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 TAXONOMY OF NUMBERS

    
Let's talk about the taxonomy of numbers, just like we look into the taxonomy of organisms in biology and fundamentals of molecules chemistry.
    
All numbers you can think of belongs to the general family of Numbers in mathematics. Among the general family of Numbers, some numbers are Real Numbers while some are Imaginary Numbers.
    
Within the category of Imaginary Numbers, these are found in taking the square-root of a negative number. The square-root of a -1 is i. Within the category of Real numbers, there are sub-categories: Rational and Irrational Numbers.
   
Rational Numbers can be defined as the ratio of two Integers, while Irrational Numbers can not be expressed as a ratio of two Integers. Irrational numbers have non- repeating decimals that are non-terminating, meaning they continue forever yet no pattern. E.g √2= 4142135.....
No matter how many digit we see, we aren't listing the precise value. Other irrational numbers is π=3.141592......

1/3= 0.333333. This number is Rational Numbers because Integers are either Whole Numbers or Natural Numbers starting from "0" going to the positive direction. 3/2=1.5, this is Rational Number and are expressed as either fractional or decimals and these forms are equivalent.

Fractions, therefore are all the numbers that happens in between the integers. And there are infinitely many of them. They are expressed as a quotient, in which a numerator is divided by a denominator. In a simple fraction, both are Integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator.
    
Thank you for your time, that's pretty much to be learned. Credit goes to Prof. Dave Explains. At Tutelage Educational Services, call us today for your Individualized Private Tutorial, Home Teaching, Online Teaching, Homeschooling, Coaching and Counselling.
 
Visit: www.tutelageeduservices.com
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