The commutative property refers to the ability to change the order of the numbers in an operation without changing the result. It applies to both addition and multiplication. Here’s a quick check for both:
Commutative Property of Addition
- Example: \( a + b = b + a \)
- If \( a = 3 \) and \( b = 5 \):
- \( 3 + 5 = 8 \)
- \( 5 + 3 = 8 \)
Commutative Property of Multiplication
- Example: \( a \times b = b \times a \)
- If \( a = 4 \) and \( b = 6 \):
- \( 4 \times 6 = 24 \)
- \( 6 \times 4 = 24 \)
Summary
- For addition: Changing the order does not change the sum.
- For multiplication: Changing the order does not change the product.
If you have specific numbers in mind, feel free to share, and I can check them with you!
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