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📌 SUMMARY In this video, Ryan breaks down the Order of Operations — also known as PEMDAS — and shows you exactly how to use it to simplify both numerical and algebraic expressions. You'll learn what each letter in PEMDAS stands for, how to handle variables by plugging in values, and how to avoid the most common mistakes students make. By the end, you'll have a reliable, step-by-step system for tackling any expression thrown at you. 0:00 - Introduction & Why Order of Operations Matters 0:40 - Learning Objectives 1:19 - Part 1: Why Does Order Matter? (The 2 + 3 × 4 Example) 2:26 - Breaking Down PEMDAS: Parentheses, Exponents, Multiply/Divide, Add/Subtract 4:40 - Key Vocabulary Review 5:30 - Part 2: PEMDAS with Variables — Intro to Algebraic Expressions 6:00 - Worked Example: Evaluating 3x² − 2x + 4 when x = 3 7:41 - Worked Example 1: Full PEMDAS Walkthrough 8:48 - Worked Example 2: Left-to-Right Rule for Multiplication/Division 9:53 - Worked Example 3: Evaluating 2x² + 5x − 3 when x = 4 11:34 - Worked Example 4 (The Trap!): Negative Numbers & Subtraction of a Negative 13:28 - Common Mistakes to Avoid 15:30 - Fraction Bars as Grouping Symbols 16:09 - Practice Problems — Pause & Try It 16:30 - Recap & Key Takeaways 16:52 - Outro & Where to Find Phorge Mathematics 🔗 CONNECT WITH PHORGE MATHEMATICS: ▶️ YouTube: / @phorgemathematics 📸 Instagram: / phorgemathematics ✖️ X/Twitter: https://x.com/Phorge_Math 💼 LinkedIn: / ryan-crone-5588853a8 👥 Facebook: / 1cg5iablga ▶️ Rumble: https://rumble.com/user/PhorgeMathema... 📖 Blog: https://phorgemath.blogspot.com/ 📧 Email: phorgemath@gmail.com #phorgemathematics #PhorgeMath #PEMDAS #orderofoperations #math #mathematics #algebra1 #algebrahelp #learnmath #mathhelp #STEMeducation #mathtutoring #highschoolmath #collegemath #studytips