The absolute value is always positive.
When the number is 0.
The answer depends on whether the "opposite" means the multiplicative inverse or the additive inverse.
The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.The product will be a rational number whose absolute value is bigger than the absolute value of the whole number.
Because absolute value is always positive.
how do you identify opposite and absolute value of a rational number
how do you identify opposite and absolute value of a rational number
The absolute value is always positive.
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.
It is the number with the same magnitude (absolute value) and the opposite sign.
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.
I would do it that way.
The answer depends on whether the "opposite" means the multiplicative inverse or the additive inverse.