👉 Mathematical orders, also known as precedence rules, are a set of guidelines that dictate the order in which operations should be performed when solving mathematical expressions to ensure consistent and accurate calculations. These rules are crucial in preventing errors and misunderstandings, especially when multiple operations are involved. In general, the order of operations follows the PEMDAS/BODMAS acronym: Parentheses/Brackets first, then Exponents (powers and roots), followed by Multiplication and Division from left to right (left-to-right), and finally Addition and Subtraction from left to right (also left-to-right). For example, in the expression 3 + 4 × 2, multiplication is performed before addition, resulting in 11. This systematic approach ensures that mathematical expressions are evaluated uniformly, making problem-solving more straightforward and reliable.