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A comment on 0.999...= 1. Parent comment
I can just do it backwards - is 1/3 equal to 0.33333...?
1 / 3 = 0.33333... 3 * 0.33333... = 0.99999... and my child brain "knows" that 1 != 0.99999...
In my child brain this proves that 1 / 3 is not equal to 0.33333..., it's just an approximation.
So I agree with larschdk, those problems are equivalent and one can't be used to prove the other ...
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I can just do it backwards - is 1/3 equal to 0.33333...?
1 / 3 = 0.33333... 3 * 0.33333... = 0.99999... and my child brain "knows" that 1 != 0.99999...
In my child brain this proves that 1 / 3 is not equal to 0.33333..., it's just an approximation.
So I agree with larschdk, those problems are equivalent and one can't be used to prove the other ...