Answer :
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.
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.
