No, not all rational numbers are whole numbers. Rational numbers include all numbers that can be expressed as a fraction where both the numerator and the denominator are integers, and the denominator is not zero. This means rational numbers can be positive, negative, or zero, and they can be whole numbers, fractions, or decimals that terminate or repeat.
Whole numbers, on the other hand, are a subset of rational numbers. They include all non-negative integers (0, 1, 2, 3, …). Since whole numbers do not include fractions or decimals, they are just a part of the broader category of rational numbers.
For example, the number 3 is both a whole number and a rational number because it can be expressed as the fraction 3/1. However, the number 1/2 is a rational number but not a whole number because it is a fraction and not an integer.
In summary, while all whole numbers are rational numbers, not all rational numbers are whole numbers.