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In mathematics, the number one is the multiplicative identity. [1] It is also the only number for which these special facts are true: Any number multiplied by one equals that number: =.
Multiplying a number by −1 is equivalent to changing the sign of the number – that is, for any x we have (−1) ⋅ x = −x.This can be proved using the distributive law and the axiom that 1 is the multiplicative identity:
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