Final answer:
The number -1/61 is classified as a Real Number and a Rational Number because it can be represented as a fraction of two integers and is not imaginary.
Step-by-step explanation:
The number -1/61 can be classified under different categories within the real number system. First, it is a Real Number because it exists on the number line and is not imaginary. Secondly, it is a Rational Number because it can be expressed as a fraction of two integers, where the numerator is -1 and the denominator is 61, and 61 is not equal to zero. The number -1/61 is not an Integer, Whole Number, or Natural Number because these categories only include non-fractional numbers and are non-negative (except for integers that can be negative but must still be whole).
It is also not an Irrational Number since irrational numbers cannot be expressed as a simple fraction. Hence, the negative fraction -1/61 falls into the categories of Real Numbers and Rational Numbers.