Deductive Reasoning

Definition of Deductive Reasoning

  • When we arrive at a conclusion using facts, definitions, rule, or properties, it is called Deductive Reasoning.

More About Deductive Reasoning

  • A conclusion reached based on deductive reasoning is always true.

Video Examples: Deductive Reasoning


Solved Example on Deductive Reasoning

Ques: Is (x � y) � z the same as (z � y) � x always? Say yes or no. Explain your steps using deductive reasoning.

    Choices:
    A. Yes
    B. No
    Correct Answer: A

Solution:

    Step 1: (x � y) � z = z � (x � y), using commutative property of multiplication.
    Step 2: = z � (y � x), using commutative property of multiplication again.
    Step 3: = (z � y) � x, using associative property of multiplication.
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