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------------------------------------------------ Use the factor-label method to complete the conversion of 84 deciliters to liters by filling in the missing number.

[tex]
\[
\frac{84 \text{ deciliters}}{1} \times \frac{1 \text{ liter}}{10 \text{ deciliters}} = \, ? \, \text{liters}
\]
[/tex]

The solution is [tex]$\square$[/tex]

To convert 84 deciliters to liters using the factor label method, follow these steps:

1. Identify the Conversion Factor:
- We need to convert deciliters (dL) to liters (L).
- We know that 1 liter is equal to 10 deciliters.

2. Set Up the Conversion:
- We'll start with the amount we want to convert: 84 deciliters.
- Write this as a fraction: [tex]$\frac{84 \text{ dL}}{1}$[/tex].
- Multiply by the conversion factor: [tex]$\frac{1 \text{ L}}{10 \text{ dL}}$[/tex].

3. Perform the Multiplication:
- Multiply the numbers across the fractions: [tex]$\frac{84 \text{ dL} \times 1 \text{ L}}{1 \times 10 \text{ dL}}$[/tex].
- This simplifies to [tex]$\frac{84 \times 1 \text{ L}}{10}$[/tex].

4. Calculate the Result:
- Divide 84 by 10 to convert to liters:

[tex]\[ 84 \div 10 = 8.4 \][/tex]

5. Conclusion:
- 84 deciliters is equal to 8.4 liters.

So, the missing number in the solution is 8.4, and the conversion of 84 deciliters to liters results in 8.4 liters.