0

0 is the smallest nonnegative integer. It is the integer preceding 1. In most set theories it is write as { } or Ø.

properties
0 is neither positive nor negative

Any number plus 0 equals itself

Any number multiplied by 0 equals 0

Any number (except 0) raised to the 0th power is 1

Division by zero is undefined

Zero divided by any number (except 0) equals 0

0 raised to the power of all positive numbers equals 0

the derivative of a constant is 0