To solve the problem, we need to compare the values of two expressions: [tex]\(|-5|\)[/tex] and [tex]\(-|-5|\)[/tex]. Let’s break this down step-by-step.
1. Evaluate [tex]\(|-5|\)[/tex]:
- The absolute value of a number is its distance from zero on the number line, without considering direction.
- For [tex]\(-5\)[/tex], the absolute value is calculated as follows:
[tex]\[
|-5| = 5
\][/tex]
2. Evaluate [tex]\(-|-5|\)[/tex]:
- First, find the absolute value of [tex]\(-5\)[/tex], which we already determined to be [tex]\(5\)[/tex].
- Then, take the negative of this absolute value:
[tex]\[
-|-5| = -5
\][/tex]
3. Compare the two values:
- We now have [tex]\(|-5| = 5\)[/tex] and [tex]\(-|-5| = -5\)[/tex].
- Clearly, [tex]\(5\)[/tex] is greater than [tex]\(-5\)[/tex].
Therefore, the correct inequality is:
[tex]\[
5 > -5
\][/tex]
Hence, the correct symbol to order the numbers is:
\[>|
