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WOULD U PLEASE EXPLAIN DIFFERENT NUMBERS &ITS PROPERTIES?(INTEGERS,W,R,Z.....)

Natural numbers
    The counting numbers {1, 2, 3, ...}, are called natural numbers. They include all the counting numbers i.e. from 1 to infinity.

Whole numbers
    They are the natural numbers and zero. Not all whole numbers are natural numbers, but all natural numbers are whole numbers.
Integers
    Positive and negative counting numbers, as well as zero.
Rational numbers
    Numbers that can be expressed as a fraction of an integer and a non-zero integer.[1]
Real numbers
    All numbers that can be expressed as the limit of a sequence of rational numbers. Every real number corresponds to a point on the number line.
Irrational numbers
    A real number that is not rational is called irrational.
Complex numbers
    Includes real numbers and imaginary numbers, such as the square root of negative one.
Hypercomplex numbers
    Includes various number-system extensions: quaternions, octonions, tessarines, coquaternions, and biquaternions.

The addition (+) and multiplication (×) operations on natural numbers have several algebraic properties:

    Closure under addition and multiplication: for all natural numbers a and b, both a + b and a × b are natural numbers.
    Associativity: for all natural numbers a, b, and c, a + (b + c) = (a + b) + c and a × (b × c) = (a × b) × c.
    Commutativity: for all natural numbers a and b, a + b = b + a and a × b = b × a.
    Existence of identity elements: for every natural number a, a + 0 = a and a × 1 = a.
    Distributivity of multiplication over addition for all natural numbers a, b, and c, a × (b + c) = (a × b) + (a × c)
    No zero divisors: if a and b are natural numbers such that a × b = 0, then a = 0 or b = 0.


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