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Q: Is a half a rational number?

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Rational: yes. Natural: no.

yes

5 = 5/1 is a rational number

As a number which can be expressed as a fraction, 1/2 is a rational number.

No, it cannot. The product of a rational and irrational is always irrational. And half a number is equivalent to multiplication by 0.5

Yes, -1/2 is a rational number

rational number

Yes.

There is no such number. If any number laid claim to being the smallest rational number its claim could be challenged by half that number - which would also be rational and, obviously smaller. And the claim of that number could be challenged by half that number, and so on.

I am rational, but not a number. This statement is therefore half correct.

Yes.

Yes.

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