how many types of number are there and what are they
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natural number
whole number
integers
rational numbers
irrational numbers
real numbers
whole number
integers
rational numbers
irrational numbers
real numbers
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Numbers can be classified according to how they are represented or according to the properties that they have.
Main types
Natural numbers {N} : The counting numbers {1, 2, 3, ...} are commonly called natural numbers; however, other definitions include 0, so that the non-negative integers {0, 1, 2, 3, ...} are also called natural numbers.
Integers {Z} : Positive and negative counting numbers, as well as zero: {..., -3, -2, -1, 0, 1, 2, 3, ...}.
Rational numbers {Q}: Numbers that can be expressed as a ratio of an integer to a non-zero integer.All integers are rational, but the converse is not true.
Real numbers {R} : Numbers that have decimal representations that have a finite or infinite sequence of digits to the right of the decimal point. They can be positive, negative, or zero. All rational numbers are real, but the converse is not true.
Irrational numbers {I} Real numbers that are not rational.
Imaginary numbers: Numbers that equal the product of a real number and the square root of –1. The number 0 is both real and imaginary.
Complex numbers {C} : Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.
Hypercomplex numbers include various number-system extensions: quaternions
{H} , octonions {O} , sedenions {S}, tessarines, coquaternions, and biquaternions.
p-adic numbers: Various number systems constructed using limits of rational numbers, according to notions of "limit" different from the one used to construct the real numbers.
Main types
Natural numbers {N} : The counting numbers {1, 2, 3, ...} are commonly called natural numbers; however, other definitions include 0, so that the non-negative integers {0, 1, 2, 3, ...} are also called natural numbers.
Integers {Z} : Positive and negative counting numbers, as well as zero: {..., -3, -2, -1, 0, 1, 2, 3, ...}.
Rational numbers {Q}: Numbers that can be expressed as a ratio of an integer to a non-zero integer.All integers are rational, but the converse is not true.
Real numbers {R} : Numbers that have decimal representations that have a finite or infinite sequence of digits to the right of the decimal point. They can be positive, negative, or zero. All rational numbers are real, but the converse is not true.
Irrational numbers {I} Real numbers that are not rational.
Imaginary numbers: Numbers that equal the product of a real number and the square root of –1. The number 0 is both real and imaginary.
Complex numbers {C} : Includes real numbers, imaginary numbers, and sums and differences of real and imaginary numbers.
Hypercomplex numbers include various number-system extensions: quaternions
{H} , octonions {O} , sedenions {S}, tessarines, coquaternions, and biquaternions.
p-adic numbers: Various number systems constructed using limits of rational numbers, according to notions of "limit" different from the one used to construct the real numbers.
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