Question

Example of commutative property

Answer 1

The commutative property refers to the ability to change the order of numbers in certain mathematical operations without changing the result. It applies to both addition and multiplication. Here are examples of each:

1. **Commutative Property of Addition**:
If \( a \) and \( b \) are any two numbers,
\[
a + b = b + a
\]
For instance, if \( a = 3 \) and \( b = 5 \):
\[
3 + 5 = 5 + 3 \implies 8 = 8
\]

2. **Commutative Property of Multiplication**:
Similarly, for multiplication,
\[
a \times b = b \times a
\]
For example, if \( a = 4 \) and \( b = 6 \):
\[
4 \times 6 = 6 \times 4 \implies 24 = 24
\]

In both cases, changing the order of the numbers does not affect the result.