How many gallons are in 50 liters? round answer to the nearest tenth.
The Correct Answer and Explanation is:
To convert liters to gallons, we can use the conversion factor that 1 liter is approximately equal to 0.264172 gallons. Therefore, to convert 50 liters to gallons, we can use the following formula:
[
\text{Gallons} = \text{Liters} \times 0.264172
]
Substituting in the given value:
[
\text{Gallons} = 50 \, \text{liters} \times 0.264172 \, \text{gallons/liter}
]
Calculating this gives:
[
\text{Gallons} = 50 \times 0.264172 = 13.2086
]
Now, rounding this to the nearest tenth gives us approximately:
[
\text{Gallons} \approx 13.2
]
Explanation
The conversion between liters and gallons is necessary in various contexts, especially in scientific, culinary, and industrial applications. Understanding how to convert these units accurately can help with tasks such as recipe adjustments, understanding fuel consumption, or managing liquids in chemical processes.
When converting liters to gallons, it’s important to note that there are two types of gallons commonly used: the U.S. gallon and the imperial gallon. The U.S. gallon is used in the United States and is defined as 3.78541 liters, while the imperial gallon, used in the United Kingdom and some other countries, is defined as 4.54609 liters. In this calculation, we used the U.S. gallon, which is more commonly utilized in everyday contexts, particularly in the U.S.
To ensure accuracy, conversion factors should be memorized or readily available, as they can vary between different measurement systems. Rounding is also crucial for practical applications. In scientific and technical contexts, precise measurements may be more critical, whereas in cooking or informal scenarios, rounded figures like 13.2 gallons can be sufficient.
In summary, 50 liters converts to approximately 13.2 gallons (U.S. measurement) when rounded to the nearest tenth, illustrating the importance of understanding unit conversions in everyday life.