# What is the multiplication identity property?

##### 1 Answer

For a set of elements,

If for all

(for all

Then **multiplicative identity**

and

**multiplicative identity property** .

For Integers, Rational Numbers, Real Numbers and Complex Numbers the multiplicative identity is

That is

**(any number) #xx 1 = # (the same number).**

For matrices the multiplicative identity is the Identity Matrix

For a more complex set and an operation that we might not normally think of as "multiplication",

the multiplicative identity **multiplicative identity property** for that set and operation.