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Why is zero not closed under the operation of whole numbers?
A set can be closed or not closed, not an individual element, such as zero. Furthermore, closure depends on the operation under consideration.
Is the set of all integers closed under the operation of multiplication?
Yes.
Is the set of positive integers a commutative group under the operation of addition?
No. It is not a group.
The set of real numbers are NOT closed under which operation?
Division, since you can't divide by zero.
Does the set of even integers form a group under the operation of multiplication?
No. The inverses do not belong to the group.
Why is zero not closed under the operation of whole numbers?
A set can be closed or not closed, not an individual element, such as zero. Furthermore, closure depends on the operation under consideration.
Is the set of irrational numbers a group under the operation of multiplication?
No. It is not even closed. sqrt(3)*sqrt(3) = 3 - which is rational.
Under which operation are natural numbers closed?
Addition.
Under which operation is the set of odd integers closed?
addition
Are natural numbers closed under the operation of multiplicaton?
yes
Are rational numbers closed under subtraction operation?
Yes, they are.
Is set of numbers closed under natural and subtraction?
Please clarify what set you are talking about. There are several sets of numbers. Also, "closed under..." should be followed by an operation; "natural" is not an operation.
Under what operation is the set of positive rational numbers not closed?
Subtraction.
What operation are whole numbers closed under?
l think multiplication
Is the set of all integers closed under the operation of multiplication?
Yes.
Is the set of positive integers a commutative group under the operation of addition?
No. It is not a group.
The set of real numbers are NOT closed under which operation?
Division, since you can't divide by zero.
