Question

Which of the following describes the quotient of 5 and -45?
A. The quotient is an integer.
B. The quotient is a rational number.
C. The quotient is an irrational number.
D. The quotient is undefined.

Answer 1

To find the quotient of 5 and -45, you perform the division:

\[
\frac{5}{-45} = -\frac{1}{9}
\]

Now let's analyze the options:

A. The quotient is an integer.
- This is false because \(-\frac{1}{9}\) is not an integer.

B. The quotient is a rational number.
- This is true because \(-\frac{1}{9}\) can be expressed as a fraction of two integers.

C. The quotient is an irrational number.
- This is false because \(-\frac{1}{9}\) is not irrational.

D. The quotient is undefined.
- This is false because division by a non-zero number is defined.

Thus, the correct answer is:

**B. The quotient is a rational number.**