Absalom states that 0 is a rational number. Which is a correct explanation for this statement?

The number 0 is a whole number, which is part of the rational numbers.
The number 0 is the center of the number line.
The number 0 is a natural number, which is part of the rational numbers.
The number 0 cannot be written as a fraction.

1 answer

The correct explanation for Absalom's statement that 0 is a rational number is:

The number 0 is a whole number, which is part of the rational numbers.

Rational numbers are defined as numbers that can be expressed as the quotient of two integers (where the denominator is not zero). Since 0 can be expressed as \( \frac{0}{1} \) (or \( \frac{0}{n} \) for any non-zero integer n), it qualifies as a rational number.