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Is the quotient of two nonzero numbers never a rational number?
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).
Is the quotient of two nonzero integers a rational number?
Yes.
What describes the quotient of a nonzero rational number and an irrational number?
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.
Is -2pi rational or irrational?
-2π is an irrational number. While -2 is a rational number, π (pi) is known to be irrational, meaning it cannot be expressed as a fraction of two integers. The product of a nonzero rational number and an irrational number is always irrational, so -2π remains irrational.
What are examples of integers that is a rational number?
All integers are rational numbers.
Is the quotient of two nonzero numbers never a rational number?
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).
Is the quotient of two nonzero integers a rational number?
Yes.
What describes the quotient of a nonzero rational number and an irrational number?
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.
Why the product of nonzero rational number and a rational number is an irrational?
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)
Is 0.875 a rational number?
yes, as it can be expressed as the quotient of two (nonzero) integers (for example, 875 divided by 1000)
Is the multiplicative inverse of any nonzero rational number is a rational number?
of course
Is the quotient of two nonzero numbers always a rational number?
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.
Is the product of a nonzero rational number and an irrational number rational or irrational?
It is always irrational.
Is -2pi rational or irrational?
-2π is an irrational number. While -2 is a rational number, π (pi) is known to be irrational, meaning it cannot be expressed as a fraction of two integers. The product of a nonzero rational number and an irrational number is always irrational, so -2π remains irrational.
What are examples of integers that is a rational number?
All integers are rational numbers.
What is product of a nonzero rational number and irrational number is?
It is irrational.
Are all negative rational numbers integers?
No, they are not because fractions can be negative also. fractions aren't integers
