# What Is The Identity Property Of Multiplication?

There are four properties, or standard rules, that make it easier to perform multiplication problems: commutative, associative, distributive and identity. The identity property is the most straightforward to recognize and use.

## Identity Property of Multiplication Definition

This property is also known as the multiplication property of 1. It states that the result of multiplying any real number by 1 is the number itself. In other words, multiplying any number by 1 doesn't change the number's value. A tip for remembering this property is that multiplying any number by 1 allows the number to keep its identity.

## Theory behind the Multiplication Identity Property

All multiplication operations break down to a series of additions. When you multiply any number by the identity value of 1, it is equivalent to adding the number to 0 once.

## General Identity Property of Multiplication Example

\(1 × a = a × 1 = a\)

## Numeric Identity Property of Multiplication Example

\(1 × 3 = 3 × 1 = 3\)

## Algebraic Identity Property of Multiplication Example

\(1(2x) = (2x) × 1 = 2x\)

## Considerations

Some math textbooks and online references list additional multiplicative properties, including the inverse property and the multiplicative property of zero. However, the identity property is universally agreed upon as a fundamental multiplicative property.

### Cite This Article

#### MLA

Watson, Catie. "What Is The Identity Property Of Multiplication?" *sciencing.com*, https://www.sciencing.com/what-is-the-identity-property-of-multiplication-13712201/. 3 November 2020.

#### APA

Watson, Catie. (2020, November 3). What Is The Identity Property Of Multiplication?. *sciencing.com*. Retrieved from https://www.sciencing.com/what-is-the-identity-property-of-multiplication-13712201/

#### Chicago

Watson, Catie. What Is The Identity Property Of Multiplication? last modified March 24, 2022. https://www.sciencing.com/what-is-the-identity-property-of-multiplication-13712201/