Question

Order from least to greatest

Answer 1

The order from the least to the greatest is
`-(26)/(5)`,
`-5 . \overline{17}`,
`√(33)`, and
`(37)/(6)`.

Explanation:

Step 1:

We must determine each of the individual values to be able to arrange the given numbers.

`(37)/(6) = 6.166666,`

`-5 . \overline{17}` means that so 1 and 7 in the decimal keep repeating so,

`-5 . \overline{17} = -5.17171717.`

`√(33) = 33^{(1)/(2) } = 5.7445,` and

`-(26)/(5) = -5.2.`

Now that we have all the four values, we can arrange them in ascending order.

Step 2:

There are two negative numbers, the greater a negative number the lesser it is i.e.
`-6 < -5.`

So the least value is
`-(26)/(5)` which is followed by
`-5 . \overline{17}`.

The other two are positive numbers. As
`5.7445 > 6.1666` so the highest number is
`(37)/(6)`.

So the order from the least to the greatest is
`-(26)/(5)`,
`-5 . \overline{17}`,
`√(33)`, and
`(37)/(6)`.