query: Why does $1/0.5$ equal $2$?
positive_passages.docid: 19561
positive_passages.text: Why is $\frac{1}{\frac{1}{X}}=X$?
negative_passages.docid: 17963
negative_passages.text: I have learned that 1/0 is infinity, why isn't it minus infinity?
negative_passages.docid: 58570
negative_passages.text: Is there a sane reason why ¹⁄₁₂₅ is not, instead, exactly half of ¹⁄₆₀?
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: 41418
negative_passages.text: $2+2 = 5$? error in proof
negative_passages.docid: 48086
negative_passages.text: Why is this series of square root of twos equal $\pi$?
negative_passages.docid: 31954
negative_passages.text: Why this proof $0=1$ is wrong?(breakfast joke)
negative_passages.docid: 121052
negative_passages.text: Where is the mistake? $-1=(-1)^{2/2}=\left(\left (-1\right)\displaystyle ^2\right)^{1/2}=1^{1/2}=\sqrt 1=1$
negative_passages.docid: 140086
negative_passages.text: Does $3-4+1$ equal $0$ or $-2$.. or maybe $2$?
negative_passages.docid: 67410
negative_passages.text: Why does this expected value simplify as shown?
negative_passages.docid: 140342
negative_passages.text: $\frac {1}{5}-\frac{1.4}{5.10}+\frac{1.4.7}{5.10.15}-\cdot\cdot\cdot\cdot\cdot\cdot\cdot$
negative_passages.docid: 44098
negative_passages.text: How come $32.5 = 31.5$? (The "Missing Square" puzzle.)
negative_passages.docid: 49610
negative_passages.text: If $P(|X-19.1| \leq a) = 0.98$ then why is it necessarily $P(\frac{X-19.1}{17} \leq \frac{a}{17})= 0.99$?
negative_passages.docid: 95145
negative_passages.text: Does $\exp(2ir\pi)$ equal $1$? What's wrong?
negative_passages.docid: 115511
negative_passages.text: Why do we invert then multiply when dividing fractions?
negative_passages.docid: 70660
negative_passages.text: Why is $\sqrt{8}/2$ equal to $\sqrt{2}$?
negative_passages.docid: 51365
negative_passages.text: Why dividing two integers doesn't get a float?