I know the Arithmetic proof and everything but how to explain this practically to a kid who just started understanding the numbers?
In: 3202
The sum of an infinite geometric series is a/(1-r), where ‘a’ is the first term, and r is the ratio between successive terms. 0.9999…. can be made into an infinite geometric series by separating out the digits. 0.9999… = 0.9+0.09+0.009+…
In this case, a=0.9, r=0.1, the formula becomes 0.9/(1-0.1)==1.
You can use this formula for other repeating digit numbers.
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