College

Convert 113.4 gallons to deciliters. (3.7854 liters = 1 gallon)

A. [tex]3.00 \times 10^2 \, \text{dL}[/tex]

B. [tex]4.293 \times 10^2 \, \text{dL}[/tex]

C. [tex]1.134 \times 10^3 \, \text{dL}[/tex]

D. [tex]4.293 \times 10^3 \, \text{dL}[/tex]

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]