Which of the following describes the quotient of 5 and -45?

Question

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.