New posts in Number Comparison

Find the greatest integer less than $\frac{1}{\sin^2(\sin(1))}$ without calculator.

Which is greater $\frac{13}{32}$ or $\ln \left(\frac{3}{2}\right)$

Showing that $\frac{1}{18} + \frac{1}{19} + \cdots + \frac{1}{47} < 1$ without brute force calculation

Is there an easy way to see that ${1\over5} + \frac{1}{6} + \frac{1}{7} + \frac{1}{8} + \frac{1}{9} + \frac{1}{10} + \frac{1}{11} + \frac{1}{12} > 1$?

Comparing two close numbers

How do I compare $\sqrt{2}$ and $\pi^{1/ \pi}$?

$\sin(40^\circ)<\sqrt{\frac{3}7}$

What is the meaning of the symbol $\not\geq$, and why would it be preferred to $<$?

$\sin 9^{\circ}$ or $\tan 8^{\circ} $ which one is bigger?

How to prove $\sqrt{5}-\sqrt{3}$ is bigger than $\sqrt{15}-\sqrt{13}$