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Answer :
To solve the problem of dividing [tex]\(12.0\)[/tex] by [tex]\(7.11\)[/tex] and expressing the answer with the correct number of significant figures, follow these steps:
1. Perform the Division:
[tex]\[
\frac{12.0}{7.11} \approx 1.6877637130801686
\][/tex]
2. Determine the Number of Significant Figures:
- The number [tex]\(12.0\)[/tex] has three significant figures.
- The number [tex]\(7.11\)[/tex] also has three significant figures.
- When performing division, the result should have the same number of significant figures as the number with the fewest significant figures. In this case, both numbers have three significant figures, so the result should be rounded to three significant figures.
3. Round the Result:
- The result from the division is approximately [tex]\(1.6877637130801686\)[/tex].
- To round this to three significant figures, we focus on the first three digits: [tex]\(1.68\)[/tex].
- The digit after the third significant figure (7) is 7, which is 5 or greater, so we round up.
- Therefore, the result rounded to three significant figures is [tex]\(1.69\)[/tex].
So, the correct answer to the problem, expressed with the correct number of significant figures, is:
B. 1.69
1. Perform the Division:
[tex]\[
\frac{12.0}{7.11} \approx 1.6877637130801686
\][/tex]
2. Determine the Number of Significant Figures:
- The number [tex]\(12.0\)[/tex] has three significant figures.
- The number [tex]\(7.11\)[/tex] also has three significant figures.
- When performing division, the result should have the same number of significant figures as the number with the fewest significant figures. In this case, both numbers have three significant figures, so the result should be rounded to three significant figures.
3. Round the Result:
- The result from the division is approximately [tex]\(1.6877637130801686\)[/tex].
- To round this to three significant figures, we focus on the first three digits: [tex]\(1.68\)[/tex].
- The digit after the third significant figure (7) is 7, which is 5 or greater, so we round up.
- Therefore, the result rounded to three significant figures is [tex]\(1.69\)[/tex].
So, the correct answer to the problem, expressed with the correct number of significant figures, is:
B. 1.69
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