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It is the commutative property of addition of real numbers.
A real number is any number. Real numbers can be whole numbers or numbers which include a decimal point.
An Archimedean property is the property of the set of real numbers, that for any real number there is always a natural number greater than it.
Please don't write "the following" if you don't provide a list. This is the situation for some common number sets:* Whole numbers / integers do NOT have this property. * Rational numbers DO have this property. * Real numbers DO have this property. * Complex numbers DO have this property. * The set of non-negative rational numbers, as well as the set of non-negative real numbers, DO have this property.
Real Numbers are said to be closed under addition because when you add two Real Numbers together the result will always be a Real Number.