| $\sqrt{2}$ | $1.414 \approx \dfrac{17}{12} \approx \dfrac{99}{70}$ |
| $\sqrt{3}$ | $1.732 \approx \dfrac{26}{15} \approx \dfrac{31}{18}$ |
| $\pi$ | $3.14 \approx \dfrac{22}{7} \approx \dfrac{355}{113}$ |
| $\pi^2$ | $9.87 \approx \dfrac{49}{5} \approx \dfrac{355}{36}$ |
| $\pi^3$ | $30.0063 \approx 31$ |
| $e$ | $2.72 \approx \dfrac{19}{7} \approx \dfrac{87}{32} \approx \dfrac{2721}{1001}$ |
| $e^2$ | $7.39 \approx \dfrac{22}{3}$ |
| $e^3$ | $20.0855 \approx 20$ |
| $\phi$ | $\dfrac{1+\sqrt{5}}{2} \approx 1.618 \approx \dfrac{13}{8} \approx \dfrac{21}{13} \approx \dfrac{255}{14}$ |