Let's solve the given problem step by step:
1. Addition of the Numerator:
First, we need to add the numbers in the numerator:
[tex]\[
4.5 + 19.89
\][/tex]
Adding these numbers, we get:
[tex]\[
4.5 + 19.89 = 24.39
\][/tex]
2. Division by the Denominator:
Next, we need to divide this sum by the denominator:
[tex]\[
\frac{24.39}{8.54}
\][/tex]
Performing this division gives us:
[tex]\[
\frac{24.39}{8.54} \approx 2.855971896955504
\][/tex]
3. Rounding the Result:
We have our result from the division, which is approximately 2.855971896955504. We now need to round this result to various decimal places as specified:
- Round to 2 decimal places:
[tex]\[
2.86
\][/tex]
- Round to 3 decimal places:
[tex]\[
2.856
\][/tex]
- The correctly rounded result (to a higher precision, such as 5 decimal places):
[tex]\[
2.85597
\][/tex]
4. Selecting the Correct Answer:
Among the provided options for the closest approximation:
- 2.86
- 2.8559719
- 2.9
- 2.85
- 2.856
Based on the closest approximation procedures, the correctly rounded values up to the specified decimal places, the correct answers are:
- 2.86
- 2.856
Thus, when rounding the result, the correct answers to choose from the given multiple choices are:
[tex]\[
2.86 \quad \text{and} \quad 2.856
\][/tex]
