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What is a number written as a quotient of two integers where denominator its not 0?
It is a rational number.
What the number that can be written as a quotient of integers?
It is a rational number.
What is any number that can be written as a quotient of two integers called?
a rational number
Is the quotient of two integers is always a rational number (provided the denominator is non-zero)?
Yes it is. That is the definition of rational numebrs.
Can a number be both rational and irrational?
No.The definition of a rational number is a number that can be written as the quotient of two integers (and the divisor is not zero).The definition of an irrational number is a real number that cannot be written as the quotient of two integers (and the divisor is not zero).A number can either be written as the quotient of two integers or it can't. One or the other.A number cannot be both rational and irrational.
What is a number written as a quotient of two integers where denominator is not 0?
Rational
What is a number written as quotient of two integers where denominator is zero?
A quotient of two numbers cannot have a denominator which is zero: such a fraction is not defined.
What is a number written as a quotient of two integers where denominator is not zero?
It is a rational fraction.
Number written as a quotient of two integers where denominator is not 0?
It is a rational fraction.
What is a number written as quotient of two integers where the denominator is not zero?
A rational number
What is a number written as a quotient of two integers where denominator its not 0?
It is a rational number.
What the number that can be written as a quotient of integers?
It is a rational number.
What is any number that can be written as the quotient of integers?
a rational number
What is a number that cannot be written as a quotient of two integers?
Pi
What is any number that can be written as a quotient of two integers called?
a rational number
What number is both rational and irrational?
None. A rational number is a number that can be written as the quotient of two integers where the divisor is not zero. An irrational number is a real number that cannot be written as the quotient of two integers where the divisor is not zero. Any given real number either can or cannot be written as the quotient of two integers. If it can, it is rational. If it cannot, it is irrational. You can't be both at the same time. The square root of -1 is not a real number and it cannot be written as the quotient of two integers, so it is neither rational nor irrational.
If the quotient of two numbers is an integer then both number must be integers?
No, it is not necessary for both numbers to be integers for their quotient to be an integer. For example, if you divide a rational number by another rational number that shares a common factor, the result can still be an integer. For instance, ( \frac{4.0}{2.0} = 2 ), where both numbers are not integers but the quotient is an integer. However, if both numbers are integers, their quotient will also be an integer if the numerator is divisible by the denominator.
