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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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โˆ™ 2015-06-09 10:48:03
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โˆ™ 2015-03-15 11:16:09

The answer depends on what you mean by "opposite". The additive inverse of any rational number must be rational. The multiplicative inverse of a rational number is rational only if the number is non-zero. If it is zero, its "opposite" is not defined.

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

How do you identity the opposite and the absolute value of a rational number?

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?

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

Must a rational number be rational?

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

What number can you divide a rational number to get a number that is twice the opposite of the rational number?

You would need to divide by -1/2.

Must the difference between two rational be a rational number?

Yes, it must.

What is the opposite of a nonzero rational number?

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

When are the absolute value and the opposite of rational number equal?

When the number is 0.

Can a whole number be rational?

Yes. In fact, it MUST BE rational.

Which number can be multiplied to a rational number to explain that the product of two rational numbers is 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.

What is the additive inverse of a rational number?

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

How do you identify the opposite number and the absolute value of a rational 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.

The mode of a list of rational numbers must be a rational number?


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