socorraob

2022-01-06

What is meant by the term commutative in algebra? Explain along with an example.

Cassandra Ramirez

Definition:
The Commutative property in algebra states that order does not matter.
In other words, if ‘*’ is an operation and a*b = b*a for all a and b, then * is a commutative.
Example: (Commutative)
Addition: $a+b=b+a$.
Multiplication: $ab=ba$.
Example: (non-Commutative)
Subtraction : $a-b\ne b-a$.
Division : $\left(\frac{a}{b}\right)\ne \left(\frac{b}{a}\right)$.

Louis Page