I know the Arithmetic proof and everything but how to explain this practically to a kid who just started understanding the numbers?
In: 3202
You’ve seen the proof, but I never really liked it until someone told me: “find a number between 0.999… and 1”. That’s the real evidence to me. There is no number between them, so they have to be the same number.
Number between 1 and 2? 1.1.
Number between 1 and 1.1? 1.01
Etc
Rational numbers always have an infinite amount of numbers between any two numbers. They are called infinitely dense because of this.
Sorry for any non-technical aspects of this explanation, I’m a physicist, not a mathematician.
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