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Earn +20 ptsQ: Why is the quotient of two integers always a rational number?
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What is a quotient of two integers that is always a rational number?
It is an incomplete definition of 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 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.
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