Convert 68°F to degrees Celsius.
Use the formula C = 5(F−32)9
, where C = temperature in °Celsius, F = temperature in °Fahrenheit.
The Correct Answer and Explanation is :
To convert 68°F to degrees Celsius using the formula ( C = \frac{5(F – 32)}{9} ), we start by substituting ( F ) with 68:
[
C = \frac{5(68 – 32)}{9}
]
First, calculate ( 68 – 32 ):
[
68 – 32 = 36
]
Next, multiply 36 by 5:
[
5 \times 36 = 180
]
Now, divide 180 by 9:
[
\frac{180}{9} = 20
]
Thus, the temperature in degrees Celsius is:
[
C = 20°C
]
Explanation
The formula ( C = \frac{5(F – 32)}{9} ) is a standard equation used to convert temperatures from Fahrenheit (°F) to Celsius (°C). This conversion is important because different countries use different temperature scales. The Fahrenheit scale is primarily used in the United States, while Celsius is used in most other parts of the world. Understanding both scales can be helpful for travelers, scientists, and professionals in various fields.
The conversion formula consists of two main steps: First, we subtract 32 from the Fahrenheit temperature. This adjustment is necessary because the freezing point of water is 32°F, while it is 0°C. This means that the two scales have different starting points. By subtracting 32, we normalize the value to a common reference point.
Next, we multiply the result by 5/9. This ratio reflects the fact that a change of 1°C is equivalent to a change of 1.8°F (since 1°F equals 5/9 of a degree Celsius). This conversion factor accounts for the different intervals between the two scales.
In summary, using the provided formula allows for accurate temperature conversion between Fahrenheit and Celsius, facilitating better communication and understanding of temperature-related information in diverse contexts. Thus, 68°F is equal to 20°C.