Question

What is 19°F in celsius?

Answer 1

`19^oF` is equal to `-7.2^oC`.

Explanation:

In order to determine how many degrees 19 Fahrenheit is in Celsius we need to understand that there is an equation that we must use. To convert a temperature in Fahrenheit to Celsius that equation looks like this:

`(F^o- 32)*5/9= C^o`

`F^o` represents the temperature in Fahrenheit, which we just so happen to be given. While the `C^o` represents the temperature in Celsius which we are asked to find. This means that we can substitute the `F^o` for `19^oF`, the equation would then look like this:

`(19^oF-32)*5/9= C^o`

Now we can solve for `C^o` by using order of operations (PEMDAS).

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Here's a quick refresher on PEMDAS:

First (P): we do anything in parentheses

Second (E): we do anything raised to a power, exponents

Third (M): we do any multiplication

Fourth (D): we do any division

Fifth (A): we do any addition

Sixth (S): we do any subtraction

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Okay now that's out of the way let's solve!

`(19^oF-32)*5/9= C^o`

`=-13^oF*5/9`

Okay this might look intimidating but, its not I promise.

`=-13^oF*5/9`

Is the same as this:

`-13*5/9`

You could cheat by plugging this into a calculator but lets take a look at `5/9`:

`1/9= 0.1111` those 1's actually go on repeating like that forever

Now,

`2/9= 0.2222` with that same repeating trend

In fact this holds true for any number less than 9 that is over 9 (all numbers up to `8/9= 0.8888`. This means that:

`5/9= 0.5555`

For all intents and purposes we can round this to 0.556. Now we can multiply -13 by 0.556, this will give us the number of degrees Celsius:

`-13*(0.556)= -7.228^oC`

We can round to get:

`19^oF= -7.2^oC`

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In order to go from Celsius to Fahrenheit we can use this equation:

`C^o*(9/5)+32= F^o`

Instead of plugging in Fahrenheit we would plug in Celsius. For example: "What is -7.2^oC in Fahrenheit?"

I hope this helps!