I know the Arithmetic proof and everything but how to explain this practically to a kid who just started understanding the numbers?
In: 3202
I think the best chance with a young kid would be:
“Well, if two numbers are different, then there must be another number between them, right? [At this point you can point out that even numbers next to each other like 3 and 4 have numbers between them, like 3.5 etc] Can you think of a number between 0.999… and 1?”
If the kid is a bit older and has done some math, this is pretty intuitive as well:
x = 0.999…
10x = 9.999…
9x = 9.999… – 0.999…
9x = 9
x = 1
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