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Answer :
To solve the problem of dividing [tex]\(12.0\)[/tex] by [tex]\(7.11\)[/tex] and then expressing the result to the correct number of significant figures, follow these steps:
1. Perform the Division:
- Calculate [tex]\(\frac{12.0}{7.11}\)[/tex]. This calculation yields approximately [tex]\(1.687763713\)[/tex].
2. Determine Significant Figures:
- Look at the numbers involved in the calculation:
- [tex]\(12.0\)[/tex] has three significant figures.
- [tex]\(7.11\)[/tex] also has three significant figures.
- The result should be rounded to the same number of significant figures as the number with the fewest significant figures, which is three in this case.
3. Round the Result:
- The result of the division is approximately [tex]\(1.687763713\)[/tex].
- Round this number to three significant figures: [tex]\(1.688\)[/tex].
4. Select the Correct Answer:
- Among the given choices, the answer rounded to three significant figures is [tex]\(1.688\)[/tex]. However, when considering the options provided:
- [tex]\(1.688\)[/tex] further rounds to two decimal places, giving [tex]\(1.69\)[/tex].
Thus, the correct answer is:
B. [tex]\(1.69\)[/tex]
1. Perform the Division:
- Calculate [tex]\(\frac{12.0}{7.11}\)[/tex]. This calculation yields approximately [tex]\(1.687763713\)[/tex].
2. Determine Significant Figures:
- Look at the numbers involved in the calculation:
- [tex]\(12.0\)[/tex] has three significant figures.
- [tex]\(7.11\)[/tex] also has three significant figures.
- The result should be rounded to the same number of significant figures as the number with the fewest significant figures, which is three in this case.
3. Round the Result:
- The result of the division is approximately [tex]\(1.687763713\)[/tex].
- Round this number to three significant figures: [tex]\(1.688\)[/tex].
4. Select the Correct Answer:
- Among the given choices, the answer rounded to three significant figures is [tex]\(1.688\)[/tex]. However, when considering the options provided:
- [tex]\(1.688\)[/tex] further rounds to two decimal places, giving [tex]\(1.69\)[/tex].
Thus, the correct answer is:
B. [tex]\(1.69\)[/tex]
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