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1) It does not make any sense! It should not equal 1!

The explanation I have heard is that it approaches one without reaching it, like an asymptote on a graph, it will get infinitely close, but cannot equal the value of the asymptote.

@haroldThe explanation I have heard is that it approaches one without reaching it, like an asymptote on a graph, it will get infinitely close, but cannot equal the value of the asymptote. Im not saying that I completely believe it does not equal 1, but it does hurt my head to think it does

I've had this argument with a friend. To me, a decimal number is still just that, a decimal. Nothing other than 1 can equal 1. If anything, the proof only suggests to me not that .99999 repeating equals 1, but that instead that the decimal system is a flawed way to represent partial numbers.

QuoteThe explanation I have heard is that it approaches one without reaching it, like an asymptote on a graph, it will get infinitely close, but cannot equal the value of the asymptote. I agree.My math teacher has this picture on a shirt