Question

Which of the following describes the quotient of 4 and -48?
A.
The quotient is a rational number.
B.
The quotient is undefined.
C.
The quotient is an irrational number.
D.
The quotient is an integer.

Answer 1

To find the quotient of 4 and -48, we can perform the division:

\[
\frac{4}{-48} = -\frac{1}{12}
\]

Now, let's evaluate the options based on this quotient:

A. The quotient is a rational number.
- This statement is true because \(-\frac{1}{12}\) can be expressed as a fraction.

B. The quotient is undefined.
- This statement is false because division by a non-zero number (in this case, -48) is defined.

C. The quotient is an irrational number.
- This statement is false since -\(\frac{1}{12}\) is a rational number.

D. The quotient is an integer.
- This statement is false as well because -\(\frac{1}{12}\) is not an integer.

Therefore, the correct answer is:
**A. The quotient is a rational number.**