Question

Place the number is an order from smallest to largest
`-3.95,\text{ -3.2, -3}(1)/(4),\text{ -3}(6)/(7),\text{ }\sqrt[]{15,}\text{ -}(17)/(4)`

Answer 1

Given the numbers:

`-3.95,\text{ -3.2, -3}(1)/(4),\text{ -3}(6)/(7),\text{ -}\sqrt[]{15,}\text{ -}(17)/(4)`

To arrange this numbers from the smallest to the largest, let's convert all the numbers to decimals.

`-3.95=\Longrightarrow\text{ is already in decimal form}`
`-3.2\text{ =}\Longrightarrow\text{ is already in decimal form}`
`-3(1)/(4)=\text{ -}3.25`
`-3(6)/(7)=\text{ -3.}86`
`-\sqrt[]{15}\text{ = }-3.873`
`-(17)/(4)=-4.25`

Now, we have all the numbers as decimals.

Arranging them from smallest to largest (ascending order), we have:

-4.25

-3.95

-3.87

-3.86

-3.25

-3.2

Thus, we have:

ANSWER:

`\begin{gathered} -(17)/(4) \\ \\ -3.95 \\ \\ -\sqrt[]{15} \\ \\ -3(6)/(7) \\ \\ -3(1)/(4) \\ \\ -3.2 \end{gathered}`