Answer :

To order these numbers from least to greatest, let's first look at each value individually:

1. [tex]\(-0 . \overline{6}\)[/tex] is a repeating decimal that repeats the digit 6, which can be rounded to approximately [tex]\(-0.67\)[/tex].

2. [tex]\(\sqrt{14}\)[/tex] is the square root of 14. This is an irrational number and is approximately equal to 3.7417.

3. [tex]\(-\frac{34}{50}\)[/tex] simplifies to [tex]\(-0.68\)[/tex].

4. 3.85 is a straightforward decimal number.

Now, let's compare these values:

- The smallest value is [tex]\(-0.68\)[/tex].
- Next, we have [tex]\(-0.67\)[/tex], which is represented by [tex]\(-0 . \overline{6}\)[/tex].
- Then, we have [tex]\(\sqrt{14}\)[/tex] which is approximately 3.7417.
- The largest value is 3.85.

So, when we order these numbers from least to greatest, we get:
[tex]\[
-\frac{34}{50}, -0 . \overline{6}, \sqrt{14}, 3.85
\][/tex]

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