# Commutative Property Formula

## Commutative Property Formula

Commutative Property Formula is an important Mathematical Formula. Mathematics, or the science of structural relationship and order, is a rational discipline that evolved from the primitive practices of counting, measuring, and describing the shapes of objects. Furthermore, logical reasoning and quantitative calculation are covered. As a result, “mathematics” now simply refers to the study of mathematics. Mathematics theories help students understand and solve a wide range of problems in both academic and practical contexts. The best brain exercise is probably solving mathematical puzzles.

The Commutative Property Formula is concerned with arithmetic operations such as addition and multiplication. It means that switching the order or position of two numbers while adding or multiplying them has no effect on the outcome. For example, 4 + 5 equals 9, and 5 + 4 equals 9. The order in which two numbers are added has no effect on the sum. The same idea applies to multiplication. The commutative property does not apply to subtraction and division because the end results are completely different when the numbers are ordered differently.

The term “commutative” comes from the word “commute,” which means “to move around.” As a result, the commutative property is concerned with moving the numbers around. So, if changing the order of the operands has no effect on the result of the arithmetic operation, that arithmetic operation is commutative. Other properties of numbers include the associative property, the distributive property, and the identity property. They are not the same as the commutative property of numbers.

## What Is the Commutative Property Formula?

The Commutative Property Formula is given below:

### Commutative Property Formula

If two numbers A and B are given, the formula for the commutative property of numbers is as follows:

A + B = B + A

A × B = B × A

A – B ≠ B – A

A ÷ B ≠ B ÷ A

According to the Commutative Property Formula, changing the order of two numbers while adding and multiplying them has no effect on the result. However, when subtracting and dividing any two real numbers, the order of the numbers is important and thus cannot be changed.

The commutative property of addition states that changing the order of the addends has no effect on the sum’s value.

The commutative property of multiplication states that the order in which two numbers are multiplied does not affect the final product.

Subtraction and division operations do not have the commutative property.

The following are some key points to remember about the commutative property:

According to the commutative property, “changing the order of the operands has no effect on the result.”

A + B = B + A is the commutative property of addition.

A B = B A is the commutative property for multiplication.

### Verification of Commutative Property Formula

Commutative Property Formula can be verified by applying the formulas. By applying the formulas, students will be able to understand the concept better.

### Examples on Commutative Property Formula

The best way to prepare for mathematics is to practise questions.Students can find solved examples of Commutative Property Formula on the website and mobile application of Extramarks. The various resources offered by Extramarks will help students understand the topic on Commutative Property Formula in the most effective way possible. Students must refer to the NCERT Solutions, Revision Notes, and Previous years’ papers solutions offered by Extramarks. They can download all the resources in PDF format.

Students can trust the resources provided by Extramarks as, all the resources offered by Extramarks are written by expert subject teachers with many years of experience.