Math with Bad DrawingsCartoon Archive

Multiplying in Other Bases

October 16, 2017

A student claims 7×8 = 54 'in another base'; the questioner works out that no such base exists while the student flees.

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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/2017-10-16-multiplying-in-other-bases/ (CC BY-NC 4.0)
Transcript

A: "What's 7×8?" B: "It's 54." A: "Wrong. 56." B: "Oh... you meant in base ten."

A: "Well, yes, I... hmm... but if... wait..."

A: "There's no base where that's tr— hey! Get back here!"

B: "RUN AWAY"

Topics
Number & Arithmetic › Binary & Number BasesNumber & Arithmetic › MultiplicationAlgebra › Solving Equations
Level
Middle SchoolHigh School
Themes
Student LifeCommon MistakesTeachers & Classroom