A set is closed under multiplication if for any two elements, x and y, in the set, their product, x*y, is also a member of the set.
No.
yes
Yes
Yes.
Yes, it is closed. This means that if you multiply two even number, you again get a number within the set of even numbers.
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.
Is { 0, 20 } closed under multiplication
No.
To determine if a set is closed under multiplication, we need to check if the product of any two elements from the set is also an element of the same set. For example, the set of integers is closed under multiplication because the product of any two integers is always an integer. In contrast, the set of natural numbers is also closed under multiplication, while the set of rational numbers is closed under multiplication as well. However, sets like the set of positive integers and the set of even integers are also closed under multiplication.
No.
No.
No.
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.
Yes!
Yes.
Yes.