Two different numbers can have the same absolute value if one number is the negative of the other. If a number is written in the absolute form, both values must be considered.
\The absolute value of a number is the integer or digit by itself, with no signs to indicate if it is positive or negative, or where it lies on a number line, other than the value of the integer.
In this example, if we have a value of
Changing the sign has moved the integer from the positive
In both cases, the absolute value has not changed, it is still
The absolute value of
They show the number lines here: