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It is the fundamental unit of counting numbers. Repeated addition of the number 1 generates the counting numbers. The set of counting numbers is then extended, through subtraction, to the set of all integers. That set is then extended, through division, to rationals. That, in turn, is extended to the irrationals, reals, and complex numbers. So the number 1 is at the root of all kinds of sets of numbers.
Also, it is the identity element of multiplication.
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