natural numbers
1, 2, 3, 4, 5, …
Natural numbers are a set of counting numbers beginning with 1 and 2, and continuing without end. They are represented by the symbol N and are often used in mathematics, science, and other fields to describe quantities or measurements.
Natural numbers are considered to be positive integers and do not include any negative numbers or fractions. The first few natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, and so on. They are used in everyday life to count, measure, and describe objects and quantities.
The properties of natural numbers include the following:
1. Closure property: The sum or product of any two natural numbers is always a natural number.
2. Associative property: The product and sum of natural numbers is associative i.e., (a+b)+c = a+(b+c) and (ab)c = a(bc).
3. Commutative property: The sum and product of natural numbers are commutative i.e., a+b = b+a and ab = ba.
4. Identity property: The sum of 0 and any natural number is that natural number itself and the product of 1 and any natural number is that natural number itself.
5. Every natural number greater than 1 can be factored uniquely into prime numbers.
These properties make natural numbers an essential element of mathematics and allow mathematicians to explore complex mathematical concepts using simple arithmetic operations.
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