Question

Which is always true about the quotient of two integers, x and y, expressed as x/y

Answer 1

The truth about the quotient of two integers, x and y, expressed as x/y is that when y is not equal to zero then the quotient of two integers, x and y is a rational number.

• A rational number is a number of the form x/y, where x and y are both integers, and y ≠ 0.
• Note that by the definition of a rational number, a rational number is a quotient of two integers, x and y. Still, we have the restriction that the denominator of a rational number cannot be equal to 0.
• As we know 0 is an integer, it is false to say that a rational number is a quotient of any two integers, because the divisor of the quotient that is a rational number cannot have the integer 0.
• But it is true to say that a rational number is a quotient of any two integers except when the denominator is equal to zero.

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