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Number Systems

any notation for the representation of numbers

Whole

There is no fractional or decimal part. And no negatives.
Example: 5, 49 and 980 are all whole numbers.

Natural

Whole Numbers, but without the zero. Because you can't "count" zero.
Example: 1, 2, 3, 4, 5, (and so on).

Irrational

is a real number that cannot be written as a simple fraction.Irrational means not Rational
Example:22/7, square root of 2,square root of 3, square root of 1

Integers

Integers are like whole numbers, but they also include negative numbers ... but still no fractions allowed!
Example: -3,-45,-89,8,3,5,6,7,-34

Real

the numbers that can be written in decimal notation, including those that require an infinite decimal expansion. The set of real numbers includes all integers, positive and negative; all fractions; and the irrational numbers, those whose decimal expansions never repeat.
Examples:3.9, -34,7/3, 34, 234/98,.98323, 1/2,2, 4,

Rational

it can be expressed as the quotient, or ratio, of two whole numbers. Rational numbers include fractions like 2/7, whole numbers, and radicals if the radical sign is removable
Examples:5/4, 21/55, 2/3, 1/2

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