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It is not closed under taking square (or other even) roots.
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Are the set of rational numbers closed under addition?
Yes, the set is closed.
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 rational numbers closed under addtion?
Yes, it is.
Is the set of rational numbers closed under addition?
Yes, it is.
Are the set of rational numbers closed under division?
No, it is not. Division by zero (a rational) is not defined.
Is the sum of rational numbers always rational?
Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.
Are the set of rational numbers closed under addition?
Yes, the set is closed.
Why are rational numbers not like integers?
The set of rational numbers is closed under division, the set of integers 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.
Are rational numbers are closed under addition subtraction division or multiplication?
The set of rational numbers is closed under all 4 basic operations.
Is the set of rational numbers closed under multiplication?
yes
Is the set rational numbers closed under multiplication?
Yes, it is.
Is the set of rational numbers closed under addition?
Yes, it is.
Is the set of rational numbers closed under addtion?
Yes, it is.
Are the set of rational numbers closed under division?
No, it is not. Division by zero (a rational) is not defined.
Can you add two rational numbers and get an irrational number?
No. The set of rational numbers is closed under addition (and multiplication).
Under what operation is the set of positive rational numbers not closed?
Subtraction.
