Are you ready to challenge what you thought you knew about math and science? In this video, we dive deep into the intriguing world where units in science seem to defy the order of operations! We’ll revisit the fundamentals of PEMDAS and explore how it applies—or doesn’t apply—to units in scientific calculations.
Discover why units are not just numbers and how they have their own set of rules prioritizing clarity and consistency over strict mathematical interpretations. We’ll cover best practices for writing units, including the proper use of the centered dot for multiplication and the solidus for division. Learn about common pitfalls, such as when multiplication takes precedence over division in unit notation, and how to avoid confusing mistakes that can derail your calculations.
Whether you’re a science student eager to deepen your understanding or just curious about the quirks of unit notation, this video is packed with insights that will enhance your mathematical and scientific skills. Don’t let simple unit errors trip you up—master the conventions that make scientific communication precise and unambiguous!
Join us on this educational journey and take your unit game to the next level!
UPDATE! An astute viewer pointed out that the inferred grouping multiplication after a solidus isn’t just limited to unit notation, but can actually be found in mathematical equations. It seems to be a thing in certain physics books (and still can be avoided with the use of parentheses)!
So order of operations and unit notation may be more synced than I thought on this though fewer people write equations like that then write units like that…
#OrderOfOperations #UnitNotation #PEMDAS #MathTips #ScienceStudents #LearnScience #MathMistakes #characteranimator
Subscribe here! https://www.youtube.com/channel/UCYPsdPVV7q7seVMtfxuMhfw?sub_confirmation=1
❗️Check out some of my favorite videos! https://www.youtube.com/watch?v=TSQlM72_MiU&list=PLoDcIufsMwoegdWUdB3LRY8hh5_9HWoi0
❗️Here’s my COMPLETE Chemistry Course! https://www.youtube.com/watch?v=jnALtPN27B4&list=PLoDcIufsMwodm8zHlnLUHmoKeuHFx3tbz
Links to style guides:
BIPM : The International System of Units, 9th ed
(https://www.bipm.org/en/publications/si-brochure)
NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units
(https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-6-rules-and-style-conventions-printing-and-using)
Quantities, Units, and Symbols in Physical Chemistry, IUPAC Green Book, 3rd edition
(https://iupac.org/what-we-do/books/greenbook/)
Note: the IUPAC does disagree about multiple soludi… you can have them if you use parentheses…
I’ve been experimenting a lot with Adobe Character Animator and After Effects, so let me know what you think of the new format. A huge thanks to Dave Werner (Okay Samurai) for all of his excellent tutorials and puppets for Character Animator. A truly talented teacher!
https://okaysamurai.com
Are You Smarter than a 5th Grader logo owned by: By https://www.nick.com/shows/are-you-smarter-than-a-fifth-grader, Fair use, https://en.wikipedia.org/w/index.php?curid=65755156
Subscribe! http://goo.gl/m48XJv
Follow on Facebook! http://goo.gl/rsLFqy
Visit the Website for more info! http://www.guillotinedchemistry.com/
0:00 Introduction
0:25 PEMDAS Review
1:32 When Units Ignored PEMDAS
2:48 Why Units Break the Rules
3:20 Unit Notation Rules
5:38 Practice Problems
Add comment