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Notes On Mathematics

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Published in: Mathematics
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These notes will help you to understand the types of numbers and their properties.

Shruti S / Kolhapur

1 year of teaching experience

Qualification: M.Sc (Shivaji University, Kolhapur - 2019)

Teaches: All Subjects, English, Mathematics, Science, Algebra, Effective Communication, Spoken English

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  1. Numbers In Mathematics, number is an arithmetic value used to show the quantity of any object. We use numbers in our daily life for different perspectives. So, let's study different types of numbers. Types of Numbers 1) Natural Numbers Definition Natural numbers occur from I to infinity. The set of natural numbers is denoted by 'N' Natural numbers are also called as 'Counting Numbers'. Examples 13, 20, 40, etc. 2) Whole Numbers Definition Whole numbers occur from 0 to infinity. The set of whole numbers is denoted by 'W' Examples O, etc. 3) Integers Definition Integers consist of all whole numbers and a set of all negative natural numbers. The set of Integers is denoted by 'Z' z-{. Examples -50, -43, -12, -1, O, 3, 48, 69, 89, etc. 4) Rational Numbers Definition Rational numbers are written in the form of p/q, i.e. the ratio of one number over the another number. The set of Rational numbers is denoted by 'Q' Q = { p/q p € Z, q € Z, q } Examples 5/1, 7/10, 4/9, etc. 5) Irrational Numbers Definition Irrational numbers are the numbers which cannot be presented in p/q form. The set of Irrational numbers is represented by 'P' Examples , 410, 11, etc. 6) Real Numbers Definition Altogether natural numbers, whole numbers, integers, rational numbers and irrational numbers known as Real numbers. The set of real numbers is denoted by 'R'
  2. Examples 2/3, 0.5555, 46, O, -11, 30, etc. 7) Complex Numbers Definition Complex Numbers are the numbers in the form 'a + ib', where 'a' and 'b' are real numbers 4-1. The set of complex numbers is denoted by 'C' and 'i' is an imaginary number, i C {a+ib Examples 3 + 2i, -7 + 5i, 2 + 43i, etc. Properties 1) Addition Property Types of Numbers Closed Natural Numbers Whole Numbers Integers Rational Numbers frrational Numbers Real Numbers Com lex Numbers 2) Multi lication Pro ert Types of Numbers Closed Natural Numbers Whole Numbers Integers Rational Numbers Irrational Numbers Real Numbers Complex Numbers Associative Associative Under Addition Commutative Distributive Under Multiplication Commutative Distributive Satisfies when multiplication over addition and vice versa Satisfies when multiplication over addition Identity Element zero zero zero zero Identity Element one one one one For more such information please follow us. Thank You.

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