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Q: How do you show the number -4 is rational by writing it as a quotient of two integers?

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It is a rational number.

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).

It is an incomplete definition of a rational number.

Quotient of integers means dividing integers, so it is a fraction or a rational number all depending on how you look at it.

A rational number

Yes.

a rational number

They are called a rational number.

It is a rational number.

It is a rational number.

rational number

Rational

It is a negative rational number.

It is a rational number.

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.

If a number can be expressed as the quotient of two numbers (a Ã· b) and b is not zero, then it is 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.

The definition of a rational number is the quotient of any two nonzero integers.

Yes. A rational number is a number that can be expressed as the quotient of two integers, the divisor not being zero. Since the divisor of an integer is 1, then all integers are rational.

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.

Rational nunber

It is a rational fraction.

It is a rational fraction.

Yes. The quotient of two non-zero integers is a rational number.