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No.
Closure under multiplication is a property of a set of numbers. It requires that if x and y are elements of the set (not necessarily different), then x*y is also an element of the set.
If the set consists only of the number 5, ie S = {5}. Since 5 belongs to S, closure would require that 5*5 belongs to the set. It clearly does not and so the set cannot be closed.
What else can I help you with?
Are prime numbers is closed under multilplication?
By definition, a product of two primes has atwo factors (other than 1 and itself) and so it cannot be prime. So the set is not closed.
Is the set of multiples of 5 closed under division?
No.
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.
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 the set of odd numbers is closed under multiplication but is not under addition?
Let + (addition) be a binary operation on the set of odd numbers S. The set S is closed under + if for all a, b ϵ S, we also have a + b ϵ S. Let 3, 5 ϵ the set of odd numbers 3 + 5 = 8 (8 is not an odd number) Since 3 + 5 = 8 is not an element of the set of the odd numbers, the set of the odd numbers is not closed under addition.
When are complex numbers closed under addition?
Quite simply, they are closed under addition. No "when".
Are prime numbers closed under addition?
no, not all prime numbers are closed under addition. why? because, when you add 2 prime numbers you will not always get a prime number. example: 5+3= 8 5 and 3 are prime numbers but their sum is 8 which is a composite number..
What does this mean Which set of these numbers is closed under subtraction?
It means whatever members of the set you subtract, the answer will still be a member of the set. For example, the set of positive integers is not closed under subtraction, since 3 - 8 = -5
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.
What is a counterexample to the set of negative numbers is closed under subtraction?
-2 - (-5) = -2 + +5 = +3. (+3 is not in the set of negative numbers.)
Are polynomial expressions closed under subtraction?
Yes they are closed under multiplication, addition, and subtraction.
Are decidable languages closed under concatenation?
Yes, decidable languages are closed under concatenation.
