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1/infinity?

* * * * *

Nice idea but unfortunately that is not a rational number, which is defined as the ration of two integers, x/y where y > 0. Since infinity is not an integer, the suggested ratio is not a rational number.

The correct answer is that there is no such number. If any number laid claim to being the smallest positive rational, then half of that number would have a better claim. And then a half of THAT number would be a positive rational that was smaller still. And so on.

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Q: Is there a smallest positive rational number?
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Related questions

Is 0 is the smallest rational number?

It is the smallest non-negative rational number. Negative numbers are rational and are smaller.


What is the negative of a negative rational number?

It is the positive value of that rational number.


What is greater a negative or positive rational number?

A positive rational number.


Every positive rational number and its negative pair?

Every positive rational number and its negative are the two square roots of the same positive rational number.


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Positive numbers can be either rational or irrational.


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Any positive rational number.


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How can you know if a negative number is a rational number or not?

If its positive version is rational then it is rational and if not, it is not.


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There is no simple answer:Zero is smaller than any positive number.Zero can be larger or smaller than a rational number.A rational number can be larger or smaller than a positive number.


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Any positive number is always bigger than a negative number - whether they are rational or irrational.


Is a rational number the same as an integer?

no. an integer is a whole, positive number, a rational number can be positive, negative, or a fraction


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