Question

Is the following statement always true, sometimes true, or never true? Justify your answer.

The quotient of any nonzero integers, a and b, is always a rational number.

Answer 1

Answer:

The quotient of any nonzero integers, a and b, is always a rational number.

Step-by-step explanation:

We know that a rational number is any number that can be written in the

form of $\frac{p}{q}$ , where q is not equal to zero.

• p/q is basically the quotient of integers (non-zero).

p and q integers mean they are rational number. As the quotient is generated by the division of these two numbers, and q is not equal to zero.

• As q can be equal to 1, so every integer is a rational number.

Therefore, the quotient of any nonzero integers, a and b, is always a rational number.