Join the IDNLearn.com community and start finding the answers you need today. Whether your question is simple or complex, our community is here to provide detailed and trustworthy answers quickly and effectively.

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

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

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


Sagot :

Let's solve the problem step-by-step to find the difference between the given values to the correct level of precision.

1. Identify the given values:
[tex]\[ 22.108 \, \text{L} \quad \text{and} \quad 5.80 \, \text{L} \][/tex]

2. Subtract the values:
[tex]\[ 22.108 \, \text{L} - 5.80 \, \text{L} = 16.308 \, \text{L} \][/tex]
This gives us a preliminary result of 16.308 liters.

3. Consider the correct level of precision:
The correct level of precision requested is two decimal places. Therefore, we should round the preliminary result to two decimal places.

4. Round the result:
[tex]\[ 16.308 \, \text{L} \rightarrow 16.31 \, \text{L} \][/tex]
Rounding 16.308 to two decimal places gives us 16.31.

5. Verify the options and select the correct one:
```
16.308 L
16.31 L
16.3 L
16 L
```
From the above choices, the correct difference to two decimal places is [tex]\( 16.31 \, \text{L} \)[/tex].

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