I am rational, but not a number. This statement is therefore half correct.
No, because the reverse statement may not result in a true statement.(A) If x is an integer then x*x is rational.(B) if x*x is rational then x is an integer.(B) is utter nonsense. x can be any rational number of even a square root of a rational number, for example, sqrt(2/3), and x*x will be rational.
Any and every rational number.
You can't divide by zero.
Statement 1 is true but totally unnecessary. As integer is always a rational and you do not need to convert it to a fraction to determine whether or not it is rational. A negative fraction is can be rational or irrational. The fact that it is negative is irrelevant to its rationality. An integer number over a zero denominator is not defined and so cannot be rational or irrational or anything. It just isn't.
As much as, in these days of uncertainty, anything can be anything. As long as the constraints of a rational number are kept to, a rational number will always remain a rational number.
rational
No, because the reverse statement may not result in a true statement.(A) If x is an integer then x*x is rational.(B) if x*x is rational then x is an integer.(B) is utter nonsense. x can be any rational number of even a square root of a rational number, for example, sqrt(2/3), and x*x will be rational.
Any and every rational number.
Integers are counting numbers or include them. 1/2 is a rational number that is not a couinting number.
You can't divide by zero.
A positive real number. It can be irrational or rational, even integer.
A positive real number. It can be irrational or rational, even integer.
If the decimal expansion of a number either repeats or terminates, it's rational. I'm not quite sure how to mangle that statement to make it fit into your sentence, but you should do at least SOME of your homework yourself anyway.
It is a rational number. It can be written as a fraction.
Close. But to make that statement correct, three letters must be deleted:Every natural number is a[n ir]rational number.
It is a rational number because it can be expressed as a fraction in the form of 9/10
yes