Why do calculators get this wrong? (We don't know!)
Check out Jane Street's programs and events: https://www.janestreet.com/join-jane-... These are all of the almost-π calculations I showed: 11^6 ÷ 13 ≈ (156158413/3600)π 17^5 ÷ 11 ≈ (366494029/8920)π 11^6 ÷ 17 ≈ (119415257/3600)π 19^9 ÷ 2^3 ≈ (65249503235207/5082)π 5^9 ÷ 3 ≈ (1226819353/5920)π 7^9 ÷ 19 ≈ (2623750469/3881)π 13^5 ÷ 7 ≈ (154266801/9137)π 21^6 ÷ 5 ≈ (27818908094/5095)π 23^9 ÷ 5^4 ≈ (4030701961529/4394)π Sheena's tweet / 1129114614321618951 The reddit post / got_this_while_doing_some_calculations_why... Farey sequence https://en.wikipedia.org/wiki/Farey_s... This is the 'best rational approximation' algorithm I used: https://www.johndcook.com/blog/2010/1... I've tested it on the Casio FX-83GT PLUS and Casio FX-991EX CLASSWIZ. Let me know what calculators you have checked! CORRECTIONS: At 8:30 I say "13" when I mean "11". Ignore what I say: the on-screen number is correct! Let me know if you spot anything else. Thanks to my Patreon supports who do support these videos and make them possible. Here is a random subset: Alan Flett Nikola Studer Philippe von Bergen Alan McNea Derek Chandler Jeremy Buchanan Alan H. Malcolm Rowe Glenn Watson Patrick Stover Support my channel and I can make more videos: / standupmaths And of course thanks to Jane Street who support my channel. They're amazing. https://www.janestreet.com/ Filming and editing by Matt Parker Additional camera work by Lucie Green That piano music is No.8 Requiem by Esther Abrami All other music by Howard Carter Design by Simon Wright and Adam Robinson MATT PARKER: Stand-up Mathematician Website: http://standupmaths.com/ US book: https://www.penguinrandomhouse.com/bo... UK book: https://mathsgear.co.uk/products/5b9f... Nerdy maths toys: http://mathsgear.co.uk/ A transcendental number is not the root of any integer polynomial! https://mathworld.wolfram.com/Transce...
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