Natural numbers refer to members of the set of positive integers or set of non-negative integers.
In Law of Natural Numbers, let x, y and z be any number, hence,
Law 1 - closure for addition:
x + y
Law 2 - commutative law for addition:
x + y = y + x
Law 3 - associative law for addition:
(x + y) + z = x + (y + z) = x + y + z
Law 4 - closure for multiplication:
x * y
Law 5 - commutative law for multiplication:
x * y = y * x
Law 6 - associative law for multiplication:
x(y*z) = (x*y)z
Law 7 - distributive property of addition and multiplication:
x(y +z) = x*y + x*z
Nice explanation and here is the exact definition of natural numbers Natural numbers is the set of non-negative integers and this includes zero as a natural number.
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