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.
A rational number is always the result of dividing an integer when the divisor is nonzero.
Yes, a rational number is a real number. A rational number is a number that can be written as the quotient of two integers, a/b, where b does not equal 0. Integers are real numbers. The quotient of two real numbers is always a real number. The terms "rational" and "irrational" apply to the real numbers. There is no corresponding concept for any other types of numbers.
A real number is any number so yes it is always a real number * * * * * Except if the second number is 0, in which case the quotient is not defined.
The product of an irrational number and a rational number, both nonzero, is always irrational
All integers are rational numbers, but not all rational numbers are integers.2/1 = 2 is an integer1/2 is not an integerRational numbers are sometimesintegers.
No.
Yes, always. That is the definition of a rational number.
Yes, it is.
Yes.
Because that is how a rational number is defined!
Because that is how a rational number is defined!
The quotient of a nonzero rational number and an irrational number is always an irrational number. This is because dividing a rational number (which can be expressed as a fraction of integers) by an irrational number cannot result in a fraction that can be simplified to a rational form. Therefore, the result remains outside the realm of rational numbers.
Yes, by definition.
I had this name question for homework :| no
yes
Not if the second rational number is 0: in that case the quotient is not defined. Otherwise the answer is yes.
Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)