# What is the definition of identity property of multiplication?

**Identity Property**

**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.

Thereof, what is the definition of identity property?

An **identity** in addition is a number, n, that when added to other numbers, gives the same number n. The additive **identity** is zero. The **identity property** of addition simply states that when you add zero to any number, it equals the number itself. Remember that addends are simply the numbers that are being added.

Additionally, what is the identity property examples? **Identity Property** (or Zero **Property**) of Addition When you add 0 to any number, the sum is that number. For **example**: 325 + 0 = 325.

Similarly, it is asked, what is the definition of 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 are the identity properties?

The **identity property** for addition tells us that zero added to any number is the number itself. Zero is called the "additive **identity**." The **identity property** for multiplication tells us that the number 1 multiplied times any number gives the number itself. The number 1 is called the "multiplicative **identity**." Addition.