Understanding how logarithmic scale is different from linear scale and why it could be useful Watch the next lesson: https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/richter-scale?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Missed the previous lesson? https://www.khanacademy.org/math/algebra2/logarithms-tutorial/logarithm_properties/v/solving-logarithmic-equations_dup_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraII Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you! About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy’s Algebra II channel: https://www.youtube.com/channel/UCsCA3_VozRtgUT7wWC1uZDg?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy
Watch my FIELD DAY video, “Home Sweet Whittier”: http://bit.ly/1QKKcuo And subscribe to FIELD DAY!! http://www.youtube.com/fieldday Jake and Kevin will be doing field days soon!! LINKS, SOURCES, and MORE are below: This video was shot in beautiful Bucharest, Romania :) my twitter: http://www.twitter.com/tweetsauce my instagram: http://www.instagram.com/electricpants music by http://www.youtube.com/JakeChudnow and http://www.audionetwork.com “How Old Can We Get?” Vsauce1 video: https://www.youtube.com/watch?v=6LyCC6jjcx8 The Universal History of Numbers: http://www.amazon.com/The-Universal-History-Numbers-Prehistory/dp/0471375683 Highest number counted to with one breath: https://recordsetter.com/world-record/highest-number-counted-breath/17691 Highest number counted to: https://recordsetter.com/world-record/highest-number-counted-to/13623 Video of Harper reaching one million: https://www.youtube.com/watch?v=_aqCC2PVNcA Jon Counts to 100,000 (part 1): https://www.youtube.com/watch?v=KMDjQHzRj6U Jon Eats Carrots: https://www.youtube.com/channel/UCVgEzGuc7zYLI0fi4rSNnGQ Jon Drinks Water: https://www.youtube.com/channel/UC15CpXEtQ4DH6UCE7kNcQOA PetitTube: http://www.petittube.com/ Vi Hart on logarithms and counting: https://www.youtube.com/watch?v=N-7tcTIrers Logarithmic perception: http://en.wikipedia.org/wiki/Weber%E2%80%93Fechner_law http://en.wikipedia.org/wiki/Stevens%27_power_law Thinking logarithmically: http://www.radiolab.org/story/91698-innate-numbers/ https://www.khanacademy.org/math/algebra2/exponential_and_logarithmic_func/log_functions/v/vi-and-sal-explore-how-we-think-about-scale http://www.science20.com/news_articles/logarithm_versus_linear_thinking_why_our_brains_midpoint_1_and_9_might_be_3-94891 http://www.huffingtonpost.com/ben-thomas/whats-halfway-between-1-and-9-kids-and-scientists-say-3_b_1982920.html psychophysics of price: http://www.researchgate.net/publication/24098883_Market_Price_Variation_Perceived_Price_Variation_and_Consumers'_Price_Search_Decisions_for_Durable_Goods subitizing: http://en.wikipedia.org/wiki/Subitizing approximate number system: http://en.wikipedia.org/wiki/Approximate_number_system numerical cognition: http://en.wikipedia.org/wiki/Numerical_cognition Panamath ANS test: http://www.panamath.org/testyourself.php Planck Length: http://www.physlink.com/Education/AskExperts/ae281.cfm interactive “scale of the universe”: http://htwins.net/scale2/
Free trial at The Great Courses Plus: http://ow.ly/tKWt306Gg7a Dr James Grime discusses "e" - the famed Euler's Number. More links & stuff in full description below ↓↓↓ A bit extra from this video: https://youtu.be/uawO3-tjP1c More James Grime videos from Numberphile: http://bit.ly/grimevideos Support us on Patreon: http://www.patreon.com/numberphile NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: http://www.facebook.com/numberphile Numberphile tweets: https://twitter.com/numberphile Subscribe: http://bit.ly/Numberphile_Sub Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile Videos by Brady Haran Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Numberphile T-Shirts: https://teespring.com/stores/numberphile Other merchandise: https://store.dftba.com/collections/numberphile
my twitter: @tweetsauce my instagram: electricpants Sources and links to learn more below! I’m very grateful to mathematician Hugh Woodin, Professor of Philosophy and Mathematics at Harvard, for taking the time on multiple occasions to discuss this topic with me and help me wrap my (finite) head around it. I’m also grateful to David Eisenbud, the Director of the Mathematical Sciences Research Institute (MSRI) and professor of mathematics at the University of California, Berkeley, for his help and for connecting me with Hugh Woodin. And of course, big thanks to Brady Haran who created the “mile of pi” seen in this video and connected me with all these mathematicians in the first place. His channel, Numberphile, is superb: https://www.youtube.com/user/numberphile BOOKS related to these topics that I used: “The Outer Limits of Reason” by Noson S. Yanofsky: http://amzn.com/0262019353 “Infinity and The Mind” by Rudy Rucker: http://amzn.com/0691121273 “Roads to Infinity” by John C. Stilwell: http://amzn.com/1568814666 “More Precisely: The Math You Need to Do Philosophy” by Eric Steinhart: http://amzn.com/1551119099 “Satan, Cantor and Infinity: Mind-Boggling Puzzles” by Raymond M. Smullyan: http://amzn.com/0486470369 classic book that helps introduce concept of axioms: “Introduction to the Foundations of Mathematics” by Raymond L. Wilder: http://amzn.com/0486488209 Hugh Woodin speaking about infinity at the World Science Festival: https://youtu.be/KDCJZ81PwVM?t=29m45s Names of large (finite) numbers: https://en.wikipedia.org/wiki/Names_of_large_numbers Geoglyphs: The biggest number: https://goo.gl/maps/7GWcpnzo7iG2 Fovant badges: https://en.wikipedia.org/wiki/Fovant_Badges Battalion Park: https://en.wikipedia.org/wiki/Battalion_Park A mile of pi [VIDEO]: https://www.youtube.com/watch?v=0r3cEKZiLmg Wikipedia’s great visualization of ordinals out to omega^omega: https://en.wikipedia.org/wiki/File:Omega-exp-omega-labeled.svg as seen on: https://en.wikipedia.org/wiki/Ordinal_number this is also a good page about ordinals: http://math.wikia.com/wiki/Ordinal_Number also: http://www.cut-the-knot.org/WhatIs/Infinity/Ordinals.shtml and: https://en.wikipedia.org/wiki/Order_type and https://en.wikipedia.org/wiki/Well-order Axioms: https://en.wikipedia.org/wiki/Axiom https://www.reddit.com/r/askscience/comments/30xokb/have_there_been_axioms_that_later_have_been/ http://philosophy.stackexchange.com/questions/5922/what-is-the-difference-between-dogma-and-an-axiom http://www.cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms1.pdf http://www.cs.umd.edu/~gasarch/BLOGPAPERS/belaxioms2.pdf THE UNREASONABLE EFFECTIVENSS OF MATHEMATICS IN THE NATURAL SCIENCES [PDF]: http://www.maths.ed.ac.uk/~aar/papers/wigner.pdf https://en.wikipedia.org/wiki/The_Unreasonable_Effectiveness_of_Mathematics_in_the_Natural_Sciences Large Cardinal game based on 2048: http://cantorontheshore.blogspot.it/2014/10/one-reinhardt-and-counting.html Other good resources: http://quibb.blogspot.com/2012/01/infinity-first-transfinite-cardinal.html http://plato.stanford.edu/entries/set-theory/ http://cantorsattic.info/Cantor%27s_Attic http://cantorontheshore.blogspot.co.at/2014/09/artemis-fowl-and-large-cardinals_22.html http://isomorphism.es/post/10782081422/what-comes-after-infinity-transfinite-arithmetic-and-ord https://lukepalmer.wordpress.com/2007/06/14/the-lesser-of-infinitely-many-evils/ MUSIC BY: http://www.youtube.com/JakeChudnow http://www.audionetwork.com
View full lesson: http://ed.ted.com/lessons/how-does-math-guide-our-ships-at-sea-george-christoph Without math, would our seafaring ancestors ever have seen the world? Great mathematical thinkers and their revolutionary discoveries have an incredible story. Explore the beginnings of logarithms through the history of navigation, adventure and new worlds. Lesson by George Christoph, animation by the Hobizals.
What is 6÷2(1+2) = ? This problem went viral and generated millions of comments on Facebook, Twitter, YouTube and social media sites. I explain how to get the correct answer by using the modern interpretation of the order of operations. I also explain how you would get a different answer under historical usage of the division symbol. *I get many, many emails about this problem. Before you send an email, check out my blog post or in the links provided below which address every concern I have received so far. If you write to me about this be advised I probably will not respond. Blog (text explanation): http://wp.me/p6aMk-4OV Slate explains the history of the division symbol http://www.slate.com/articles/health_and_science/science/2013/03/facebook_math_problem_why_pemdas_doesn_t_always_give_a_clear_answer.html Here is a 1917 article from "The American Mathematical Monthly" that explains the usage of the division symbol as an exception to the order of operations http://www.jstor.org/stable/2972726?seq=1#page_scan_tab_contents Google evaluation https://www.google.com/#q=6%C3%B72(1%2B2) WolframAlpha evaluation http://www.wolframalpha.com/input/?i=6%C3%B72(1%2B2) If you like my videos, you can support me at Patreon: https://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you. My Blog: https://mindyourdecisions.com/blog/ Twitter: https://twitter.com/preshtalwalkar Facebook: https://www.facebook.com/pages/Mind-Your-Decisions/168446714965 Google+: https://plus.google.com/108336608566588374147/posts Pinterest: https://www.pinterest.com/preshtalwalkar/ Tumblr: https://preshtalwalkar.tumblr.com/ Instagram: https://instagram.com/preshtalwalkar/ Patreon: https://www.patreon.com/mindyourdecisions Newsletter (sent about 2 times a year): http://eepurl.com/KvS0r If you buy from the links below I may receive a commission for sales. This has no effect on the price for you. My Books "The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 3.8/5 stars on 31 reviews) http://amzn.to/1uQvA20 "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 2 reviews) http://amzn.to/1o3FaAg "Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.4/5 stars on 13 reviews. http://amzn.to/1GhUUSH "Math Puzzles Volume 2" is a sequel book with more great problems. (rated 5/5 stars on 3 reviews) http://amzn.to/1NKbyCs "Math Puzzles Volume 3" is the third in the series. (rated 3.8/5 stars on 4 reviews) http://amzn.to/1NKbGlp "40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.3/5 stars on 12 reviews) http://amzn.to/1LOCI4U "The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 4 reviews) http://amzn.to/18maAdo "Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 3 reviews) http://amzn.to/XRm7M4
About Descendants: Wicked World: The villain kids’ story continues with animated shorts, Descendants: Wicked World! Join Mal, Evie, Jay and Carlos as they discover what the future holds for them at Auradon Prep. Meet new characters from the Isle of the Lost and Auradon, see more wicked fun adventures, and experience Descendants in a whole new way! Official Site: http://www.disney.com/descendants Get the inside scoop on everything going on in Auradon right now! Follow @Descendants on Twitter: https://twitter.com/Descendants Follow @DisneyDescendants on Instagram: http://instagram.com/DisneyDescendants
On this week's episode of Wiki Kids, learn about 4th of July a.k.a Independence Day. Comment below with what you want to learn next on Wiki Kids! SUBSCRIBE! http://bit.ly/18enloo Like us on Facebook: http://on.fb.me/1EFNxXE Follow us on Twitter: http://bit.ly/1EUu2fI Follow us on Instagram: http://bit.ly/1GIWGxU Follow us on Pinterest: http://bit.ly/1OIKV1I Best of Cool School: http://bit.ly/13FUvo5 Story Time with Ms. Booksy: http://bit.ly/12Skmie Nursery Rhyme Time: http://bit.ly/1b8cYBj Arts and Crafts with Crafty Carol: http://bit.ly/10zZCcF Story Circle: http://bit.ly/1DQ5b75 Wiki for Kids: http://bit.ly/1duktYC Mr. Histor's History Lessons: http://bit.ly/14raQkw Letters of the Alphabet: http://bit.ly/1b8d3oK Cool School is a place for kids to learn, laugh, and sing. Cool School features classic children's stories, nursery rhymes, lullabies, fun kids songs, educational music, arts and crafts, history, science, math and more!
Happy Presidents Day! Let's learn some fun facts about the US Presidents! Did you know that President Obama collects comic books? And that Bill Clinton once aced a My Little Pony quiz? Watch for more crazy presidential facts! SUBSCRIBE!! http://bit.ly/18enloo Best of Cool School: http://bit.ly/13FUvo5 Story Time with Ms. Booksy: http://bit.ly/12Skmie Nursery Rhyme Time: http://bit.ly/1b8cYBj Letters of the Alphabet: http://bit.ly/1b8d3oK Arts and Crafts with Crafty Carol: http://bit.ly/10zZCcF Mr. Histor's History Lessons: http://bit.ly/14raQkw Ron's Music Class: http://bit.ly/1cS5qke Cool School is a place for kids to learn, laugh, and sing. Cool School features classic children's stories, nursery rhymes, lullabies, fun kids songs, educational music, arts and crafts, history, science, math and more!
It's time for some awesome fan mail that was given to me in person at the LOL Surprise Party! Thank you soo much cookie fans for thinking of me and hanging out with me in Hollywood CA!!! HUGS! FREE Subscription Never miss a video! Click here : http://bit.ly/1RYkDF6 Watch More Cookie Swirl C Toy Videos: ❤️ https://www.youtube.com/watch?v=p-B7VChtJY0&list=PLL-Nk7g-sSACaLvIyKnwd_AqptIeS4qap&index=8 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 www.cookieswirlc.com Who Is Cookieswirlc - a unique channel bursting with fun, positive, happy energy featuring popular videos on Disney Frozen, Princesses, Littlest Pet Shop LPS, Shopkins, mermaids, My Little Pony MLP, LOL Surprise baby dolls, Lego, Barbie dolls, Play Doh, and much muchy more!!! Everything form stories, series, movies, playset toy reviews, hauls, mystery surprise blind bag openings, and DIY do it yourself fun crafts! 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 🍪 ◕‿◕ Let's face it, you rock cookie fans! I'll see you in my next video!