What is a Natural Number and it’s Applications

Introduction

A natural number is a number which is greater than 0 , the value of natural numbers range from 1 to infinity .

Natural numbers are used mainly for counting , the application of natural number is enormous in mathematics and computer science. We usually use the natural number for ordering the items in any application .

Applications

Natural number forms the basis for origination of many others series of number like rational numbers, complex numbers , real numbers .

Definition

0 = ℕ0 = ℕ ∪ {0} = {0, 1, 2, …}

Properties

According to Peano axioms.

  1. 0 can be considered as natural number.
  2. Every natural number has a successor which is also a natural number.
  3. 0 is not the successor of any natural number (0 should be first).
  4. If the successor of x equals the successor of y, then x equal to  y.

Natural numbers are mainly used in computer science ,in writing the programs , in incrementing and decrementing the numbers in looping statements ,we use the natural numbers. Hence the usage of natural number is having highest importance in computer science .

We can find the sum of n natural numbers using the formuls

sum = n(n+1)/2.

Conclusion

Natural numbers are very important in mathematics and computer science , they have their own importance in defining the many series.