Yes, all whole numbers are indeed real numbers. To understand why, it’s essential to know what whole numbers and real numbers are.
Whole numbers are the set of numbers that include zero and all positive integers, which means they are 0, 1, 2, 3, 4, and so on, without any fractions or decimals. They are used for counting and ordering.
Real numbers, on the other hand, encompass a broader set of numbers, including all rational and irrational numbers. This means real numbers consist of whole numbers, integers, fractions, and non-repeating/non-terminating decimals, such as the square root of 2 or pi.
Since every whole number fits into the definition of a real number—it can be represented on the number line and has no imaginary part—we can confidently say that all whole numbers are real numbers. In essence, while not all real numbers are whole numbers, all whole numbers are indeed contained within the group of real numbers.