0 is the additive identity of the integers, real numbers and many other sets. 0 also acts as a placeholder in place value systems, e.g. 100, 1000.
Zero does not have a multiplicative inverse, and division by zero is undefined in most cases. There are some systems in which division by zero is defined.
Graphical axes are usually centred around 0. For the two dimensional case, the origin is at (0,0).
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