If a and b are two natural numbers, write the rule that gives the commutative property of multiplication of natural numbers.

Answer

### Step-by-Step Solution:

1. **Understanding the Commutative Property**: The commutative property of multiplication states that changing the order of the numbers being multiplied does not change the product. This applies to natural numbers as well.

2. **Defining the Variables**: Let’s denote two natural numbers as \( a \) and \( b \).

3. **Writing the Rule**: According to the commutative property, the rule can be expressed as:
\[ a \times b = b \times a \]
This means that multiplying \( a \) by \( b \) gives the same result as multiplying \( b \) by \( a \).

4. **Example to Illustrate**:
- Let's take \( a = 5 \) and \( b = 2 \).
- Calculate \( a \times b \):
\[ 5 \times 2 = 10 \]
- Now calculate \( b \times a \):
\[ 2 \times 5 = 10 \]
- Both calculations give the same result, confirming the commutative property.

5. **Conclusion**: Therefore, the commutative property of multiplication for natural numbers can be summarized as:
\[ a \times b = b \times a \]
This holds true for any natural numbers \( a \) and \( b \).