Math with Bad DrawingsCartoon Archive

Unlucky One-Three

October 4, 2018

Someone reasons that fear of the 13th floor is about the digits, then works out which number would be unlucky in other bases.

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Free for classrooms, worksheets, slides and other non-commercial use under CC BY-NC 4.0, with credit to Ben Orlin.

Cartoon by Ben Orlin, Math with Bad Drawings. https://cartoons.mathwithbaddrawings.com/2018-10-04-unlucky-one-three/ (CC BY-NC 4.0)
Transcript

A: "I've noticed many tall buildings have no 13th floor. The 12th floor is immediately followed by the '14th.' The fact that this satisfies people means that they don't really fear the number 13, but merely the numerals '1' and '3' in succession."

A: "Thus, in base twelve, people would fear the number we call '15.' In octal, they'd worry about our '11.' And the citizens of base three would live beyond such phobias, fearless and proud, embracing all numbers."

B: "Or maybe we're just easily deceived and superstitions are irrational?" A: "Irrationality?! But that's a property independent of base!"

Topics
Number & Arithmetic › Binary & Number BasesNumber & Arithmetic › Place ValueNumber & Arithmetic › Irrational Numbers
Level
Middle SchoolHigh School
Themes
Everyday LifePunsPuzzles & Problems