Let's carefully analyze and interpret the problem step-by-step.
### Step-by-Step Solution:
1. Understanding the Expressions:
- We have two mathematical expressions:
- [tex]\(-\sqrt{2}\)[/tex]
- [tex]\(\frac{-1}{2}\)[/tex]
2. Evaluating [tex]\(-\sqrt{2}\)[/tex]:
- To solve [tex]\(-\sqrt{2}\)[/tex], we first compute the square root of 2.
- The square root of 2 ([tex]\(\sqrt{2}\)[/tex]) is approximately [tex]\(1.4142135623730951\)[/tex].
- Since it is accompanied by a negative sign, [tex]\(-\sqrt{2} = -1.4142135623730951\)[/tex].
3. Evaluating [tex]\(\frac{-1}{2}\)[/tex]:
- The fraction [tex]\(\frac{-1}{2}\)[/tex] is already in its simplest form.
- Converting [tex]\(\frac{-1}{2}\)[/tex] to a decimal gives us [tex]\(-0.5\)[/tex].
### Numerical Results:
- [tex]\(-\sqrt{2}\)[/tex] evaluates to approximately [tex]\(-1.4142135623730951\)[/tex].
- [tex]\(\frac{-1}{2}\)[/tex] evaluates to [tex]\(-0.5\)[/tex].
### Conclusion:
Thus, the numerical evaluations of the given expressions are:
- [tex]\(\boxed{-1.4142135623730951}\)[/tex] for [tex]\(-\sqrt{2}\)[/tex].
- [tex]\(\boxed{-0.5}\)[/tex] for [tex]\(\frac{-1}{2}\)[/tex].
