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Why is the quotient of two integers always a rational number?
Probably because that's more or less the definition of "rational number": a number that can be expressed as a ratio of integers.
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 every rational number a real number true or false?
Yes. Rational numbers are always the quotient of two integers. Integers are always real, and you cannot divide a real number by another real number and get an imaginary number. So, true.
Is the quotient of two nonzero integers a rational number?
Yes.
A number that can be express as a quotient of two integers are called?
They are called a rational number.
Why is the quotient of two integers always a rational number?
Probably because that's more or less the definition of "rational number": a number that can be expressed as a ratio of integers.
What the number that can be written as a quotient of integers?
It is a rational number.
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 integers is always a rational number (provided the denominator is non-zero)?
Yes it is. That is the definition of rational numebrs.
What is any number that can be written as the quotient of integers?
a rational number
What is a number written as quotient of two integers where the denominator is not zero?
A rational number
Is every rational number a real number true or false?
Yes. Rational numbers are always the quotient of two integers. Integers are always real, and you cannot divide a real number by another real number and get an imaginary number. So, true.
Is a rational number a real number?
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.
Is the quotient of two nonzero integers a rational number?
Yes.
What is a number written as a quotient of two integers where denominator its not 0?
It is a rational number.
What is the number written as quotient of two integers where denominator is not zero?
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.
