Video Transcript
What is negative 10 degrees Fahrenheit in degrees Celsius? Give your answer to one decimal place.
So in this question we’re being asked to convert from degrees Fahrenheit to degrees Celsius. For that we need the conversion formula. And that formula looks something like this: 𝑇 sub C, which is the temperature in degrees Celsius, is equal to five-ninths multiplied by 𝑇 sub F, which is the temperature in degrees Fahrenheit, minus 32.
So what we need to do is to substitute in our value of the temperature in degrees Fahrenheit in order to find out the temperature in degrees Celsius. And that’s exactly what we’ve done. We’ve replaced 𝑇 sub F with negative 10.
The bracket simplifies a bit to negative 42, at which point we can put this whole thing into our calculators. And doing this gives us a value of 𝑇 sub C as being negative 23.33333 and so on, recurring. But that’s not our final answer.
Firstly, we need to put in our unit of degrees Celsius. Secondly, we’ve been asked to give our answer to one decimal place. So here is the first decimal place. It’s the decimal place afterwards that will tell us whether the first decimal place gets rounded up or whether it stays the same.
So the second decimal place value is three, which is less than five. Therefore we know that the first decimal place will stay the same. And so putting this all together including units, our final answer is that negative 10 degrees Fahrenheit is the same as negative 23.3 degrees Celsius to one decimal place.
