Which of the following is the correct order of operations that could be used on a difficult math problem that contained grouping symbols?

The correct answer is based on the standard order of operations used in mathematics, which helps to clarify how to evaluate expressions that involve different mathematical operations. The order specified in the answer encompasses the proper sequence to tackle such problems.

PEMDAS stands for parentheses, exponents, multiplication, division, addition, and subtraction. This mnemonic indicates the priority of operations that should be followed when simplifying mathematical expressions. First, calculations within parentheses or grouping symbols should be performed. Next, any exponents in the expression are resolved. After that, multiplication and division are handled from left to right, followed by addition and subtraction, also from left to right.

Understanding this hierarchy is essential, as it prevents ambiguity in mathematical expressions and ensures consistent results. Without following the correct order, the outcome can vary dramatically, leading to misconceptions in problems involving multiple operations or grouping symbols.

The other options do not properly establish this sequence or use recognized terminology. While some refer to the order of operations, they either omit fundamental elements or misrepresent the correct sequence. Therefore, PEMDAS serves as the most comprehensive and widely accepted method for addressing mathematical expressions correctly.