To solve the expression $992 \, \text{mL} - 100.35 \, \text{cm}^3 - 0.468 \, \text{L}$, let's first ensure all units are the same. We can convert everything to milliliters (mL) since that's the initial unit given:

1. Conversion from cubic centimeters to milliliters: $100.35 \, \text{cm}^3 = 100.35 \, \text{mL} \quad \text{(since } 1 \, \text{cm}^3 = 1 \, \text{mL} \text{)}$

2. Conversion from liters to milliliters: $0.468 \, \text{L} = 0.468 \times 1000 \, \text{mL} = 468 \, \text{mL}$

Now, we can perform the subtraction:

$992 \, \text{mL} - 100.35 \, \text{mL} - 468 \, \text{mL}$

$= (992 - 100.35 - 468) \, \text{mL}$

$= 423.65 \, \text{mL}$

Finally, we need to express the final answer to the correct number of significant figures. The original numbers had the following significant figures:

• $992 \, \text{mL}$ has 3 significant figures.
• $100.35 \, \text{cm}^3$ has 5 significant figures.
• $0.468 \, \text{L}$ has 3 significant figures.

The result should be expressed to 3 significant figures, the least number in the given values:

$423.65 \, \text{mL} \approx 424 \, \text{mL}$

Final Answer: $424 \, \text{mL}$.

Would you like more details or have any other questions?

Here are 5 related questions:

1. How do you convert between different units of volume?
2. What are significant figures, and why are they important?
3. How do you round numbers to a specific number of significant figures?
4. What is the difference between precision and accuracy in measurements?
5. Can you solve another problem involving unit conversion and significant figures?

Tip: Always ensure consistency in units before performing any mathematical operations to avoid errors in calculations.