The concept of zero has many synonyms
- Nought or naught (US)
The number zero
Zero is usually not considered to belong to the set of natural numbers, as it was not even considered a number by the ancient Greeks and Romans. The number zero is represented by the Hindu-Arabic numeral 0. As a digit, 0 is used as a placeholder in place-value numeral systems.
Properties of 0
- Additive identity (the empty sum is defined as the additive identity).
- Multiplicative absorption element, i.e.
- Nonunit (has no multiplicative inverse) in any number set (thus forbidding division by zero).
- (the empty product, defined as the multiplicative identity).
The zero matrix
The zero constant polynomial