Final answer:
The number -13/12 is a rational number because it is a quotient of two integers where the denominator is not zero. This type of number can always be written as a fraction, a terminating decimal, or a repeating decimal. Option A is the correct answer.
Step-by-step explanation:
The number -13/12 is a rational number because it can be expressed as the quotient of two integers (where the denominator is not zero).
In this case, -13 is an integer and 12 is a natural number, which makes the fraction a valid rational number. It can be simplified further or written as a decimal, but it will always be a terminating or repeating decimal, which is a characteristic of rational numbers.
Rational numbers include all integers, fractions, and repeating or terminating decimals. An irrational number, on the other hand, cannot be expressed as a simple fraction and its decimal form is non-repeating and non-terminating. Examples of irrational numbers include pi (π) and the square root of 2 (sqrt(2)).
The final answer to the question of whether the number -13/12 is rational or irrational is: a. Rational.