Yes. The empty set is closed under the two operations.
No.
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.
Yes.
Yes. The empty set is closed under the two operations.
The set of rational numbers is closed under all 4 basic operations.
No.
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.natural numbers are closed under multiplication.It means when the operation is done with natural numbers in multiplication the sum of two numbers is always the natural number.
The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.
Yes.
Yes.
Irrational numbers are not closed under any of the fundamental operations. You can always find cases where you add two irrational numbers (for example), and get a rational result. On the other hand, the set of real numbers (which includes both rational and irrational numbers) is closed under addition, subtraction, and multiplication - and if you exclude the zero, under division.
IS natural numbers are closed under multiplication? Please answer as soon as possible. Thank You!
Yes.
yes