###### Asked in Math and ArithmeticAlgebraAbstract Algebra

Math and Arithmetic

Algebra

Abstract Algebra

# What is a multiplicative identity property?

## Answer

###### Wiki User

###### July 11, 2015 12:26PM

The property of multiplicative identity, i, of a set S is an element, is that for every element x in S,x * i = x = i * x

## Related Questions

###### Asked in School Subjects, Math and Arithmetic, Algebra

### What is the inverse property in math?

There are two related identity properties: the additive identity
and the multiplicative identity.
The additive identity property states that for x belonging to a
set, there is an additive inverse in the set, which is denoted by
-x such that x + (-x) = (-x) + x = 0, where 0 is the additive
identity which also belongs to the set.
The multiplicative identity property states that for y belonging
to a set, there is a multiplicative inverse in the set, which is
denoted by 1/y or y-1 such that y * (1/y) = (1/y) + y = 1, where 1
is the multiplicative identity which also belongs to the set.