Math with Bad DrawingsCartoon Archive

Irrational Between Two Rationals

2016

Zooming in on two rationals that look adjacent reveals an irrational between them: no two rationals are ever next to each other.

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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/2016-01-01-irrational-between-two-rationals/ (CC BY-NC 4.0)
Transcript

[A figure zooms in with a magnifying glass on two rational points that look touching on a number line] [Zoomed: "rational" · "irrational!" · "rational"]

Topics
Number & Arithmetic › Irrational NumbersNumber & Arithmetic › Rational NumbersNumber & Arithmetic › Number LineNumber & Arithmetic › Density of Rationals
Level
Middle SchoolHigh SchoolCollege
Themes
Visual Explanations