how many sig figs are there and what would be the answer rounded to the correct number of sig figs

To determine the number of significant figures (sig figs) in the final result, we first need to identify the number of sig figs in each of the factors involved in the calculation:

- **361.0** has 4 significant figures.
- **34.908** has 5 significant figures.
- **23.0** has 3 significant figures.
- **22.888** has 5 significant figures.
- **95.2** has 3 significant figures.
- **120.00** has 5 significant figures.

In multiplication and division, the final result should be rounded to the same number of significant figures as the factor with the fewest significant figures. Here, the smallest number of significant figures among the factors is 3 (from 23.0 and 95.2).

The calculated result was approximately \(1.1085\). Rounding this to 3 significant figures gives:

\[
\text{Final result} \approx 1.11
\]

So, the answer rounded to the correct number of significant figures is **1.11**.

Would you like any more details or have any other questions?

Here are some related questions:
1. How do you determine significant figures in more complex numbers like those in scientific notation?
2. What are the rules for significant figures in addition and subtraction?
3. How does rounding affect the accuracy of a scientific experiment?
4. What are the differences between significant figures and decimal places?
5. How do you handle significant figures when working with constants (like \(\pi\)) in calculations?

**Tip:** Always perform rounding at the very end of your calculation to avoid introducing rounding errors during intermediate steps.

Understand how to determine the number of significant figures in multiplication and division. This problem involves calculating with numbers having varying significant figures and applying the rules for rounding. Learn the steps with examples and explanations. Suitable for high school students.

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