Rational numbers are numbers that can be expressed as the quotient of two integers (a/b, where b ≠ 0). Whole numbers are a subset of rational numbers that include 0 and all positive integers (0, 1, 2, 3, ...).
Not all rational numbers are whole numbers; for example, \( \frac{1}{2} \) and \( -3 \) are rational but not whole numbers.
However, all whole numbers are rational numbers because each whole number can be expressed as a fraction with a denominator of 1 (e.g., 3 can be written as \( \frac{3}{1} \)).
In summary:
- Not all rational numbers are whole numbers (e.g., \( \frac{1}{2}, -3 \)).
- All whole numbers are rational numbers (e.g., 0 as \( \frac{0}{1}, 5 \) as \( \frac{5}{1} \)).