What is the difference of the given values to the correct level of precision?

[tex]\[
\begin{array}{r}
22.108 \, L \\
-\quad 5.80 \, L \\
\hline
\end{array}
\][/tex]

A. 16.308 L
B. 16.31 L
C. 16.3 L
D. 16 L



Answer :

Alright, let's solve this step-by-step.

1. Write down the given values:
[tex]\[ \begin{array}{r} 22.108 \, \text{L} \\ - \quad 5.80 \, \text{L} \\ \hline \end{array} \][/tex]

2. Find the difference between the two values:
[tex]\[ 22.108 \, \text{L} - 5.80 \, \text{L} = 16.308 \, \text{L} \][/tex]

So, the raw difference between the two values is 16.308 L.

3. Adjust the result to the correct level of precision:
Here, we need to round the result to two decimal places. The number 16.308 rounded to two decimal places is 16.31.

4. Match with provided options:
From the given options:
- 16.308 L
- 16.31 L
- 16.3 L
- 16 L

The correctly rounded value from our calculation is 16.31 L.

Therefore, the difference of the given values to the correct level of precision is:
[tex]\[ \boxed{16.31 \, \text{L}} \][/tex]