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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).
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?
False. The set of whole numbers is not closed under subtraction. Closure under subtraction means that when you subtract two whole numbers, the result is also a whole number. However, this is not always the case with whole numbers. For example, subtracting 5 from 3 results in -2, which is not a 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.
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 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 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.
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 does 4 mean in maths?
It is an integer which is the successor to the integer 3.
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.
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 nonzero integers closed under division?
The set of nonzero integers is not closed under division. This is because dividing one nonzero integer by another can result in a non-integer. For example, ( 1 \div 2 = 0.5 ), which is not an integer. Therefore, the result of the division is not guaranteed to be a member of the set of nonzero integers.
