This video was made for the #SoME1 Summer of Math Exposition by Grant Sanderson of 3Blue1Brown. Thank you for giving me the motivation to finally make something. Timestamps: 0:00 - Introduction to PEMDAS 0:38 - Previous Explanations 1:37 - Ambiguities in PEMDAS 2:16 - PEMDAS isn't Universal 3:21 - PEMDAS is Unintuitive 3:56 - Multiplication by Juxtaposition 5:12 - Equal Precedence isn't Intuitive 7:17 - Solutions 8:27 - Just Teach the Order of Operations 3Blue1Brown: https://www.youtube.com/channel/UCYO_jab_esuFRV4b17AJtAw Why aren't you making math videos?: https://www.youtube.com/watch?v=ojjzXyQCzso The Summer of Math Exposition: https://www.3blue1brown.com/blog/some1 The How and Why of Mathematics: https://www.youtube.com/channel/UCrVozefWxXC0PPs1IbiPh9w PEMDAS is wrong: https://www.youtube.com/watch?v=lLCDca6dYpA The Problem with PEMDAS: Why Calculators Disagree: https://www.youtube.com/watch?v=4x-BcYCiKCk minutephysics: https://www.youtube.com/channel/UCUHW94eEFW7hkUMVaZz4eDg The Order of Operations is Wrong: https://www.youtube.com/watch?v=y9h1oqv21Vs The Website Ambiguous PEMDAS by Oliver Knill was an important source for me in the ressearch for this video: Check out his website for much more info on the troubles with PEMDAS: https://people.math.harvard.edu/~knill/pedagogy/ambiguity/index.html #SummerofMathExposition #3Blue1Brown #Math #PEMDAS #OrderofOperations