Write two examples to show that:
whole numbers are closed under multiplication.

Answer

To show that whole numbers are closed under multiplication, we need to provide two examples where the multiplication of two whole numbers results in another whole number.

### Step-by-Step Solution:

1. **Understanding Whole Numbers**: Whole numbers are the set of numbers that include all positive integers and zero. For example, 0, 1, 2, 3, 4, 5, etc.

2. **Example 1**:
- Let \( a = 15 \) and \( b = 10 \).
- Now, we will multiply \( a \) and \( b \):
\[ a \times b = 15 \times 10 \]
- Calculating the multiplication:
\[ 15 \times 10 = 150 \]
- Here, both \( a \) and \( b \) are whole numbers, and their product \( 150 \) is also a whole number.

3. **Example 2**:
- Let \( a = 6 \) and \( b = 8 \).
- Now, we will multiply \( a \) and \( b \):
\[ a \times b = 6 \times 8 \]
- Calculating the multiplication:
\[ 6 \times 8 = 48 \]
- Again, both \( a \) and \( b \) are whole numbers, and their product \( 48 \) is also a whole number.

4. **Conclusion**: Since in both examples the product of two whole numbers resulted in another whole number, we can conclude that whole numbers are closed under multiplication.