Package for Root-2
A delivery driver tries to find √2's address on ever-finer number lines, since its decimal expansion never ends.
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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/2018-06-08-package-for-root-2/ (CC BY-NC 4.0)Transcript
Courier (on phone): "Hello, square root of 2? I have a package for you but I'm having trouble finding the address." √2: "Oh, I'm between 1.4 and 1.5." [Number line 1–2]
Courier: "I'm here — where are you?" √2: "Okay, now go between 1.41 and 1.42." [Number line 1.4–1.5]
...LATER... √2: "Okay, now go between 1.41421356 and 1.41421357..." Courier: "Look, can I just leave the package with one of your neighbors?" [Number line 1.4142135–1.4142136]