Hi!

**History:**
The mathematical notation which is used to represent the
numbers of a given set is known as number system. It represents the meaningful
set of numbers that includes integers and rational numbers. In ancient times,
these number system was used like,
1 2 3 which is nowadays known as decimal number system.

**Types of number system:**

**1. Natural numbers:**

1, 2, 3

**2. Integers: **

0, -1, -2

**3. Rational numbers: **

In fractions p/q

**4. Real numbers: **

All the numbers are real numbers.

**5. Complex numbers:**

The numbers in the form of z = a + bi, where a and b are real numbers.

**6. Algebraic numbers: **

The complex numbers.

**Properties of numbers:
**

**1. Associative property
**

Addition: a+(b+c)=(a+b)+c

Multiplication: a.(b+c)=(a.b).c

**2. Commutative
property****
**

Addition: a+b=b+a

Multiplication: a.b=b.a

**3. Inverse property
**

Addition: a+(-a)=0

Multiplication: a.(1/a)=1

**4. Distributive property
**

a.(b+c)=a.b+a.c