In mathematics, the **associative property** is a property of some binary operations,
which means that rearranging the parentheses in an expression will not change the result.
**Addition** and **multiplication** of real numbers are associative operations.

For any **real numbers** a, b, and c:

\begin{align} (a+b)+c &= a+(b+c) \\ \\ (a\times b) \times c &= a\times (b\times c) \\ \end{align}

If a binary operation is associative, repeated application of the operation produces the same result regardless of how valid pairs
of parentheses are inserted in the expression. This is called the **generalized associative law**.

Associativity is not the same as **commutativity**, which addresses whether the order of two operands affects the result.