## Friday, January 15, 2016

### Number Types

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

Related topics:
Indian Numeral   |   Hindu Arabic Numeral   |   Roman Numeral   |   Number System   |   Numeral System

List of topics: Maths