(or: Much ado about Nothing)

**Zero doesn’t actually exist**. Think about it: by definition it isn’t anything, it’s nothing!! Even so, here are 5 facts every mathematician should know about Zero:

**Zero is the essential place-holder**that makes place-value work (without Zero 15, 105 and 150 would all look the same).**It is the only number you cannot divide by**. Try it: your calculator will get cross and bothered.**It has its own index law:**$x^0=1$ (always true – it doesn’t matter what $x$ is)*- It is the only number on the number line that is
**neither positive nor negative**. **You cannot write zero in Roman Numerals**. I have a feeling this could be why there are no famous ancient Roman mathematicians.

*The only exception to rule 2 is of course – you’ve guessed it – when $x$ is zero ($0^0$ is undefined).