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.

Solved Example on Deductive Reasoning

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.

Related Terms for Deductive Reasoning

  • Conclusion
  • Facts
  • Definitions
  • Rules
  • Properties