# How do you order the following from least to greatest -sqrt1, 0.1, sqrt13, -3/5, sqrt6?

Apr 23, 2017

$- \sqrt{1} , - \frac{3}{5} , 0.1 , \sqrt{6} , \sqrt{13}$

#### Explanation:

Negative numbers are the smallest, so we need to pick between $- \sqrt{1} = - 1 , \text{ and } - \frac{3}{5} = - .6$.

Since $- \frac{5}{5} = - 1 , - \frac{3}{5} \text{ must be greater than } - 1$

Since $\sqrt{1} = 1 , 0.1 < \sqrt{1} < \sqrt{6} < \sqrt{13}$

Also,

$\sqrt{4} = 2$ so $\sqrt{6} > \sqrt{4}$

From a calculator $\sqrt{6} \approx 2.4495$

From a calculator $\sqrt{13} \approx 3.61$

So from least to greatest: $- \sqrt{1} , - \frac{3}{5} , 0.1 , \sqrt{6} , \sqrt{13}$