0
Want this question answered?
Be notified when an answer is posted
Add your answer:
Earn +20 pts
Is a rational number closed under addition?
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
Are the set of rational numbers closed under addition?
Yes, the set is closed.
Is this set of negative numbers closed under multiplication or addition?
Yes. The empty set is closed under the two operations.
Is the set of integers closed under addition?
Yes it is.
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 closed and not-closed under addition?
The set of even numbers is closed under addition, the set of odd numbers is not.
Is a rational number closed under addition?
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
Is the set of real numbers closed under addition?
Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.
Are the set of rational numbers closed under addition?
Yes, the set is closed.
ARe odd integers not closed under addition?
That is correct, the set is not closed.
Is this set of negative numbers closed under multiplication or addition?
Yes. The empty set is closed under the two operations.
Is the set of odd numbers closed under addition?
no
Is the set of irrational numbers closed under addition?
no it is not
Is the set of integers closed under addition?
Yes it is.
What does it mean for a polynomial to be closed under addition subtraction and multiplication?
It means that you can do any of those operations, and again get a number from the set - in this case, a polynomial. Note that if you divide a polynomial by another polynomial, you will NOT always get a polynomial, so the set of polynomials is not closed under division.
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.
Under which operation is the set of odd integers closed?
addition
