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Answer :
To solve the problem [tex]\(\frac{12.0}{7.11}\)[/tex], we need to consider significant figures:
1. Identify Significant Figures:
- The numerator, 12.0, has three significant figures. The trailing zero after the decimal point indicates precision.
- The denominator, 7.11, also has three significant figures.
2. Perform the Division:
- Divide 12.0 by 7.11 to get the quotient, which is approximately 1.6877637130801686.
3. Determine the Correct Number of Significant Figures:
- When dividing, the number of significant figures in the result should be as many as the number with the least significant figures involved in the operation. Here, both numbers have three significant figures.
4. Round the Result:
- The calculated value of 1.6877637130801686 needs to be rounded to three significant figures. Rounding this value gives us 1.69.
Therefore, the solution, expressed with the correct number of significant figures, is:
B. 1.69
1. Identify Significant Figures:
- The numerator, 12.0, has three significant figures. The trailing zero after the decimal point indicates precision.
- The denominator, 7.11, also has three significant figures.
2. Perform the Division:
- Divide 12.0 by 7.11 to get the quotient, which is approximately 1.6877637130801686.
3. Determine the Correct Number of Significant Figures:
- When dividing, the number of significant figures in the result should be as many as the number with the least significant figures involved in the operation. Here, both numbers have three significant figures.
4. Round the Result:
- The calculated value of 1.6877637130801686 needs to be rounded to three significant figures. Rounding this value gives us 1.69.
Therefore, the solution, expressed with the correct number of significant figures, is:
B. 1.69
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