Compare Absolute Values: Are -|3 + 5| and |-8| Opposites?

Let's solve the problem by evaluating the given expressions and checking if they are opposites:

• First, evaluate $-\left|3 + 5\right|$:
• Calculate $3 + 5$: $3 + 5 = 8$.
• Find $\left|8\right|$: $\left|8\right| = 8$.
• Evaluate $-\left|8\right|$: $-\left|8\right| = -8$.
• Next, evaluate $\left|-8\right|$:
• Since $-8$ is negative, $\left|-8\right| = 8$.
• Compare the results: $-8$ and $8$ are indeed opposites as $-8 = -1 \times 8$.

Therefore, the expressions $-\left|3 + 5\right|$ and $\left|-8\right|$ are not opposites according to standard mathematical convention.

No