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Identity Property


The basic Number Properties (or laws) that apply to arithmetic operations are Commutative Property, Associative Property, Identity Property and Distributive Property.

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Identity Properties

Identity Property (or Zero Property) of Addition

When you add 0 to any number, the sum is that number.

For example: 325 + 0 = 325.

Identity Property (or One Property) of Multiplication

When you multiply any number by 1, the product is that number.

For example: 65, 148 × 1 = 65, 148

Zero Property of Multiplication

The product of any number and 0 is 0

For example: 874 × 0 = 0

Identity Property of Addition & Multiplication
Identity Property of Addition: Any number plus zero is the original number.
Identity Property of Multiplication: Any number times one is the original number.
Zero is the identity number of addition and one is the identity number of multiplication.

Identity Property
This video defines the Identity Property. The Identity Property is made up of two parts: Additive Identity and Multiplicative Identity.
The Additive Identity is Add zero (0) to a number, the Sum is that number.
The Multiplicative Identity is Multiply a number by 1, the Product is that number. Divide a number by itself, the Quotient is 1.
The following video explains : What is the identity property? How can you recognize it and name it when you see it? Why does it have the name it has? Why do mathematicians give everything, even something as seemingly simple as this a name?

The following video shows the commutative & identity properties of addition & multiplication.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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