Martha states that –6 is a rational number. Which is a correct explanation for this statement?

Question

The number –6 is the opposite of 6.
The number –6 is a negative integer.
The number –6 can be written as StartFraction negative 6 over 1 EndFraction.
The number –6 is less than 0.

Answer 1

The correct explanation for why –6 is a rational number is: The number –6 can be written as \(-\frac{6}{1}\).

Rational numbers are defined as numbers that can be expressed as the quotient of two integers, where the denominator is not zero. Since \(-6\) can be expressed as \(-6/1\), it qualifies as a rational number.