The quotient of two nonzero integers is the definition of a rational number. There are nonzero numbers other than integers (imaginary, rational non-integers) that the quotient of would not be a rational number.
If the two nonzero numbers are rational themselves, then the quotient will be rational. (For example, 4 divided by 2 is 2: all of those numbers are rational).
Yes.
The definition of a rational number is the quotient of any two nonzero integers.
Because that is how a rational number is defined!
Yes, always. That is the definition of a rational number.
Yes.
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.
Yes.
The definition of a rational number is the quotient of any two nonzero integers.
Because that is how a rational number is defined!
Because that is how a rational number is defined!
Yes, always. That is the definition of a rational number.
Yes, it is.
Yes.
Yes, by definition.
I had this name question for homework :| no
If a number can be expressed as the quotient of two numbers (a ÷ b) and b is not zero, then it is a rational number.
Every number can be written as a quotient.Every rational number can be written as a quotient of whole numbers.