query: Is $1.9999...$ equal to $2$?
positive_passages.docid: 286
positive_passages.text: Is it true that $0.999999999\ldots=1$?
negative_passages.docid: 64592
negative_passages.text: The last two digits of $9^{9^9}$
negative_passages.docid: 7327
negative_passages.text: Sum of the digits of the number 2^1000
negative_passages.docid: 148647
negative_passages.text: If $\dfrac{4x^2-1}{4x^2-y^2}$ is an integer, then it is $1$
negative_passages.docid: 62348
negative_passages.text: One divided by Infinity?
negative_passages.docid: 45240
negative_passages.text: Starting digits of $2^n$.
negative_passages.docid: 50662
negative_passages.text: Why does this pattern occur: $123456789 \times 8 + 9 = 987654321$
negative_passages.docid: 140300
negative_passages.text: Does the interval $[0,1]$ contains more real numbers than $(0,2)$?
negative_passages.docid: 27844
negative_passages.text: How do we prove that $\lfloor0.999\cdots\rfloor = \lfloor 1 \rfloor$?
negative_passages.docid: 94983
negative_passages.text: Can an odd number $n$ divide $2^n-1$?
negative_passages.docid: 64216
negative_passages.text: Is $0.1010010001000010000010000001 \ldots$ transcendental?
negative_passages.docid: 33737
negative_passages.text: Does $1.0000000000\cdots 1$ with an infinite number of $0$ in it exist?
negative_passages.docid: 44630
negative_passages.text: Is $\frac{1}{\sqrt{2}}$ a fraction or not?
negative_passages.docid: 79274
negative_passages.text: $1=2$ | Continued fraction fallacy
negative_passages.docid: 104158
negative_passages.text: $\frac 00=$ ? Why It is un answerable?
negative_passages.docid: 31165
negative_passages.text: Is this workaround used by my book to find the value of $1/0$ legitimate?
negative_passages.docid: 80004
negative_passages.text: Why is $1/i$ equal to $-i$?