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.

1 answer

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.

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