Question

order the set of numbers from least to greatest
$- 4.83333333 \\ 0.4 \\ \sqrt{8}$
​

Answer 1

$-4.83333333\textrm{ },\textrm{ }0.4\textrm{ },\textrm{ }\sqrt{8}$

Step-by-step explanation:

The first number $-4.83333333$ is clearly less than $0$.

• $-4.83333333$ ≤ $0$

The second number $0.4$ and the third number $\sqrt{8}$ are clearly greater than $0$.

• $0.4\textrm{ }\geq0\textrm{ },\textrm{ }\sqrt{8}\textrm{ }\geq\textrm{ }0$

It can be inferred that $0.4\textrm{ }\leq \textrm{ }1$.

While, $\sqrt{8}$ values to about $2.828$.

• $\sqrt{8}\textrm{ }=\textrm{ }2.828\textrm{ }\geq\textrm{ }0.4$

∴  $\textrm{ }-4.83333333\textrm{ }\leq \textrm{ }0.4\textrm{ }\leq \textrm{ }\sqrt{8}$

Hence the increasing order.