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No. A rational number is one that may be represented as a simple multiple, or a division. Such as one times seven, or three times seven; OR one divided by seven, or three divided by seven. Or similar.

A rational number, if a fraction, when multiplied by the divisor of the fraction, will give a simple whole number. e.g. 7/5, when multiplied by 5 becomes the whole number 7.

An irrational number is one that cannot be formed by a simple ratio, or a simple division. e and pi are a couple of common Irrational Numbers. [irrational demonstrates where the name comes from.]

No number can be found which will convert them, by multiplication, into a whole number.

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Q: Must the opposite of a rational number be a rational number?

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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.

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

Yes, if it wasn't it wouldn't be a rational number.

You would need to divide by -1/2.

Yes, it must.

The answer depends on whether you mean an additive opposite or a multiplicative opposite.

When the number is 0.

Yes. In fact, it MUST BE rational.

It must be a generalised rational number. Otherwise, if you select a rational number to multiply, then you will only prove it for that number.

It is the number with the same magnitude (absolute value) and the opposite sign.

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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