Commutative vs Associative Law of Addition

Addition also follows associative law. Let’s see the comparison between Commutative and Associative law of addition.

Aspect

Commutative Law

Associative Law

Definition

It states that changing the order of number does not affect the sum

It states that if there are three or more numbers, total sum remains same irrespective of the group in which numbers are arranged.

Expression

a + b = b + a

(a + b) + c = a + (b + c)

Example

6 + 2 = 2 + 6 = 8

(2 + 5) + 6 = 2 + (5 + 6) = 13

Also, Check

Commutative Law of Addition

Commutative law of addition states that if two numbers are added then the result is equal to the addition of their interchanged position. In this article we will explore the commutative law of addition, commutative law for addition representation, and commutative law for addition examples. We will also solve some examples related to the commutative law of addition. Let’s start our learning on the topic “Commutative Law for Addition.”

Similar Reads

What is Commutative Law?

Commutative law is a law in which the order of the two operands does not affect the result of the expression. In other words, the change in the place of the operand does not change the result of the expression. The operations like addition, multiplication, etc. satisfy the commutative law....

What is Commutative Law for Addition?

Commutative law for addition states that if two numbers are related by the addition operator, then by interchanging the numbers, the result does not change. In other words, if we change the position of the operands of addition, it does not affect the result of the addition....

Commutative vs Associative Law of Addition

Addition also follows associative law. Let’s see the comparison between Commutative and Associative law of addition....

Solved Examples on Commutative Law of Addition

Example 1: Prove that x + y = y + x if x = 10 and y = 20....

Practice Problems on Commutative Law of Addition

Q1. Prove that a + b = b + a if a = -90 and b = 150....

FAQs on Commutative Law of Addition

What is Commutative Law for Addition?...

Contact Us