how do you identify opposite and absolute value of a rational number
The opposite of the absolute value of x is always -abs(x).
It would be a positive or negative number
Suppose x is a rational number -x is the [additive] opposite of x.If x < 0 then -x > 0 so that the absolute value is -x (if x is negative then -x is positive).if x >= 0 then the absolute value is x.
When the number is 0.
The additive opposite of the rational number q is -q. One of q and -q must be non-negative and that is its absolute value.
The absolute value is always positive.
It is the number with the same magnitude (absolute value) and the opposite sign.
They are all non-positive rational numbers.
When the number is non-positive.
An "opposite" is not a well defined term since there are additive opposites and multiplicative opposites and you have not specified which one.The absolute value of a rational number is the value of the number with a positive sign.Thus (abs(5/7) = 5/7and abs(-5/7) = 5/7
That is how absolute values are defined.