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. YesB. 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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