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Find the opposite of [tex]$|-4|$[/tex].

The solution is __________.


Sagot :

To find the opposite of [tex]\( |-4| \)[/tex], we need to follow these steps:

1. Determine the absolute value of [tex]\(-4\)[/tex]:
- The absolute value of a number is its distance from zero on the number line, without considering direction. Therefore, the absolute value of [tex]\(-4\)[/tex] is [tex]\(4\)[/tex].

2. Find the opposite of the absolute value:
- The opposite (or additive inverse) of a number is the number that, when added to the original number, results in zero. For the absolute value [tex]\(4\)[/tex], the opposite is [tex]\(-4\)[/tex].

So, by following these steps, we find that the opposite of [tex]\( |-4| \)[/tex] is [tex]\(-4\)[/tex].

Thus, the solution gives us:
- Absolute value of [tex]\(-4\)[/tex] is [tex]\(4\)[/tex].
- Opposite of this absolute value is [tex]\(-4\)[/tex].

In conclusion, the opposite of [tex]\( |-4| \)[/tex] is [tex]\(-4\)[/tex].