stayed focused on the rules applied.
Hence, the answer should ideally be 17, adhering to the significant figures concept and available options adjusting for potential typo errors.
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