48\deg Fahrenheit to Celsius (Round answer to the nearest tenth. )
The Correct answer and Explanation is:
To convert Fahrenheit to Celsius, you can use the formula:C=59(F−32)C = \frac{5}{9} (F – 32)C=95(F−32)
where CCC is the temperature in degrees Celsius and FFF is the temperature in degrees Fahrenheit.
Step-by-Step Conversion
- Start with the Fahrenheit temperature: In this case, F=48F = 48F=48.
- Subtract 32 from the Fahrenheit temperature:48−32=1648 – 32 = 1648−32=16
- Multiply the result by 59\frac{5}{9}95:C=59×16C = \frac{5}{9} \times 16C=95×16
- First, calculate 5×165 \times 165×16:5×16=805 \times 16 = 805×16=80
- Now divide 80 by 9:C=809≈8.8889C = \frac{80}{9} \approx 8.8889C=980≈8.8889
- Round to the nearest tenth:
- When rounding 8.88898.88898.8889 to the nearest tenth, we look at the hundredths place, which is 888. Since it’s 888, we round up:
Conclusion
Thus, the conversion of 484848 degrees Fahrenheit to Celsius is approximately 8.9°C.
Explanation of the Conversion Process
The conversion between Fahrenheit and Celsius is important in many fields, particularly in science and medicine, where precise temperature readings are crucial. The formula for converting Fahrenheit to Celsius involves subtracting 323232 from the Fahrenheit value and then multiplying the result by 59\frac{5}{9}95.
The subtraction of 323232 accounts for the difference in the baseline temperatures of the two scales, as 32°F32°F32°F is equivalent to 0°C0°C0°C. The multiplication by 59\frac{5}{9}95 adjusts for the different scaling of the two temperature systems, as a degree change in Celsius corresponds to a 1.81.81.8 degree change in Fahrenheit.
Understanding this conversion is useful for interpreting temperature data accurately across various contexts, from weather reports to laboratory measurements.