**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) ×zthe same as (z×y) ×xalways? 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