this post was submitted on 27 Jun 2024
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Somehow I have the feeling that this is not going to convince people who think that 0.9999... /= 1, but only make them madder.
Personally I like to point to the difference, or rather non-difference, between 0.333... and ⅓, then ask them what multiplying each by 3 is.
Oh shit, don't think I saw that before. That makes it intuitive as hell.
The thing is 0.333... And 1/3 represent the same thing. Base 10 struggles to represent the thirds in decimal form. You get other decimal issues like this in other base formats too
(I think, if I remember correctly. Lol)
Cut a banana into thirds and you lose material from cutting it hence .9999
That’s not how fractions and math work though.