I know the Arithmetic proof and everything but how to explain this practically to a kid who just started understanding the numbers?
In: 3202
.9999… = 1 isn’t really a math trick, it’s just a side effect of converting fractions into decimal formatting. 1/3 = .3333…. They are the same exact quantity, just written in different ways.
You have no issues with 1/3 + 1/3 + 1/3 = 3/3 = 1 right?
Well 1/3 written as a decimal is .3333… and three of those makes .9999… The quantities you are working with have not changed, you’re just writing them out differently.
It’s like how hola and ciao both mean hello, it’s just a different way of writing the same thing.
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1 – 0.999…. = 0.0000… an *infinite* string of zeros. The nines never stop, so the zeros never stop either, and the last little 1 on the end never gets to exist.
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