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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

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Daphnee Stark

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1y ago
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8y ago

It would be a positive or negative number

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6y ago

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.

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6y ago

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.

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Q: How do you identify the opposite and the absolute values of a rational numbers?
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Related questions

How do you identify opposites and absolute value of rational numbers?

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


What is a rational number whose opposite and absolute value are the same?

They are all non-positive rational numbers.


How do you identify absolute value of 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.


What is the opposite of a rational number?

Within the set of rational numbers, positives and negatives are considered opposite.


When are th absolute value and the opposites of a rational number equal?

When the numbers are negative


What is the opposite of the absolute value of 8?

The additive opposite is negative 8 (-8). Absolute values are always positive numbers.


Can't two different rational numbers have the same absolute value?

Yes, they can. If x is a non-zero rational number then x and -x will have the same absolute value.


Can two different rational numbers can have three same absolute value?

No, they cannot.


What is the relationship between opposite rational numbers?

The answer depends on whether you mean additive opposite or multiplicative opposite. Assuming the former, the sum of the two numbers is zero.


Are all irrational numbers rational numbers?

No. In fact, a number cannot be both rational and irrational; they're mutually exclusive concepts.


Does the set of rational numbers have an additives identify?

Yes. The additive identity is 0.


What is the sum of the different numbers that have the same absolute value?

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.