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Answer :
To convert 113.4 gallons to deciliters, you can follow these steps:
1. Understand the Conversion Rates:
- 1 gallon is equal to 3.7854 liters.
- 1 liter is equal to 10 deciliters.
2. Convert Gallons to Liters:
- Multiply the number of gallons by the number of liters per gallon.
[tex]\[
113.4 \, \text{gallons} \times 3.7854 \, \frac{\text{liters}}{\text{gallon}} = 429.26436 \, \text{liters}
\][/tex]
3. Convert Liters to Deciliters:
- Multiply the number of liters by the number of deciliters per liter.
[tex]\[
429.26436 \, \text{liters} \times 10 \, \frac{\text{deciliters}}{\text{liter}} = 4292.6436 \, \text{deciliters}
\][/tex]
So, 113.4 gallons is approximately 4292.6436 deciliters.
Based on the provided options, the closest match is:
D. [tex]\(4.293 \times 10^3 \, \text{dL}\)[/tex]
1. Understand the Conversion Rates:
- 1 gallon is equal to 3.7854 liters.
- 1 liter is equal to 10 deciliters.
2. Convert Gallons to Liters:
- Multiply the number of gallons by the number of liters per gallon.
[tex]\[
113.4 \, \text{gallons} \times 3.7854 \, \frac{\text{liters}}{\text{gallon}} = 429.26436 \, \text{liters}
\][/tex]
3. Convert Liters to Deciliters:
- Multiply the number of liters by the number of deciliters per liter.
[tex]\[
429.26436 \, \text{liters} \times 10 \, \frac{\text{deciliters}}{\text{liter}} = 4292.6436 \, \text{deciliters}
\][/tex]
So, 113.4 gallons is approximately 4292.6436 deciliters.
Based on the provided options, the closest match is:
D. [tex]\(4.293 \times 10^3 \, \text{dL}\)[/tex]
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