query: How would you convince the child-me this is false: $0.\bar{9} = 1 \implies \bar{9} = - 1$?
positive_passages.docid: 13363
positive_passages.text: Why does an argument similiar to 0.999...=1 show 999...=-1?
negative_passages.docid: 51191
negative_passages.text: Does a negative number really exist?
negative_passages.docid: 106562
negative_passages.text: Is $3 \ge 1$ or is it just $3 > 1$?
negative_passages.docid: 154133
negative_passages.text: Flawed proof by induction that $a^{n-1}=1$
negative_passages.docid: 154459
negative_passages.text: Constructing a HoTT proof term of 1≠0
negative_passages.docid: 108873
negative_passages.text: How would one be able to prove mathematically that $1+1 = 2$?
negative_passages.docid: 52322
negative_passages.text: Implication in mathematics - How can A imply B when A is False?
negative_passages.docid: 16948
negative_passages.text: Need help with a proof that if $xy=0$ then $x=0$ or $y=0$
negative_passages.docid: 70266
negative_passages.text: 1-1 correspondence between [0,1] and [0,1)
negative_passages.docid: 122737
negative_passages.text: How to understand why $x^0 = 1$, where $x$ is any real number?
negative_passages.docid: 108923
negative_passages.text: What is wrong with this false proof? $-1=(-1)^1=(-1)^\frac{2}{2}=((-1)^2)^\frac{1}{2}=\sqrt{(-1)^2}=\sqrt{1}=1$
negative_passages.docid: 97952
negative_passages.text: Square root of 1 is (not) -1
negative_passages.docid: 103545
negative_passages.text: Prove "casting out nines" of an integer is equivalent to that integer modulo 9
negative_passages.docid: 34024
negative_passages.text: Are +0 and -0 the same?
negative_passages.docid: 150321
negative_passages.text: How do you prove Cov $\left( \bar{X} , X_i - \bar{X} \right) = 0$?
negative_passages.docid: 94627
negative_passages.text: What's wrong with this derivation that $i\hbar = 0$?
negative_passages.docid: 55094
negative_passages.text: How to show $i^{-1} = -i$?