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Answer :
To convert 113.4 gallons to deciliters, we'll follow several steps.
1. Convert gallons to liters.
- We know that 1 gallon is equivalent to 3.7854 liters.
- Therefore, to convert 113.4 gallons to liters, we 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]
2. Convert liters to deciliters.
- We know that 1 liter is equivalent to 10 deciliters.
- Therefore, to convert liters to deciliters, we multiply the number of liters by 10:
[tex]\[
429.26436 \, \text{liters} \times 10 \, \frac{\text{deciliters}}{\text{liter}} = 4292.6436 \, \text{deciliters}
\][/tex]
Thus, 113.4 gallons is equivalent to 4292.6436 deciliters.
Given the options:
A. [tex]\(3.00 \times 10^2 \, dL\)[/tex]
B. [tex]\(4.293 \times 10^2 \, dL\)[/tex]
C. [tex]\(1.134 \times 10^3 \, dL\)[/tex]
D. [tex]\(4.293 \times 10^3 \, dL\)[/tex]
The correct answer is:
D. [tex]\(4.293 \times 10^3 \, dL\)[/tex]
1. Convert gallons to liters.
- We know that 1 gallon is equivalent to 3.7854 liters.
- Therefore, to convert 113.4 gallons to liters, we 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]
2. Convert liters to deciliters.
- We know that 1 liter is equivalent to 10 deciliters.
- Therefore, to convert liters to deciliters, we multiply the number of liters by 10:
[tex]\[
429.26436 \, \text{liters} \times 10 \, \frac{\text{deciliters}}{\text{liter}} = 4292.6436 \, \text{deciliters}
\][/tex]
Thus, 113.4 gallons is equivalent to 4292.6436 deciliters.
Given the options:
A. [tex]\(3.00 \times 10^2 \, dL\)[/tex]
B. [tex]\(4.293 \times 10^2 \, dL\)[/tex]
C. [tex]\(1.134 \times 10^3 \, dL\)[/tex]
D. [tex]\(4.293 \times 10^3 \, dL\)[/tex]
The correct answer is:
D. [tex]\(4.293 \times 10^3 \, dL\)[/tex]
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