Answer :
To solve the problem [tex]$\frac{12.0}{7.11}$[/tex] and express the answer to the correct number of significant figures, follow these steps:
1. Understand Significant Figures:
- Significant figures are the digits in a number that carry meaningful information about its precision. When performing division, the result should be reported with the same number of significant figures as the number with the fewest significant figures in the calculation.
2. Identify Significant Figures in Each Number:
- 12.0 has three significant figures because the zero after the decimal indicates precision.
- 7.11 also has three significant figures.
3. Calculate the Quotient:
- Performing the division [tex]$\frac{12.0}{7.11}$[/tex] gives approximately 1.6877637130801686.
4. Determine the Number of Significant Figures for the Result:
- Since both numbers (12.0 and 7.11) have three significant figures, the result should also have three significant figures.
5. Round the Result:
- The number 1.6877637130801686, when rounded to three significant figures, becomes 1.69.
Therefore, the correct answer expressed to the appropriate number of significant figures is B. 1.69.
1. Understand Significant Figures:
- Significant figures are the digits in a number that carry meaningful information about its precision. When performing division, the result should be reported with the same number of significant figures as the number with the fewest significant figures in the calculation.
2. Identify Significant Figures in Each Number:
- 12.0 has three significant figures because the zero after the decimal indicates precision.
- 7.11 also has three significant figures.
3. Calculate the Quotient:
- Performing the division [tex]$\frac{12.0}{7.11}$[/tex] gives approximately 1.6877637130801686.
4. Determine the Number of Significant Figures for the Result:
- Since both numbers (12.0 and 7.11) have three significant figures, the result should also have three significant figures.
5. Round the Result:
- The number 1.6877637130801686, when rounded to three significant figures, becomes 1.69.
Therefore, the correct answer expressed to the appropriate number of significant figures is B. 1.69.
