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) = 5/7
and abs(-5/7) = 5/7
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.
The opposite of any rational number, q is -q. Then if q >= 0 , its opposite and absolute value are both q.If q < 0 then -q > 0 and the opposite and absolute value are both -q.
how do you identify opposite and absolute value of a rational number
They are all non-positive rational numbers.
The absolute value of a number may be thought of as its distance from zero. In mathematics, the absolute value of a real number x is the non-negative value of x without regard to its sign.
Within the set of rational numbers, positives and negatives are considered opposite.
When the numbers are negative
The additive opposite is negative 8 (-8). Absolute values are always positive numbers.
Yes, they can. If x is a non-zero rational number then x and -x will have the same absolute value.
No, they cannot.
The answer depends on whether you mean additive opposite or multiplicative opposite. Assuming the former, the sum of the two numbers is zero.
No. In fact, a number cannot be both rational and irrational; they're mutually exclusive concepts.
Yes. The additive identity is 0.
If 2 numbers are different, but have the same absolute value, then one is the opposite of the other. Any number plus its opposite equals zero.