Answer
![-9.34,-\sqrt[]{86},0.\bar{1},(3)/(25)](https://img.qammunity.org/2023/formulas/mathematics/college/8d75h6vm1uqgbvhjowg3r4bmnaf9niq3x3.png)
Step-by-step explanation
Problem Statement
The question asks us to arrange the following numbers from least to greatest.
![(3)/(25),-9.34,0.\bar{1},-\sqrt[]{86}](https://img.qammunity.org/2023/formulas/mathematics/college/uxs9tx20fxw3fic35tq2ngfl91fzga70u1.png)
Solution
To solve this question, we simply need to punch the values into the calculator
![\begin{gathered} (3)/(25)=0.12 \\ -9.34 \\ 0.\bar{1}=0.111\ldots \\ -\sqrt[]{86}=-9.2736\ldots \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/g4tsqjcjil1h8knu4ja094a33iuwd1bnsk.png)
From the above, we can easily re-arrange the values from smallest to greatest as follows:
![-9.34,-\sqrt[]{86},0.\bar{1},(3)/(25)](https://img.qammunity.org/2023/formulas/mathematics/college/8d75h6vm1uqgbvhjowg3r4bmnaf9niq3x3.png)