Give an example to justify whether:
whole numbers are commutative under subraction?

Answer

To determine whether whole numbers are commutative under subtraction, we need to check if the equation \( a - b = b - a \) holds true for whole numbers \( a \) and \( b \).

### Step-by-Step Solution:

1. **Define Whole Numbers**: Whole numbers are the set of numbers that include 0 and all positive integers (0, 1, 2, 3, ...).

2. **Understand Commutative Property**: The commutative property states that the order of the numbers does not affect the result. For subtraction, we need to check if \( a - b \) is equal to \( b - a \).

3. **Choose Whole Numbers**: Let's choose two whole numbers for our example. We will take \( a = 5 \) and \( b = 1 \).

4. **Calculate \( a - b \)**:
\[ a - b = 5 - 1 = 4 \]

5. **Calculate \( b - a \)**:
\[ b - a = 1 - 5 = -4 \]

6. **Compare the Results**: Now we compare the two results:
\[ 4 \neq -4 \]

7. **Conclusion**: Since \( a - b \) does not equal \( b - a \), we conclude that whole numbers are not commutative under subtraction.

### Final Answer:
Whole numbers are not commutative under subtraction.

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