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Q: How do you identify the opposite of the absolute value of a rational number?

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how do you identify opposite and absolute value of a rational number

It would be a positive or negative number

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.

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.

The answer depends on whether the "opposite" means the multiplicative inverse or the additive inverse.

I would do it that way.

All absolute values are positive.

Because absolute value is always positive.

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.

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.

The absolute value of a positive number is the number itself. The absolute value of a negative number is the number's opposite (additive inverse).

Yes! When the number is negative, the absolute value of it'll be its opposite.

3.7

Absolute value is always the opposite of the number.

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.

When the numbers are negative

A rational number can be expressed as a fraction whereas an irrational number can't be expressed as a fraction.