query: Is the number 0.2343434343434.. rational?
positive_passages.docid: 63804
positive_passages.text: Proof that every repeating decimal is rational
negative_passages.docid: 60411
negative_passages.text: Why is $\frac{987654321}{123456789} = 8.0000000729?!$
negative_passages.docid: 29780
negative_passages.text: If $x$ is a positive rational but not an integer, is $x^x$ irrational?
negative_passages.docid: 97071
negative_passages.text: Is the cube root of a prime number rational?
negative_passages.docid: 44476
negative_passages.text: Can we ever get an irrational number by dividing two rational numbers?
negative_passages.docid: 143733
negative_passages.text: Is this proof that $\sqrt 2$ is irrational correct?
negative_passages.docid: 147363
negative_passages.text: Is $\large \frac {\pi}{e}$ rational, irrational, or trandescendal?
negative_passages.docid: 148310
negative_passages.text: Showing rational numbers are algebraic
negative_passages.docid: 142008
negative_passages.text: Find all natural numbers $n$ such that ${(n+1)}^{1/2}-{(n-1)}^{1/2}$ is rational
negative_passages.docid: 22397
negative_passages.text: Is 0.9999... equal to -1?
negative_passages.docid: 18451
negative_passages.text: Why does "$(( ~33 ))" produce -34?
negative_passages.docid: 94983
negative_passages.text: Can an odd number $n$ divide $2^n-1$?
negative_passages.docid: 22762
negative_passages.text: How can adding an infinite number of rationals yield an irrational number?
negative_passages.docid: 37826
negative_passages.text: Is $0.23571113171923293137\dots$ transcendental?
negative_passages.docid: 110549
negative_passages.text: Is there a commonly used rational numbers library in Java?
negative_passages.docid: 37642
negative_passages.text: Why is $\pi$ irrational if it is represented as $C/D$?
negative_passages.docid: 87410
negative_passages.text: Are there real numbers that are neither rational nor irrational?