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Can the conditional statement be written as a biconditional statement?
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.
What number will produce a rational number when multiplied by 0.5?
Any and every rational number.
What best describes a number which results from dividing a rational number by zero?
You can't divide by zero.
Which statement is true Converting an integer to a fraction shows whether it is rational A negative fraction is never rational An integer numerator over a zero denominator is never rational?
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.
Is a rational number always a rational number?
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.
