{"id":7555,"date":"2021-10-26T16:32:01","date_gmt":"2021-10-26T11:02:01","guid":{"rendered":"https:\/\/mathemerize.com\/?p=7555"},"modified":"2021-10-26T23:11:07","modified_gmt":"2021-10-26T17:41:07","slug":"concepts-of-number-system","status":"publish","type":"post","link":"https:\/\/mathemerize.com\/concepts-of-number-system\/","title":{"rendered":"Concepts of Number System"},"content":{"rendered":"
We will will looking at the types of numbers like natural numbers, whole numbers, integers, prime and composite numbers etc. and basic concepts of number system. <\/p>\n
Let’s begin –<\/p>\n
Natural numbers, also called counting numbers, are the first numbers we learnt. They are the number set 1, 2, 3, 4 ….. \\(\\infty\\).<\/p>\n
On the other hand, whole numbers is the set of natural numbers plus, the number zero.<\/p>\n
Thus, 0,1, 2, 3, 4 ….. \\(\\infty\\) is the set of whole number.<\/p>\n
All numbers that don not have a decimal in them are called integers. Thus -3, -17, + 4, +13, +1473, 0 etc are all integers.<\/p>\n
Obviously, decimal numbers are numbers which have a decimal value attached to them. Thus, 1.3, 14.76, -12,24 etc are all decimal numbers, since they have certain values after the decimal point.<\/p>\n
These are numbers which have no divisors\/factors apart from 1 and itself. Thus, 2, 3, 5, 7, 11 etc are all prime numbers.<\/p>\n
The numbers which have atleat one more divisor apart from 1 and itself are called composite numbers.<\/p>\n
Note<\/strong> : A breif word about factors\/division – A number is said to be divide Y ( or is said to be a divisor or factor of Y). When the division of Y\/X leaves no remainder.<\/p>\n All composite numbers have the property that they can be written as the product of ther prime factors.<\/p>\n Thus, 4, 6, 8, 9, 10 etc are all composite numbers.<\/p>\n Numbers which can be expressed in the form p\/q where q \\(\\ne\\) 0 are called rational numbers. For example, 4.2 can be written as 42\/10 and then converted to 21\/5. Hence it is a rational number<\/p>\n Other example is 4.333…. which can be written as 13\/3 is also a rational number<\/p>\n Obviously, numbers which cannot be represented in the form p\/q are called as irrational numbers.<\/p>\n For example, \\(\\sqrt{3}\\), \\(\\sqrt{7}\\) are irrational numbers.<\/p>\n\n\nRational and Irrational Numbers<\/strong><\/h4>\n