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The closure property is an attribute of a set with respect to a binary operation, not only a binary operation.

A set S is closed with respect to multiplication if, for any two elements, x and y, belonging to S, x*y also belongs to S.

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Related Questions

Which property of polynomial multiplication says that the product of two polynomials is always a polynomial?

That property is called CLOSURE.


Which of the basic rules of arithmetic are true when you restrict the number system to the positive integers?

Closure with respect to addition and multiplication. Cummutative, Associative properties of addition and of multiplication. Distributive property of multiplication over addition.


How you do Multiplication property?

The multiplication properties are: Commutative property. Associative property. Distributive property. Identity property. And the Zero property of Multiplication.


What are the properties of multipulcation?

They are the Associative Property of Multiplication, the Commutative Property of Multiplication, and the Zero Property of Multiplication.


How do you get closure?

In mathematics, closure is a property of a set, S, with a binary operator, ~, defined on its elements.If x and y are any elements of S then closure of S, with respect to ~ implies that x ~ y is an element of S.The set of integers, for example, is closed with respect to multiplication but it is not closed with respect to division.


Is closure property for division.?

No. Closure is the property of a set with respect to an operation. You cannot have closure without a defined set and you cannot have closure without a defined operation.


What is multiplication property of one?

It is called Identity Property of Multiplication


What is the meaning of identify property of multiplication?

it identify the multiplication in a whole set of the multiplication it express the property of it


What property of multiplication do you use to rename fractions?

Identity property of multiplication


Identity property multiplication?

meaning of identity property of multiplication


How do you solve an closure property?

To solve a closure property problem, first identify the set and the operation in question, such as addition, multiplication, or intersection. Then, take elements from the set and apply the operation to see if the result remains within the same set. If all possible combinations yield results within the set, the closure property holds; if any result falls outside the set, it does not. This process helps determine whether the set is closed under the specified operation.


Properties of number theory?

zero property of multiplication commutative property of multiplication identity property of addition identity prpertyof multiplication your welcome:-)