Difference Between Natural and Whole numbers

The key difference between natural number and whole number is the presence of value ‘0’ in whole numbers. A number is an arithmetic value which is used to represent a particular quantity. In Mathematics, the different types of numbers are as follows:

  • Integers
  • Real Numbers
  • Natural Numbers
  • Rational Numbers
  • Whole numbers
  • Irrational Numbers
  • Complex Numbers

The different types of numbers are classified based on their characteristic properties. In this article, let us discuss the difference between natural and whole numbers with examples in detail.

Definition of Natural and Whole Numbers

Natural Numbers: The numbers 1, 2, . . . . , N all are called Natural Numbers. The negative numbers and 0 are not counted as the natural numbers because  1 is considered as the smallest natural number. The examples of natural numbers are 34, 22, 2, 81, 134, 15

Whole Numbers: The numbers 0, 1, 2, . . . . . , N all are called Whole Numbers, i.e. if 0 is included in natural numbers, then it is known as Whole Numbers. Whole numbers are located at 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.

What is the Difference Between Natural and Whole Numbers?

The major difference between natural and whole numbers is that natural number doesn’t include 0 whereas whole numbers include 0 too. Let us discuss the other differences also.

Difference Between Natural and Whole Numbers

S.No

Natural Numbers

Whole Numbers

1 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 it started with zero. The whole numbers in set notation is {0,1, 2, 3, 4, 5, ….}
2 Natural Numbers are represented using the letter “N” Whole Numbers are represented using the letter “W”.
3 Counting number starts from 1 Counting number starts from 0
4 We can say that all the natural numbers are considered as whole numbers We can say that all the whole numbers are not considered as natural numbers

Solved Examples

Example 1: Find whole numbers from the given numbers. 13, 0, 5, 89, 4, -4, -3, 23

Sol: Whole Numbers = 13, 0, 5, 89, 4, 23

Example 2: Find whole numbers from 4, 14/5, 0, (0.97), 2, -6, -17, 21

Sol: Whole Numbers = 4, 0, 2, 21.

Example 3: From the given series of numbers, find natural numbers. 41, (0.4), 5, 90, -91, 0, -7.

Sol: Natural Numbers = 41, 5, 90.

Example 4: From the given series of numbers, find natural numbers. 4, 4/15, 0, (0.87), 2, -7, -17, 21.

Sol: Natural Numbers = 4, 2, 21.

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Frequently Asked Questions – FAQs

Are whole numbers and natural numbers same?

Whole numbers include all the natural numbers along with zero. It starts from 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so on. But all whole numbers are not natural numbers.

What value is not common between natural and whole numbers?

The only difference between natural and whole numbers is the value of 0. The whole number includes 0, whereas natural numbers do not.

Is 0 a natural number?

Zero (0) is not a natural number but a whole number. Natural numbers start from 1, 2, 3, 4, 5,….and so on.

Are integers whole numbers or natural numbers?

Integers are the numbers which are positive, negative and zero. It includes all the whole numbers, but it cannot be a fraction.

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