Axiom is a rule or a statement that is accepted as true without proof. An axiom is also called a postulate.

Examples of Axiom

Here is an axiom of addition and multiplication.
Let x and y be real numbers.
Then x + y is also a real number and xy is also a real number.

Video Examples: Postulate, Axiom, Conjecture

Solved Example on Axiom

Ques: Which of the folowing is the basic axiom of algebra represented by the equation 3x + 7 = 7 + 3x, where x is any real number?
35, 45, 61, 59, 73

Choices:

A. Inverse property of addition
B. Associative property of addition
C. Identity property of addition
D. Commutative property of addition
Correct Answer: D

Solution:

Step 1: 3x + 7 = 7 + 3x, where x is any real number.
Step 2: It is of the form a + b = b + a.
Step 3: So, commutative property of addition is the basic axiom of algebra represented by the given equation.