Number System

Counting of the numbers is an integral part of our daily life, it is a mathematical object used for counting and measuring. In Mathematics we are using only 0,1,2,3,4,5,6,7,8,9 digits but by using these digits we can frame infinite numbers such as 0,1,2,3,4,5,.................∞ these are called Natural Numbers. In mathematics we have different type of numbers such as 

1. Natural Numbers(N):  

1,2,3,4,5,6,7,8.........................∞

2. Whole Numbers:

     0,1,2,3,4,5............................∞
     Note: All Natural Numbers are whole numbers but all whole numbers are not natural numbers)

3. Integer Numbers(Z) 

     Positive Integers and Negative Integers(+Ve and -Ve counting numbers as well as Zero)

      ∞...... -6,-5,-4,-3,-2,-1,0,1,2,3,4,5,---------∞

4. Rational Numbers(Q): 

 (The Numbers are in the form of ^a/_b where a,b are the integers and b is not 0)

5. Real Numbers(R) and 

( + Ve or -Ve Numbers, Decimal such as  4, 15.78, -0.783, 3/4, √2,  198.....)

6. Irrational Numbers: 

A Real Number that is not Rational

7. Imaginary Numbers: 

Numbers that equal the product of a real number and the square root of –1.

8. Complex Numbers(C): 

The Numbers are in the form of a + bi, where a and b are the real numbers and i is the square root of -1

Representation of the Numbers:

1. Decimal Numbers
2. Binary Numbers
3. Roman Numbers
4. Fraction Numbers
5. Scientific Notations

Integer Types:

Even and Odd Numbers
Prime Numbers
Composite Numbers
Square Numbers
Polygon Numbers

Algebraic numbers

Algebraic number
Transcendental number
Quadratic surd
Constructible number
Algebraic integer

Shortcuts for Divisibility Rules

Number System Model 1
Number System Model 2
Number System Model 3
Number System Model 4
Number System Model 5
Number System Model 6