Which of the following describes the quotient of 3 and -33?

Question

O A. The quotient is undefined.
O B. The quotient is a rational number.
O C.
The quotient is an irrational number.
O D. The quotient is an integer.

Answer 1

To find the quotient of 3 and -33, we divide 3 by -33:

\[ \frac{3}{-33} = -\frac{1}{11} \]

Now, let's analyze this result:

• Undefined: This does not apply here as we can divide 3 by -33.
• Rational number: \(-\frac{1}{11}\) is indeed a rational number because it can be expressed as a fraction of two integers (where the denominator is not zero).
• Irrational number: This does not apply as \(-\frac{1}{11}\) is not an irrational number; irrational numbers cannot be expressed as fractions of integers.
• Integer: This does not apply as \(-\frac{1}{11}\) is not an integer.

Based on this analysis, the correct answer is:

B. The quotient is a rational number.