0
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).
What else can I help you with?
What does s-p interval mean?
S-P interval means the integer minus the integer. The difference times nine.
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 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.
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.
Are all integers closed under division?
No, integers are not closed under division. When you divide one integer by another, the result is not always an integer; for example, dividing 1 by 2 yields 0.5, which is not an integer. Therefore, the set of integers is not closed under the operation of division.
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.
Is an integer still an integer when it is subtracted from an integer?
Yes, when an integer is subtracted from another integer, the result is still an integer. This is due to the closure property of integers, which states that the set of integers is closed under subtraction. Therefore, any operation involving two integers, such as subtraction, will yield another integer.
Is the set of negative integers is closed under addition?
No, the set of negative integers is not closed under addition. When you add two negative integers, the result is always a negative integer. However, if you add a negative integer and a positive integer, the result can be a positive integer, which is not in the set of negative integers. Thus, the set does not satisfy the closure property for addition.
Is it true that square of an integer will always be an integer?
Yes, it is true that the square of an integer will always be an integer. When you multiply an integer by itself, the result is an integer, as the set of integers is closed under multiplication. For example, squaring the integers 2 and -3 yields 4 and 9, respectively, both of which are integers.
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.
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.
What operation is the set of negative rational integers closed?
The set of negative rational integers is closed under the operations of addition and multiplication. This means that when you add or multiply any two negative rational integers, the result will also be a negative rational integer. However, it is not closed under subtraction, as subtracting a larger negative integer from a smaller one can result in a non-negative integer.
Are the integers closed under multiplication?
Yes, the integers are closed under multiplication. This means that when you multiply any two integers together, the result is always an integer. For example, multiplying -3 and 4 yields -12, which is also an integer. Therefore, the set of integers is closed under the operation of multiplication.
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.
