Definition The name natural number is given for those numbers which come naturally to us. These numbers are all positive integers from 1,2,3,4,5----up to infinity, each succeeding number is greater by its previous number by 1.These numbers are also called counting numbers.
Properties
Algebraic properties
Closure property- For addition and multiplication all natural numbers have closure property. If a and b are two natural numbers, then ( a+ b) and a x b are natural numbers.
Associative property- for all natural numbers like a, b and c a+(b+ c)=(a +b)+c and ax(b x c)=(a x b)x c
Commutatitve property-For all natural numbers (a, b ) a+ b=b+ a and ax b= b x a
Identity property-for every natural number a, a+0=a and ax1=a
Distributive property- Multiplication is done before addition
Example- ax (b +c) = (a x b)+ (a x c)
However, the difference or the ratio of two natural numbers is not always a natural number. For example, 6-4 and 12/4 are natural numbers, but 4-6 and 4/12 are not.Order
Each natural number corresponds to a position in a sequence. The natural numbers are ordered in an infinite list.
Example: -
1, 2, 3, 4, 5-----that starts at 1, but there is no ending .There is no last natural number.
This is just a brief introduction to natural numbers . Keep reading and leave your comments. May be in the next lesson let me help you go through on types of angels
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