Axiom

Related Words

Definition of Axiom

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.
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