Usually not.
No.
Select any non-zero integer D and let N = -173*D.Then the quotient N/D = -173*D/D = -173.
Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.
An integer is any whole number.
Yes.An integer is any whole number ...-3, -2, -1, 0, 1, 2, 3...There are positive integers, zero and negative integers. 1.5 or 1/2, etc. are NOT integers as they are not whole.
For any two nonzero integers, the product and quotient will have the same sign because both operations depend on the signs of the integers involved. If both integers are positive or both are negative, their product is positive and their quotient is also positive. Conversely, if one integer is positive and the other is negative, their product is negative and their quotient is also negative. Thus, in both cases, the product and quotient share the same sign.
The definition of a rational number is the quotient of any two nonzero integers.
Any integer divided by a non-zero integer is rational.
That is because that is how the product and quotient are defined.
True.
Yes, it is.
yes
No.
It follows from the definitions of the two operations.
It is true, and it follows from the definition of multiplication and division.
1 is the least common factor of any set of positive integers because 1 is a factor of all nonzero integers and 1 is the smallest positive integer.
No. The second integer MUST be non-zero.