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Sagot :
To solve the problem of determining the opposite of [tex]\(|-17|\)[/tex], let's go through the steps systematically:
1. Find the Absolute Value:
The absolute value of a number is its distance from 0 on the number line, regardless of direction. In other words, it is always a non-negative number.
[tex]\[ |-17| = 17 \][/tex]
2. Determine the Opposite:
The opposite of a number [tex]\(x\)[/tex] is [tex]\(-x\)[/tex]. For instance, the opposite of 5 is [tex]\(-5\)[/tex] and the opposite of [tex]\(-3\)[/tex] is 3.
In our case, we need to find the opposite of the absolute value calculated:
[tex]\[ \text{Opposite of } 17 = -17 \][/tex]
Thus, the opposite of [tex]\(\left| -17 \right|\)[/tex] is [tex]\(-17\)[/tex]. Hence, the correct answer is:
[tex]\[ \boxed{-17} \][/tex]
1. Find the Absolute Value:
The absolute value of a number is its distance from 0 on the number line, regardless of direction. In other words, it is always a non-negative number.
[tex]\[ |-17| = 17 \][/tex]
2. Determine the Opposite:
The opposite of a number [tex]\(x\)[/tex] is [tex]\(-x\)[/tex]. For instance, the opposite of 5 is [tex]\(-5\)[/tex] and the opposite of [tex]\(-3\)[/tex] is 3.
In our case, we need to find the opposite of the absolute value calculated:
[tex]\[ \text{Opposite of } 17 = -17 \][/tex]
Thus, the opposite of [tex]\(\left| -17 \right|\)[/tex] is [tex]\(-17\)[/tex]. Hence, the correct answer is:
[tex]\[ \boxed{-17} \][/tex]
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