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Closure property of addition in brief?
The closure property of addition says that if you add together any two numbers from a set, you will get another number from the same set. If the sum is not a number in the set, then the set is not closed under addition.
What is closure property addition of real numbers?
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.
Does every infinite set of whole numbers satisfy the closure property for addition?
No. Consider the set of odd integers.
Does the Commutative Property apply to addition of fractions?
Yes, it applies to even multiplication of fractions and rational and irrational numbers.
What are commutative propertyassociative property and closure propety?
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.
