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Only if the negative sign is associated with an even root. In that case, the number is neither rational nor irrational, but is imaginary.
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.
No, it is always true.
Yes, since it can be written as a ratio of two integers: 19/5
That is not true.
No, it is not true.
No, that is not true.
sometimes true (when the rational numbers are the same)
TRUE
Only if the negative sign is associated with an even root. In that case, the number is neither rational nor irrational, but is imaginary.
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.
It will be rational.
No, it is always true
No, it is always true
No, it is always true.
No if its negative it lowers its absolute value.
Adding two negative numbers will always be negative. Subtracting two negative numbers may be positive or negative. Dividing or multiplying two negative numbers will always be positive.No