Answer :
To solve the problem of finding the solution to [tex]\(\frac{12.0}{7.11}\)[/tex] with the correct number of significant figures, let's go through the steps:
1. Perform the Division:
[tex]\[
\frac{12.0}{7.11} \approx 1.6877637130801686
\][/tex]
2. Determine Significant Figures:
- The number 12.0 has three significant figures.
- The number 7.11 also has three significant figures.
Since both numbers have three significant figures, the result should also be reported with the same number of significant figures.
3. Round to Significant Figures:
- We need to round 1.6877637130801686 to three significant figures.
- The third significant figure in 1.6877637130801686 is "8", which is followed by a "7". Since the digit after the "8" is 5 or more, we round up.
After rounding, the number becomes [tex]\(1.69\)[/tex].
Thus, the solution to [tex]\(\frac{12.0}{7.11}\)[/tex] when expressed to the correct number of significant figures is [tex]\(\boxed{1.69}\)[/tex].
1. Perform the Division:
[tex]\[
\frac{12.0}{7.11} \approx 1.6877637130801686
\][/tex]
2. Determine Significant Figures:
- The number 12.0 has three significant figures.
- The number 7.11 also has three significant figures.
Since both numbers have three significant figures, the result should also be reported with the same number of significant figures.
3. Round to Significant Figures:
- We need to round 1.6877637130801686 to three significant figures.
- The third significant figure in 1.6877637130801686 is "8", which is followed by a "7". Since the digit after the "8" is 5 or more, we round up.
After rounding, the number becomes [tex]\(1.69\)[/tex].
Thus, the solution to [tex]\(\frac{12.0}{7.11}\)[/tex] when expressed to the correct number of significant figures is [tex]\(\boxed{1.69}\)[/tex].
