﻿ Definition and examples identity properties of addition and Multiplication | define identity properties of addition and Multiplication - Free Math Dictionary Online

# Identity Properties of Addition and Multiplication

## Definition of Identity Properties of Addition and Multiplication

Identity property of addition states that the sum of zero and any number or variable is the number or variable itself.
For Example, 4 + 0 = 4, - 11 + 0 = - 11, y + 0 = y are few examples illustrating the identity property of addition.

Identity property of multiplication states that the product of 1 and any number or variable is the number or variable itself.
For Example, 4 x 1 = 4, - 11 x 1 = - 11, y x 1 = y are few examples illustrating the identity property of multiplication.

### Solved Example on Identity Properties of Addition and_Multiplication

#### Ques: Which of the following equations illustrate identity property of addition?

##### Choices:
• A. xy = yx
• B. x + 0 = x
• C. (x + y) + z = x + (y + z)
• D. x + 1 = 1 + x

### Solution:

• Step 1: According to identity property of addition, the sum of a number and 0 is the number itself.
• Step 2: Among the choices, the equation x + 0 = x illustrates identity property of addition.
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