Question

Q. PUZZLE
a) I am the only rational number who does not have a reciprocal.
b) We are 2 rational numbers who are additive inverse of each other but not reciprocals of each other.
c) I am a rational number. Multiply me by 4 to get my reciprocal.

Answer 1

$$\begin{gathered} \mathrm{Dear}\mathrm{Student}, \\ \mathrm{a})0\mathrm{is}\mathrm{the}\mathrm{only}\mathrm{rational}\mathrm{number}\mathrm{that}\mathrm{does}\mathrm{not}\mathrm{have}\mathrm{reciprocal}. \\ \mathrm{b})1\mathrm{and}-1\mathrm{are}\mathrm{the}\mathrm{rational}\mathrm{number}\mathrm{that}\mathrm{follows} \\ \mathrm{c})\mathrm{Let}\mathrm{rational}\mathrm{number}\mathrm{is}\mathrm{x}\mathrm{so} \\ \mathrm{x}\times 4=\frac{1}{\mathrm{x}} \\ {\mathrm{x}}^2=\frac{1}{4} \\ \mathrm{x}=\pm \frac{1}{2} \\ \mathrm{Regards} \end{gathered}$$