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Simplify the following:

[tex]\[ -|-8.1| \][/tex]

Justify your answer:


Sagot :

To simplify the expression [tex]\(-| -8.1 | \)[/tex], let's break it down into steps:

1. Identify the Absolute Value:
The absolute value of a number is its distance from 0 on the number line, regardless of direction. Basically, it removes any negative sign. For the number [tex]\(-8.1\)[/tex]:
[tex]\[ | -8.1 | = 8.1 \][/tex]

2. Apply the Negative Sign:
Now, we need to apply the outer negative sign to the absolute value we just calculated:
[tex]\[ -| -8.1 | = - (8.1) \][/tex]

Therefore, the expression simplifies to:
[tex]\[ -|-8.1| = -8.1 \][/tex]
So, the simplified result is [tex]\(-8.1\)[/tex].