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Are negative integers closed under multiplication?
No.
Are any of these sets closed under multiplication?
To determine if a set is closed under multiplication, we need to check if the product of any two elements from the set is also an element of the same set. For example, the set of integers is closed under multiplication because the product of any two integers is always an integer. In contrast, the set of natural numbers is also closed under multiplication, while the set of rational numbers is closed under multiplication as well. However, sets like the set of positive integers and the set of even integers are also closed under multiplication.
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.
Is the set of even integers closed under addition and multiplication?
Yes.
Are negative integers closed under multiplication?
No.
Are any of these sets closed under multiplication?
To determine if a set is closed under multiplication, we need to check if the product of any two elements from the set is also an element of the same set. For example, the set of integers is closed under multiplication because the product of any two integers is always an integer. In contrast, the set of natural numbers is also closed under multiplication, while the set of rational numbers is closed under multiplication as well. However, sets like the set of positive integers and the set of even integers are also closed under multiplication.
Is the set of integers closed under multiplication?
Yes!
Is 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.
Is the set of even integers closed under addition and multiplication?
Yes.
Is the set of negative integers closed under multiplication real numbers?
No, it is not.
Is the set of all integers closed under the operation of multiplication?
Yes.
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.
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.
