answersLogoWhite

0


Best Answer

Addition, subtraction and multiplication.

User Avatar

Wiki User

โˆ™ 2015-02-07 20:06:35
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides

History study guides

1 card

hio

โžก๏ธ
See all cards
2.8
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
69 Reviews

Add your answer:

Earn +20 pts
Q: What operation are closed for integers?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Under which operation is the set of odd integers closed?

addition


Is the set of all integers closed under the operation of multiplication?

Yes.


Is the set of all negative integers closed for operation of addition?

yes


What does it mean if an integer is closed?

You don't say that "an integer is closed". It is the SET of integers which is closed UNDER A SPECIFIC OPERATION. For example, the SET of integers is closed under the operations of addition and multiplication. That means that an addition of two members of the set (two integers in this case) will again give you a member of the set (an integer in this case).


Are integers closed under division?

No. Integers are not closed under division because they consist of negative and positive whole numbers. NO FRACTIONS!No.For a set to be closed under an operation, the result of the operation on any members of the set must be a member of the set.When the integer one (1) is divided by the integer four (4) the result is not an integer (1/4 = 0.25) and so not member of the set; thus integers are not closed under division.


Which set is closed under the given operation 1 integers under division 2 negative integers under subtraction 3 odd integers under multiplication?

1 No. 2 No. 3 Yes.


Which sets of numbers are closed under subtraction?

To be closed under an operation, when that operation is applied to two member of a set then the result must also be a member of the set. Thus the sets ℂ (Complex numbers), ℝ (Real Numbers), ℚ (Rational Numbers) and ℤ (integers) are closed under subtraction. ℤ+ (the positive integers), ℤ- (the negative integers) and ℕ (the natural numbers) are not closed under subtraction as subtraction can lead to a result which is not a member of the set.


What are examples of the law of closure in Mathematics?

There is no law of closure. Closure is a property that some sets have with respect to a binary operation. For example, consider the set of even integers and the operation of addition. If you take any two members of the set (that is any two even integers), then their sum is also an even integer. This implies that the set of even integers is closed with respect to addition. But the set of odd integers is not closed with respect to addition since the sum of two odd integers is not odd. Neither set is closed with respect to division.


Is the collection of integers closed under subraction?

Yes, the set of integers is closed under subtraction.


What is the rule of addition of integers?

negetive integers are not closed under addition but positive integers are.


Are positive integers closed for multipication?

No, but they are closed for multiplication.


What is an counterexample of the set of negative integers is closed under the operation of taking the absolute value?

-3 is a negative integer. The absolute value of -3 is +3 which is not a negative integer. So the set is not closed.


What are the fundamental operation of integers?

I am not sure there are any fundamental operations of integers. The fundamental operations of arithmetic are addition, subtraction, multiplication and division. However, the set of integers is not closed with respect to division: that is, the division of one integer by another does not necessarily result in an integer.


ARe odd integers not closed under addition?

That is correct, the set is not closed.


What are the fundamental operations of integers?

fundamental operation is a ?


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.


Are integers closed under subtraction?

Yes.


Are positive integers closed under division?

No, they are not.


Are integers closed under addition?

yes


Are negative integers closed under multiplication?

No.


Is set of integers is a field?

The set of integers is not closed under multiplication and so is not a field.


Is the set of integers closed under multiplication?

Yes!


Is the set of integers closed under addition?

Yes it is.


Why is zero not closed under the operation of whole numbers?

A set can be closed or not closed, not an individual element, such as zero. Furthermore, closure depends on the operation under consideration.


Why are rational numbers not like integers?

The set of rational numbers is closed under division, the set of integers is not.