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.
Correct Answer: A
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.