# How do you order the following from least to greatest without a calculator -5, -sqrt24, -26/5, -5.5, -2pi, -4 3/4?

Jul 27, 2016

$- 2 \pi < - 5.5 < - \frac{26}{5} < - 5 < - \sqrt{24} < - 4 \frac{3}{4}$

#### Explanation:

It is apparent that $- 5.5 < - 5 < - 4 \frac{3}{4}$

Now as $25 > 24$, we have $- \sqrt{24} > - 5$; further as $2 \pi > 6$, $- 2 \pi$ is smallest and as $\frac{26}{5} = 5.2$,

the correct order from least to greatest is

$- 2 \pi < - 5.5 < - \frac{26}{5} < - 5 < - \sqrt{24} < - 4 \frac{3}{4}$