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Which set is closed under the given operation 1 integers under division 2 negative integers under subtraction 3 odd integers under multiplication?
1 No. 2 No. 3 Yes.
Are negative integers closed under multiplication?
No.
Is the set of integers closed under multiplication?
Yes!
Is set of integers is a field?
The set of integers is not closed under multiplication and so is not a field.
How are the rules for multiplication and division integers the same?
They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.
Which set is closed under the given operation 1 integers under division 2 negative integers under subtraction 3 odd integers under multiplication?
1 No. 2 No. 3 Yes.
Are negative integers closed under multiplication?
No.
Is set of integers closed under multiplication?
Yes!
Is the set of integers closed under multiplication?
Yes!
Why are odd integers closed under multiplication but not under addition?
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
Is the set of even integers closed under multiplication?
Yes
Is set of integers is a field?
The set of integers is not closed under multiplication and so is not a field.
What does it mean if an integer is closed?
You don't say that "an integer is closed". It is the SET of integers which is closed UNDER A SPECIFIC OPERATION. For example, the SET of integers is closed under the operations of addition and multiplication. That means that an addition of two members of the set (two integers in this case) will again give you a member of the set (an integer in this case).
How are the rules for multiplication and division integers the same?
They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.
Is the set of negative integers closed under multiplication real numbers?
No, it is not.
Is the set of even integers closed under addition and multiplication?
Yes.
What is the set of whole numbers closed by?
If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.
