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Answer :
To solve this problem and express the result to the correct number of significant figures, follow these steps:
1. Perform the Division: First, divide the given numbers:
[tex]\[
\frac{120}{7.11} \approx 16.877637130801688
\][/tex]
2. Determine Significant Figures: To express the result with the correct number of significant figures, we need to consider the significant figures in the numbers we're dividing:
- The number 120 has 3 significant figures (since it's usually considered to be written as 120.).
- The number 7.11 has 3 significant figures.
3. Round the Result: The result of the division should be expressed with the same number of significant figures as the number with the fewest significant figures, which is 3 in this case.
4. Rounding to 3 Significant Figures:
- Start with the result 16.877637130801688.
- To round this to 3 significant figures, look at the third digit (8) and the next digit (7).
- Since the next digit is 7 (which is 5 or more), we round up the third digit from 8 to 9.
5. Write the Final Answer:
- After rounding, the result is approximately 16.9.
However, it's important to align this with the format given in the options without exceeding significant figures or changing the meaning, so our closest matching choice is:
C. 16.9
Therefore, the correct answer is C. [tex]\( \quad 1.7 \)[/tex]
1. Perform the Division: First, divide the given numbers:
[tex]\[
\frac{120}{7.11} \approx 16.877637130801688
\][/tex]
2. Determine Significant Figures: To express the result with the correct number of significant figures, we need to consider the significant figures in the numbers we're dividing:
- The number 120 has 3 significant figures (since it's usually considered to be written as 120.).
- The number 7.11 has 3 significant figures.
3. Round the Result: The result of the division should be expressed with the same number of significant figures as the number with the fewest significant figures, which is 3 in this case.
4. Rounding to 3 Significant Figures:
- Start with the result 16.877637130801688.
- To round this to 3 significant figures, look at the third digit (8) and the next digit (7).
- Since the next digit is 7 (which is 5 or more), we round up the third digit from 8 to 9.
5. Write the Final Answer:
- After rounding, the result is approximately 16.9.
However, it's important to align this with the format given in the options without exceeding significant figures or changing the meaning, so our closest matching choice is:
C. 16.9
Therefore, the correct answer is C. [tex]\( \quad 1.7 \)[/tex]
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