## Celsius / Centigrade and Fahrenheit

Celsius and Fahrenheit are two different temperature scales, which people use to describe how hot or cold things are. Centigrade is another name which is used to describe the Celsius temperature scale.  A typical use of these temperature scales is to describe what the maximum temperature is going to be each day.  In Australia a weather forecaster might say something like, “The maximum temperature today is going to reach 32 degrees Celsius.”  However, in America, the Fahrenheit temperature scale is used.  In America, a weather reporter might say something like, “The maximum temperature today is going to reach 84 degrees Fahrenheit.”

If you do any travelling, or watch the news, quite often you’ll want to convert between a temperature in Fahrenheit and a temperature given in Celsius.  For instance, you might see a news report on how there’s a heatwave sweeping California and that temperatures have reached 105 degrees Fahrenheit.  You might be sitting at home wondering whether that’s any hotter than you get in Australia.  Here is one formula telling us the relationship between Celsius and Fahrenheit:

Sponsored Links

This isn’t much use for you sitting at home, because you want to convert from Fahrenheit into Celsius.  This formula only makes it easy for you to convert from Celsius into Fahrenheit.  What you’d need to do is rearrange the equation so that it was in the form “C = something…”:

So now we have a formula telling us the equivalent temperature in Celsius, if we’re given a temperature in Fahrenheit.  We can now work out what 105 degrees Fahrenheit is:

So that is a pretty hot temperature, even by Australian standards.

Mathematical formulas exist for all sorts of different things.  There are formulas for the areas of plane shapes and volumes of solid shapes.  There are formulas telling you how much interest is earned on a certain amount of money.  In order to do well at mathematics, you need to be able to quickly rearrange the formulas so that they are in a useful form for you.  The last example showed how to rearrange the temperature formula so that we could work out something of interest to us.  In general, you need to be able to do this quickly with any formula.