Question

Integers always are rational numbers

Answer 1

Yes, that is correct! Integers are indeed a subset of rational numbers. A rational number is defined as any number that can be expressed as the quotient \( \frac{p}{q} \), where \( p \) is an integer, \( q \) is a non-zero integer, and \( q \) cannot be zero.

Since any integer \( n \) can be expressed as \( \frac{n}{1} \), it fits the definition of a rational number. For example:

- The integer 5 can be written as \( \frac{5}{1} \).
- The integer -3 can be written as \( \frac{-3}{1} \).
- The integer 0 can be written as \( \frac{0}{1} \).

Therefore, all integers are rational numbers.