why temprature is same whether it is expressed in the celsius or the fahrenheit scale?
Answers
Answer:Setting Fahrenheit and Celsius Equal
Rather than converting one temperature to another (not helpful because it assumes you already know the answer), you set degrees Celsius and degrees Fahrenheit equal to each other using the conversion formula between the two temperature scales:
°F = (°C * 9/5) + 32
°C = (°F - 32) * 5/9
It does not matter which equation you use. Simple use "x" instead of degrees Celsius and Fahrenheit. You can solve this problem by solving for x:
°C = 5/9 * (°F - 32)
x = 5/9 * (x - 32)
x = (5/9)x - 17.778
1x - (5/9)x = -17.778
0.444x = -17.778
x = -40 degrees Celsius or Fahrenheit
Working using the other equation you get the same answer:
°F = (°C * 9/5) + 32
°x - (°x * 9/5) = 32
-4/5 * °x = 32
°x = -32 * 5/4
x = -40°
More About Temperature
You can set two scales equal to each other to find when any of them intersect. Sometimes it's easier to just look up equivalent temperature. This handy temperature conversion scale may help you out.
You can also practice converting between temperature scales.