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Is the set of positive integers a commutative group under the operation of addition?
No. It is not a group.
What is a definition of commutative property?
A mathematical operation, denoted by ~, is commutative over a set S, if x ~ y = y ~ x for all x and y belonging to S.
Why are the set of real numbers is not commuted under subtraction and addition?
Real numbers are commutative (if that is what the question means) under addition. Subtraction is a binary operation defined so that it is not commutative.
Definition and example of the commutative property?
An operation (such as addition or multiplication) is said to be commutative over a set of members of a set (numbers) if for all operands, the answer is not altered by the order in which they appear. Basically, for addition, that means 2 + 3 = 3 + 2 = 5 Subtraction is NOT commutative since 2 - 3 = -1 while 3 - 2 = 1, which is not the same.
Does commutative property work for fractions?
Yes. Both the commutative property of addition, and the commutative property of multiplication, works:* For integers * For rational numbers (i.e., fractions) * For any real numbers * For complex numbers
