What are kinds of numbers?

What are kinds of numbers?




What are kinds of numbers?


  An arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations is a number. However in maths, numbers are classified into different categories. And here are they:
  • Whole numbers: The basic counting numbers that do not include fractions, negatives and decimal part and which includes 0 are whole numbers like 0, 1, 2, 3, ...
  • Natural numbers (N): Whole numbers that do not include 0 are natural numbers like 1, 2, 3, 4, 5, ...
  • Even numbers: Numbers that are exactly divisible by 2 are even numbers like 0, 2, 4, 6, 8, 10, ...
  • Odd numbers: Numbers that are not exactly divisible by 2 are odd numbers like 1, 3, 5, 7, 9, ...
  • Positive numbers: Numbers that are greater than zero like 1, 4, 78, etc.
  • Negative numbers: Numbers that are smaller than zero like -7, -93, -25, etc.
  • Prime numbers: Numbers that cannot be divided by any other number except one and itself are prime numbers like 2, 3, 5, 7, 11, 13, 17, 19, ...
  • Composite numbers: Numbers that are product of two or more numbers are called composite numbers like 4, 6, 8, 9, ...
  • Consecutive numbers: Numbers that can be written serially are consecutive numbers like 1, 2, 3, 4; 2, 4, 6, 8, 10; ...
  • Integers (Z): Whole numbers and negatives are called integers like ...-2, -1, 0, 1, 2, ...
  • Rational numbers (Q): Numbers that can be written as a fraction where the numerator and the denominator both are integers are rational numbers like 1/1, 34/-2, -70/100, etc.
  • Irrational numbers (I): Numbers that cannot be written as a fraction are called irrational numbers like 1.12347843..., 64.44444..., 18.121204041212..., etc.
  • Square numbers: Integer that can be written as the square of any integer is a square number like 1, 4, 9, 16, 25, ...
  • Polygonal numbers: Numbers that can be written in form of dots to represent shapes like triangle numbers, square numbers, etc.
  • Surds: Irrational root of a rational number is a surd like √2, √3, √5, etc.
  • Real numbers (R): Collection of all the numbers on a number line are real numbers like 1.564, 57/-2, 3.14..., etc.
  • Imaginary number: Square root of a negative number is i, the imaginary number like 10i, 563i, 2i, etc.
  • Complex numbers (C): Writing an operation of real an imaginary numbers together are called complex numbers like 3-45i, 91i+6, 43i+23-72, etc.
  • Algebraic numbers: Any number that is the root of a non-zero polynomial with rational coefficients like rational numbers, polynomial roots, etc.
  • Transcendental numbers: Numbers that are not algebraic are transcendental numbers like e, π, etc.
  • Trigonometric numbers: Numbers that are sine or cosine of a rational multiple of π like π/4, √2/2, etc.
  • Non- negative numbers: Numbers that aren't negative.
  • Non- positive numbers: Numbers that aren't positive.
  For more information, click here.
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