What is the correct order of operations commonly represented by PEMDAS?

The correct order of operations represented by PEMDAS is critical in ensuring that mathematical expressions are solved consistently and accurately. This mnemonic device helps to remember the hierarchy in which different operations should be performed.

Starting with Parentheses, expressions inside parentheses should be resolved first. This allows for handling any groupings or priorities clearly within the expression. Next, Exponents are addressed, including any powers or roots, which are essential for determining the magnitude of numbers before applying further operations.

Following these, Multiplication and Division are treated equally and are performed from left to right. This means that if both operations appear in a given expression, they should be executed in the order they appear.

Lastly, Addition and Subtraction, also equal in their level of priority, are performed from left to right. This ensures that the arithmetic is completed in a manner that reflects the original sequence of operations as dictated by the problem.

The other choices do not accurately convey the complete order or the necessary nuances associated with the operations. For example, while addition and subtraction are typically grouped together, the correct handling of multiplication and division is also crucial, as they should be processed based on their position in the expression. Thus, the accurate representation of the order of operations is encapsulated in the choice that