Commutative Property vs Associative Property
The differences between commutative property and associative property is explained in the table below,
Commutative Property |
Associative Property |
---|---|
Commutative property states that the order of the number in some operations(such as multiplication and addition) dose not effects the results of the operation. |
Associative property states that grouping various number in different operations (such as multiplication and addition) does not changes the result of the operation. |
Commutative Formula:
|
Associative Formula:
|
Example: 4 + 5 = 5 + 4 = 9 |
Example: (3 + 4) + 5 = 3 + (4 + 5) = 12 |
Commutative Property – Definition | Commutative Law and Examples
Commutative Property states that the result of an operation between two numbers remains the same irrespective of the position of the numbers. It is an important property of mathematics. Commutative property is satisfied by the addition(+) and multiplication(×) operations.
Commutative Property:
- X + Y = Y + X (Commutative Property of Addition)
- X × Y = Y × X (Commutative Property of Multiplication)
In this article, we will explore the commutative property, commutative property definition, commutative property formula, commutative property examples, and others in detail.
Table of Content
- What is Commutative Property?
- Commutative Property of Addition
- Commutative Property of Multiplication
- Commutative Property for Subtraction and Division
- Examples on Commutative Property