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Q: Is 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

Yes.

Yes.

rational number

Yes.

Yes.

Yes.

Yes.

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

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.

The average of the two will be rational and it will be between them.

Yes.

Yes.

Yes, it is.

No, one half which is 1/2 is not a integer. Its a rational number.

One-half is rational because it can be expressed as a quotient of two integers (one divided by two).

The number -1/2 is a rational number, a negative integer divided by a positive integer.

The are an infinite number of rational numbers that are not integers, because a rational number is a number that is written as a ratio of two integers. For examble, 1/2 (i.e. a half) is a non-integer rational number. This form is generally called a fraction.

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.

No. It can be written as a fraction, so it is rational.