What calculation method involves both addition and subtraction before proceeding with division and multiplication?

The calculation method that involves both addition and subtraction before proceeding with division and multiplication is known as the Order of Operations. This method is a set of rules that dictates the sequence in which different mathematical operations should be performed to ensure consistent and accurate results.

In the context of mathematical expressions, the Order of Operations follows a specific hierarchy: parentheses are addressed first, followed by exponents, then multiplication and division (from left to right), and finally addition and subtraction (also from left to right). This hierarchy ensures that calculations are conducted in a structured manner, allowing for clarity and precision in the final results.

For example, in the expression ( 3 + 5 \times 2 ), according to the order of operations, multiplication is performed before addition, leading to ( 3 + 10 = 13 ) rather than ( 8 ) if addition was applied first.

This understanding emphasizes the importance of correctly applying the rules of the Order of Operations in various mathematical settings, including statistics, finance, and general arithmetic, making it a fundamental concept in mathematics.