What property does the following equation show? \[ 5+7+9=7+5+9 \]

This equation demonstrates the commutative property of addition, which states that the order in which you add numbers does not affect the sum. Whether you compute \(5 + 7 + 9\) or rearrange the numbers to \(7 + 5 + 9\), the result remains 21. It's a nifty little quirk of addition that makes math a bit more flexible and fun! Additionally, this property is foundational in algebra and is a key principle in simplifying expressions and solving equations. By knowing that you can rearrange terms, you can often simplify your calculations and find solutions more efficiently. It's like having your own mathematical magic trick!