**Number Types Summary**

*Counting Numbers*: Numbers used to count.

Example: - 1,2,3……

*Zero*: Number to express empty or nothing.

Example: 0

*Whole Number*: Counting number and zero together.

Example: 0,1,2,3…

*Natural Number*: Counting Number or Whole Number depending on subject.

Example: 1,2,3… or 0,1,2,3…

*Negative Number*: Numbers less than 0 or to count backwards.

Example: … -3,-2,-1. 0 has no sign.

*Integer*: Negative Number and Whole Number together.

Example: ..-3,-2,-1,0,1,2,3..

*Even Number*: Any integer that can be divided exactly by 2.

Example: ..-4,-2,0,2,4…

*Odd Number*: Any integer that cannot be divided exactly by 2.

Example: ..-3,-1,1,3…

*Prime Number*: An integer greater than 1 that has no positive divisors other than 1 and itself.

Example: 2, 3, 5, 7, 11, 13, 17…

*Composite Number*: An integer greater than 1 that is not a prime number.

Example: 4,6,8,9,10….

*Fraction Number*: Part of a whole or Ratio of two integers in a/b form. a – numerator, b - denominator.

Example: ½, ¼, ¾, 3/8

*Proper Fraction Number*: In a fraction number, numerator is less than denominator.

Example: 1/3, 2/7

*Improper Fraction Number*: In a fraction number, numerator is greater than or equal to denominator.

Example: 5/3, 20/10, 11/11

*Mixed Fraction Number*: Sum of a non-zero integer and a proper fraction.

Example: 2 + 3/4

*Rational Number*: Any number that can be written as a fraction. p/q : p and q are integers, q is not zero.

Example: -4/3, 3/2, 2..

*Irrational Number*: A number which cannot be expressed as a ratio of integers.

Example: √1, √2,√3, √5, π, e ..

*Real Number*: Rational and Irrational Numbers. x : x is a rational or an irrational number.

Example: 2, ¾, √1…

*Imaginary Number*: A number whose square is a negative Real Number.

Example: √-9 = 3i, -6i, 0.05i, πi... 0 is both real and imaginary.

*Complex Number*: Combination of a Real Number and an Imaginary Number. a + bi, where a and b are real, and i is imaginary.

Example: 1+i, 0.5-3i,-2+ πi, √2+i/2..

*Binary Number*: Base 2 numeral system.

Example: 0,1

*Octal Number*: Base 8 numeral system.

Example: 0,1,2,3,4,5,6,7

*Decimal Number*: Base 10 numeral system. Standard Hindu-Arabic numeral system.

Example: 0,1,2,3,4,5,6,7,8,9

*Hexadecimal Number*: Base 16 numeral system.

Example: 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E

*Roman Number*: Roman numeral system.

Example: Ⅰ Ⅱ Ⅲ Ⅳ Ⅴ Ⅵ Ⅶ Ⅷ Ⅸ Ⅹ

*Scientific Number*: A method for writing very small and very large numbers using powers of the base number 10.

Example: 0.000003 = 3.0 e -6 or 3.0 x 10 -6. 234,000,000 = 234 x 10 6

*Positive Number*: Number greater than 0.

Example: 1,2,3,….

*Negative Number*: Number less than 0.

Example: …-3,-2,-1

*Non Positive Number*: Number less than or equal to 0.

*Non Negative Number*: Number greater than or equal to 0

*Algebraic Number*: Ay number that is the root of a non-zero polynomial with rational coefficients

*Transcendental Number*: Any real or complex number that is not algebraic.

Example: - π, e

*Transfinite*: Numbers that are greater than any natural number

*Cardinal Number*: Number that says how many of something in a list.

Example: 1 or 2 or 3…..

*Ordinal Number*: Number that tells the position of something in a list.

Example: 1st or 2nd or 3rd or 4th or 5th, …

*Nominal Number*: Number to identify something.

Example: Zip or Postal code, model number

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**Related topics:**

Indian Numeral | Hindu Arabic Numeral | Roman Numeral | Number System | Numeral System

**List of topics:**Maths

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