Question

Order the set of numbers from least to greatest


`- 4.83333333 \\ 0.4 \\ √(8)`
​

Answer 1

`-4.83333333\textrm{ },\textrm{ }0.4\textrm{ },\textrm{ }√(8)`

Explanation:

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

• 
  `-4.83333333` ≤
  `0`

The second number
`0.4` and the third number
`√(8)` are clearly greater than
`0`.

• 
  `0.4\textrm{ }\geq0\textrm{ },\textrm{ }√(8)\textrm{ }\geq\textrm{ }0`

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

While,
`√(8)` values to about
`2.828`.

• 
  `√(8)\textrm{ }=\textrm{ }2.828\textrm{ }\geq\textrm{ }0.4`

∴
`\textrm{ }-4.83333333\textrm{ }\leq \textrm{ }0.4\textrm{ }\leq \textrm{ }√(8)`

Hence the increasing order.