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.
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closure property is the sum or product of any two real numbers is also a real numbers.EXAMPLE,4 + 3 = 7 The sum is real number6 + 8 = 14add me in facebook.. lynnethurbina@yahoo.com =]
Commutative property: a + b = b + a; example: 4 + 3 = 3 + 4 Associative property: (a + b) + c = a + (b + c); example: (1 + 2) + 3 = 1 + (2 + 3) Closure property: The sum of two numbers of certain sets is again a number of the set. All of the above apply similarly to addition of fractions, addition of real numbers, and multiplication of whole numbers, fractions, or real numbers.
It is the commutative property of addition of real numbers.
It gives closure to the set of real numbers with regard to the binary operation of addition. This makes the set a ring. The additive inverse is used, sometimes implicitly, in subtraction.
It works for some operations, for others it doesn't. Specifically, both addition and multiplication of real numbers are commutative.