When the number is non-positive.
I would do it that way.
X and Y have the same absolute value because the opposite of a number doesn't change its distance from zero. The absolute value of a number represents its distance from zero on the number line, and since X and Y are opposites, they have the same distance from zero.
The absolute value of a number is always positive or zero, while its opposite is always negative or zero. The relationship between the absolute value of a number and its opposite is that they have the same numerical value but opposite signs. For example, the absolute value of -5 is 5, and the opposite of 5 is -5.
Yes it is and the absolute value is always a positive number. if it was the absolute number then the opposite, then its always a negative number. I learned this and im in the sixth grade advanced classes. * * * * * The absolute value need not always be positive - it can be 0. The absolute value need not be an integer. Rational and irrational fractions are perfectly valid.
how do you identify opposite and absolute value of a rational number
The opposite of the absolute value of x is always -abs(x).
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.
When the number is 0.
The absolute value is always 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
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.
That is how absolute values are defined.
The answer depends on whether the "opposite" means the multiplicative inverse or the additive inverse.
I would do it that way.