# The absolute value of a number is equal to the absoolute value of its opposite.

Trent Carpenter 2020-12-22 Answered
The absolute value of a number is equal to the absoolute value of its opposite.
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Liyana Mansell
Calculation:
Given: The absolute value of a number is equal to the absolute value of its opposite.
Absolute value describes the distance of a number on the number line from 0 without considering which direction from zero the number lies. The absolute value of a number is never negative. The absolute number of a number ais written as $|a|$. The symbol $|a|$ is used to indicate the absolute value of a. $|a|$ is a, If ais positive. $|-a|$ is a, if ais negative.
The equation $|x|$ = a has two solutions $x=a$ and $x=—a$ because both numbers are at the distance a from 0.
1, A number and the opposite of the number always have the same absolute value.
2. In general, taking the opposite of n changes the sign of n.
For example, the opposite of 3 is -3.
3. In general, taking the absolute value of n gives a number $|n|$, which is always positive. For example, $|3|=3$ and $|-3|=3$.
4, Since the opposite of 0 is 0 (which is neither positive nor negative), therefore -0 = 0. The number 0 is the only number which is its own opposite.
Conclusion:
The statement is true.