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1 is the multiplicative identity.
The number 1 is the multiplicative identity. What this means is that if you multiply a number by 1, that number is unchanged (the result is equal to the original number).
1
When you multiply a number times 1, you can get the same number multiplicative identity. When you add a 0 to a number, you can get the same number additive identity.
In a set S, the multiplicative inverse of a non-zero element x is an element of the set, y, such that x*y = y*x = i, the identity element of S. For the set of numbers, the multiplicative identity is 1 and the multiplicative identity is also denoted by 1/x or x^-1.