Which is larger, a Celsius degree or a Fahrenheit degree? Explain.

Short Answer

Expert verified
A degree Celsius is larger than a degree Fahrenheit, as 1 degree Celsius corresponds to 1.8 degrees Fahrenheit. This is evident from the conversion factor of \(\frac{9}{5}\) in the equation \(F = \frac{9}{5}C + 32\).

Step by step solution

01

Understand the relationship between Celsius and Fahrenheit

In order to compare the size of a degree Celsius and a degree Fahrenheit, we must first understand how they are related. The formula to convert temperatures from Celsius to Fahrenheit is given by: \(F = \frac{9}{5}C + 32\) Where 'F' represents the temperature in degrees Fahrenheit and 'C' represents the temperature in degrees Celsius.
02

Compare the size of a degree Celsius and a degree Fahrenheit

To compare the size of a degree in each temperature scale, we can analyze the conversion factor of \(\frac{9}{5}\) (or 1.8) in the equation above. When we convert a temperature from Celsius to Fahrenheit by multiplying by \(\frac{9}{5}\), we see that 1 degree Celsius corresponds to 1.8 degrees Fahrenheit. Thus, 1° C * 1.8 = 1.8° F. Since 1 degree Celsius corresponds to 1.8 degrees Fahrenheit, it means that a degree Celsius is larger than a degree Fahrenheit.

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