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Types Of Numbers. Sangram Deshmukh.
Natural Whole Integers Real Rational Irrational Complex Imaginary.
Numbers that start from 1,2,3,4,5,... So on are called natural numbers. ‘ ZERO’ is not a natural number. So 1 ,is the smallest natural number. The set of natural numbers is represented by the letter “N”. The Natural number set is defined by : N= Examples: 35,59,110 etc..
All Natural number Zero together i.e., 0,1,2,3,4,5.... So on are called Whole Numbers. Zero is the Smallest whole number. The whole number set is represented by the letter “W” The natural number set is defined by: W = Example 67,0,49,52,etc..
Integers are defined as the set of all whole numbers with a negative set of natural numbers. The integer set is represented by the symbol “Z”. The set of integer is defined as: Z = Example: -52,0,-1,16,82,etc..
Any number such as positive integers, negative integers, fractional numbers or decimal numbers without Imaginary numbers are called the real numbers. It is represented by the letter “R” . Example : ¾.0.333,0,-10,20,Square root of 2.
Any number that can be written in the form of p/q, i.e. A ratio of one number over another number is known as rational numbers . A rational number can be represented by the letter “Q” Example= 7/1,10/2,1/1,0/1,etc..
The numbers that cannot be expressed in the form of p/q. It means a number that cannot be written as the ratio of one over another is known as irrational numbers. It is represented by the letter “P” . Examples: square root of 2, pie, Euler’s constant etc..
A numbers that is in the form of a+bi is called complex numbers. where “a and b” should be real number and “ i ” is an imaginary numbers. Examples: 4+4i, -2+3i,etc..
The Imaginary numbers are categorized under complex numbers. It is the product of real numbers with the imaginary unit “ i ”. The imaginary part of the complex numbers is defined by Im (Z). Examples: i^2.3i, square root of 2 etc..