The key difference between the natural number and the whole number is the presence of the value ‘0’ in whole numbers. A number is an arithmetic value that is used to represent a particular quantity. In mathematics, the different types of numbers are as follows: Natural numbers And Integer Numbers/ tabular form
The different types of numbers are classified based on their characteristic properties. In this article, let’s discuss the difference between whole numbers and integers with examples in detail.
Natural numbers : the numbers 1, 2 ,. . . . , N are all called natural numbers . Negative numbers and 0 are not counted as natural numbers because 1 is considered the smallest natural number. Examples of natural numbers are 34, 22, 2, 81, 134, 15
Whole numbers : the numbers 0, 1, 2 ,. . . . . , N are all called whole numbers, that is, if 0 is included in natural numbers, then it is known as whole numbers. The whole numbers are on the right side of the number line. Zero is the smallest whole number. Also, negative numbers are not whole numbers. For example = 0, 13, 22, 290, 19, 34, 95 all are whole numbers.
The main difference between natural numbers and integers is that the natural number does not include 0, while the integers also include 0.
Below we show you a comparative table where also the other differences :
NATURAL NUMBERS | INTEGER NUMBERS |
Natural numbers are defined as the basic counting numbers. The natural number in set notation is {1, 2, 3, 4, 5,… ..} | Whole numbers are defined as the set of natural numbers and begins with zero. The whole numbers in set notation are {0,1, 2, 3, 4, 5,….} |
Natural numbers are represented by the letter “N” | Whole numbers are represented by the letter “W”. |
The counting number starts from 1 | The counting number starts from 0 |
We can say that all natural numbers are considered whole numbers | We can say that all integers are not considered natural numbers. |
Examples of whole and natural numbers
Example 1: Find whole numbers from the given numbers. 13, 0, 5, 89, 4, -4, -3, 23
Example 2: Find whole numbers from 4, 14/5, 0, (0.97), 2, -6, -17, 21
Example 3: From the given series of numbers, find natural numbers. 41, (0.4), 5, 90, -91, 0, -7.
Example 4: From the given series of numbers, find natural numbers. 4, 15/4, 0, (0.87), 2, -7, -17, 21.
Whole numbers include all natural numbers along with zero. Start from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, etc. But all natural numbers are not whole numbers.
The only difference between natural numbers and integers is the value of 0. The integer includes 0, while the natural numbers do not.
Zero (0) is not a natural number but a whole number. Natural numbers begin with 1, 2, 3, 4, 5,… .and so on.
The integers are the numbers that are positive, negative, and zero. Includes all whole numbers but cannot be a fraction.
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