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What is the rule of addition of integers?
negetive integers are not closed under addition but positive integers are.
Is the set of integers closed under addition?
Yes it is.
Are all integers closed under addition?
Yes, all integers are closed under addition. This means that when you add any two integers together, the result is always another integer. For example, adding -3 and 5 yields 2, which is also an integer. Therefore, the set of integers is closed under the operation of addition.
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.
What is the rule of addition of integers?
negetive integers are not closed under addition but positive integers are.
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.
ARe odd integers not closed under addition?
That is correct, the set is not closed.
Is the set of integers closed under addition?
Yes it is.
Under which operation is the set of odd integers closed?
addition
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.
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).
What does it mean to say that integers are closed under addition?
Any time you add integers, the sum will be another integer.
Is the set of negative integers is closed under addition?
No, the set of negative integers is not closed under addition. When you add two negative integers, the result is always a negative integer. However, if you add a negative integer and a positive integer, the result can be a positive integer, which is not in the set of negative integers. Thus, the set does not satisfy the closure property for addition.
Give example of closure property?
Add two positive integers and you ALWAYS have a positive integers. The positive integers are closed under addition.
Why the set of odd integers under addition is not a group?
Because the set is not closed under addition. If x and y are odd, then x + y is not odd.
