# What Is The Multiplicative Identity?

Definition of multiplicative identity.

: an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied.

## What is the multiplicative identity of a number?

The Multiplicative Identity Property

For a property with such a long name, it’s really a simple math law. The multiplicative identity property states that any time you multiply a number by 1, the result, or product, is that original number.

## What is multiplicative identity example?

Multiplicative Identity. The “Multiplicative Identity” is 1, because multiplying a number by 1 leaves it unchanged: a × 1 = 1 × a = a. See: Identity.

## What is the multiplicative identity of 5?

Multiplicative Identity Property: The product of any number and one is that number. For example 5 * 1 = 5.

## Which is the multiplicative identity 0 or 1?

-1 ~+~ 0 = -1 (-1 here is the number on which the operation is carried out and “0” is additive identity. -1 \times 1 = -1 (-1 here is the number on which the operation is carried out and “1” is multiplicative identity.