Convert 84 degrees Fahrenheit to Celsius and round the answer to the nearest tenth:
A. 28.9°C
B. 29.3°C
C. 29.4°C
D. 29.6°C
The Correct Answer and Explanation is :
To convert Fahrenheit to Celsius, you can use the formula:
[
C = \frac{(F – 32) \times 5}{9}
]
where (C) is the temperature in Celsius and (F) is the temperature in Fahrenheit.
Step-by-Step Conversion
- Subtract 32 from the Fahrenheit temperature:
[
84 – 32 = 52
] - Multiply the result by 5:
[
52 \times 5 = 260
] - Divide by 9 to find the Celsius temperature:
[
\frac{260}{9} \approx 28.8889
] - Round to the nearest tenth:
Rounding 28.8889 to the nearest tenth gives you 28.9.
Conclusion
Thus, 84 degrees Fahrenheit is approximately 28.9°C.
Explanation of the Conversion Process
The conversion from Fahrenheit to Celsius is necessary for various applications, especially in fields like science, healthcare, and international communication, where temperature scales may vary. The Fahrenheit scale, primarily used in the United States, is based on a system where water freezes at 32°F and boils at 212°F. In contrast, the Celsius scale is used globally and is based on the freezing and boiling points of water at 0°C and 100°C, respectively.
The formula incorporates a linear transformation to account for the different starting points of the two scales (32°F for freezing versus 0°C). The multiplication by (\frac{5}{9}) adjusts for the different sizes of the degree intervals in the two systems. As a result, the formula effectively translates the temperature measured in Fahrenheit into a corresponding value in Celsius.
Understanding this conversion is crucial for ensuring accurate temperature readings and effective communication of weather conditions, scientific data, and health-related information across different regions that may utilize varying temperature units.