Mastering Order of Operations Using PEMDAS

The Organic Chemistry Tutor

This video serves as a comprehensive tutorial on the Order of Operations in mathematics, commonly known by the acronym PEMDAS. It begins by defining the acronym—Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction—and systematically walks viewers through examples of increasing complexity. The narrator specifically addresses the hierarchy of operations, explaining which steps take precedence and clarifying the often-misunderstood rule of calculating from "left to right" when dealing with operations of equal priority, such as multiplication and division. The video covers several key mathematical themes, including the foundational rules of arithmetic, the specific priority of exponents, and the critical distinction between squaring a negative number versus the negative of a squared number (e.g., (-3)² vs -3²). It also explores nested operations within parentheses and how to handle complex expressions involving fraction bars where the numerator and denominator must be simplified separately. For educators, this resource is highly valuable for solidifying pre-algebra and algebra skills. It is particularly effective at targeting common student misconceptions, such as the belief that multiplication always comes before division, or confusion regarding negative signs and exponents. The clear, step-by-step walkthroughs make it an excellent tool for introducing the concept, reviewing before a test, or providing remediation for students struggling with calculation accuracy.