![]() ![]() The group of natural number including the number zero is called whole number. Therefore, the mean of the first five whole numbers is 2. Mean of first five whole numbers = (0 + 1 + 2 + 3 + 4)/5 The mean of the first five whole numbers is: Therefore, the whole numbers before 10001 will be: 10000, 9999, 9998.Įxample 6: What is the mean of the first five whole numbers? If the sequence of whole numbers are noticed, it can be observed that the whole numbers have a difference of 1 between any 2 numbers. Therefore, the numbers that do not belong to whole numbers are -99, 11.2, 87.7, and 53/4.Įxample 5: Write 3 whole numbers occurring just before 10001. ![]() Out of the numbers mentioned above, it can easily be observed that 4, 0, 45, and 32 belong to whole numbers. The smallest whole number is 0, and the smallest natural number is 1. The statement for the closure property is that the sum and the product of two whole numbers will always be a whole number.įor example: Prove the closure property for 2 and 5.Įxample 4: Write down the number that does not belong to whole numbers: The set of whole numbers begins with 0, while the set of natural numbers begins with 1. In this property, if x and y are whole numbers, then x + y is a whole number, and xy is also the whole number. The main properties of whole numbers are: The basic operation done in mathematics lead to the properties of the whole numbers, that is, properties based on addition, subtraction, multiplication, and division. The set of natural numbers (N) is Įvery whole number is not a natural number. Below diagram shows how the set of natural numbers, whole numbers, integers, rational numbers are related to each other.ĭifference between Natural Numbers and Whole Numbersīelow is the table that contains the difference between natural numbers and whole numbers , It can be easily observed from the above number line that all natural numbers are whole numbers, the set of natural numbers is a subset of the whole numbers, and hence, the set of whole numbers W is the proper superset of the set of natural numbers N. Integers is a special set of numbers comprising zero, positive numbers and negative numbers. Thus, we can say, integers are numbers that can be positive. Natural numbers and whole numbers are now known to us. Similar to whole numbers, integers also does not include the fractional part. One of the most important properties of numbers is that whole numbers can always be divided by themselves. When compared to other types of numbers, beginning with the number zero and including counting numbers such as one, two, three, and so on, they have few properties. This visual representation is the best way to conclude that all natural numbers are whole numbers but not vice versa. Whole numbers, also known as natural numbers, are a subset of integers. ![]() Looking at a number line, it can be observed that the integers lying on the right side of 0, including 0, are all whole numbers, and the integers lying on the right side of 0, excluding 0, are all natural numbers. Whole numbers on a number line can easily be observed as the number line, in the general case, represents integers from -∞ to +∞, and whole numbers are positive integers, including 0.
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