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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).

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Q: What does it mean if an integer is closed?
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True or False The set of whole numbers is closed under subtraction Why?

A set is closed under a particular operation (like division, addition, subtraction, etc) if whenever two elements of the set are combined by the operation, the answer is always an element of the original set. Examples: I) The positive integers are closed under addition, because adding any two positive integers gives another positive integer. II) The integers are notclosed under division, because it is not true that an integer divided by an integer is an integer (as in the case of 1 divided by 5, for example). In this case, the answer depends on the definition of "whole numbers". If this term is taken to mean positive whole numbers (1, 2, 3, ...), then the answer is no, they are not closed under subtraction, because it is possible to subtract two positive whole numbers and get an answer that is not a positive whole number (as in the case of 1 - 10 = -9, which is not a positive whole number)


What does s-p interval mean?

S-P interval means the integer minus the integer. The difference times nine.


What does closed mean in algebra?

Cloed means less than.


How do you write 28500 as a decimal number?

The number 28500 is an integer, so it is 28500.0000... . The zeros to the right mean it is an integer. The three dots mean the zeros continue forever (ad infinitude). If the number is not an integer, like 3 3/4, change the 3/4 to a decimal and add to 3: 3/4=.75, 3 3/4=3.75.


Is the set of integers closed under subtraction?

yes, because an integer is a positive or negative, rational, whole number. when you subject integers, you still get a positive or negative, rational, whole number, which means that under the closure property of real numbers, the set of integers is closed under subtraction.

Related questions

What does an integer plus another integer equal?

an integer plus and integer will always be an integer. We say integers are closed under addition.


What does it mean to say that integers are closed under addition?

Any time you add integers, the sum will be another integer.


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.


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.


Is 2 1517 an integer?

If you mean 21517 then it is an integer because it is a whole number. If you mean 2.1517 then it is not an integer because it is not a whole number.


Is the set of even integers closed under subtraction and division?

Subtraction: Yes. Division: No. 2/4 = is not an integer, let alone an even integer.


What does 4 mean in maths?

It is an integer which is the successor to the integer 3.


What an integer mean?

An integer is a whole number without fractions or decimals


Where does the word integer and what does it mean?

"Integer" comes from Latin and means "whole" or "intact."


What is an integer for 14?

i dont get what you mean because any number is an integer, technically...


Is 5 110 an integer?

If you mean 5110 then it is an integer because it is a whole number


Why are all the perfect squares are rational number?

A perfect square is a square of an integer.The set of integers is closed under multiplication. That means that the product of any two integer is an integer. Therefore the square of an integer is an integer.Integers are rational numbers so the square [which is an integer] is a rational number.