Want this question answered?
Be notified when an answer is posted
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
Quite simply, they are closed under addition. No "when".
Yes they are closed under multiplication, addition, and subtraction.
Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.
It is not closed under taking square (or other even) roots.
;: Th. Closed under union, concatenation, and Kleene closure. ;: Th. Closed under complementation: If L is regular, then is regular. ;: Th. Intersection: .
No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.
The set of even numbers is closed under addition, the set of odd numbers is not.
Quite simply, they are closed under addition. No "when".
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
Yes they are closed under multiplication, addition, and subtraction.
Yes. They are closed under addition, subtraction, multiplication. The rational numbers WITHOUT ZERO are closed under division.
Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.
Yes, the set of integers is closed under subtraction.
It is not closed under taking square (or other even) roots.
A set can be closed or not closed, not an individual element, such as zero. Furthermore, closure depends on the operation under consideration.
Is { 0, 20 } closed under multiplication