Give an example to justify whether:
whole numbers are not commutative under division?

Answer

To determine whether whole numbers are commutative under division, we need to check if the division of two whole numbers A and B satisfies the commutative property. The commutative property states that A ÷ B should be equal to B ÷ A for all whole numbers A and B.

### Step-by-Step Solution:

1. **Choose two whole numbers**: Let's take A = 14 and B = 7.

2. **Calculate A ÷ B**:
- A ÷ B = 14 ÷ 7
- This equals 2.

3. **Calculate B ÷ A**:
- B ÷ A = 7 ÷ 14
- This equals 1/2 or 0.5.

4. **Compare the results**:
- From our calculations, A ÷ B = 2 and B ÷ A = 0.5.
- Since 2 is not equal to 0.5, we conclude that A ÷ B ≠ B ÷ A.

5. **Conclusion**:
- Since we found that A ÷ B does not equal B ÷ A, we can say that whole numbers are not commutative under division.

6. **Special Case**:
- If A and B are the same whole number (e.g., A = 5 and B = 5), then:
- A ÷ B = 5 ÷ 5 = 1
- B ÷ A = 5 ÷ 5 = 1
- In this case, A ÷ B = B ÷ A, which satisfies the commutative property, but this is only true when A and B are the same.