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Answered 2012-06-16 11:41:38

No. It is not a group.

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Which operation used to close the set of positive even integers?

1) addition


Why is a set of positive integers not a group under the operation of addition?

The set of positive integers does not contain the additive inverses of all but the identity. It is, therefore, not a group.


What is the addition of integers?

the addition of integers is when adding negative and positive integers


What is the rule of addition of integers?

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


Give example of closure property?

Add two positive integers and you ALWAYS have a positive integers. The positive integers are closed under addition.


Explain if the commutative property of addition applies when you add two negative integers?

The commutative property holds for all numbers under addition, regardless of whether they are positive or negative - the sign of the number stays with the number, for example: -2 + 5 = (-2) + 5 = 5 + (-2) = 5 + -2 -2 + -5 = (-2) + (-5) = (-5) + (-2) = -5 + -2 Subtraction is not commutative, but when subtraction is taken as adding the negative of the second number, the commutative property of addition holds, for example: 5 - 2 ≠ 2 - 5 but: 5 - 2 = 5 + -2 = 5 + (-2) = (-2) + 5 = -2 + 5


What is an example of two positive integers always positive?

Addition is an example.


What are the rules in addition and subtraction integers?

The rules for addition are as follows:The sum of two negative integers is a negative integerThe sum of two positive integers is a positive integerThe rules for subtraction are as follows:If they are two positive numbers, do it normallyIf there is a negative and a positive ,change it to addition and switch the SECOND integer sign


When you add two positive integers their sum is always a positive integers when you subtract two positive integers is their difference always a positive integer?

diffrence will always be positive except when it is zero but is you speak of substraction operation it can be positive negative or zero


What are properties of addition?

There are two properties of addition. The COMMUTATIVE property states that the order in which the addition is carried out does not matter. In symbolic terms, a + b = b + a The ASSOCIATIVE property states that the order in which the operation is carried out does not matter. Symbolically, (a + b) + c = a + (b + c) and so, without ambiguity, either can be written as a + b + c. That is IT. No more! The DISTRIBUTIVE property is a property of multiplication over addition (OR subtraction), not a property of addition. The existence of of an IDENTITY and an ADDITIVE INVERSE are properties of the set over which addition is defined; again not a property of addition. For example, you can define addition on all positive integers which will have the commutative and associative properties but the identity (zero) and additive inverses (negative numbers) are undefined as far as the set is concerned.


What is three properties of addition?

There are two properties of addition. The COMMUTATIVE property states that the order in which the addition is carried out does not matter. In symbolic terms, a + b = b + a The ASSOCIATIVE property states that the order in which the operation is carried out does not matter. Symbolically, (a + b) + c = a + (b + c) and so, without ambiguity, either can be written as a + b + c. That is IT. No more! The DISTRIBUTIVE property is a property of multiplication over addition (OR subtraction), not a property of addition. The existence of of an IDENTITY and an ADDITIVE INVERSE are properties of the set over which addition is defined; again not a property of addition. For example, you can define addition on all positive integers which will have the commutative and associative properties but the identity (zero) and additive inverses (negative numbers) are undefined as far as the set is concerned.


What are number integers?

Integers are the positive and negative whole numbers with the addition of 0. The positive integers are the numbers 1, 2, 3, 4, 5, 6, etc. The negative integers are the numbers -1, -2, -3, -4, -5, -6, etc. 0 is neither positive or negative.any whole number that is positive, negative, or the number 0


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 are non positive integers?

Non-positive integers are zero and the negative integers.


What is the property of addition?

Addition isassociative: a + (b + c) = (a + b) + c and so both can be written as a + b + c without ambiguity,commutative: a + b = b + aThere are other properties, such as closure, identity and invertibility which depend on the domain over which addition is defined. For example, over the set of positive integers, there is no identity nor invertibility. If 0 is included, then there is an identity but still no invertibility.


What is the distributive property the commutative property the associate property and the identity property?

The COMMUTATIVE property states that the order of the arguments of an operation does not matter. In symbolic terms, for elements a and b and for the operation ~, a ~ b = b ~ a The ASSOCIATIVE property states that the order in which the operation is carried out does not matter. Symbolically, for elements a, b and c, (a ~ b) ~ c = a ~ (b ~ c) and so, without ambiguity, either can be written as a ~ b ~ c. The DISTRIBUTIVE property is a property of two operations, for example, of multiplication over addition. It is not the property of a single operation. For operations ~ and # and elements a, b and c, symbolically, this means that a ~ (b # c) = a ~ b # a ~ c. The existence of an IDENTITY is a property of the set over which the operation ~ is defined; not a property of operation itself. Symbolically, if the identity exists, it is a unique element, denoted by i, such that a ~ i = a = i ~ a for all a in the set. For example, you can define addition on all positive integers which will have the commutative and associative properties but the identity (zero) and additive inverses (negative numbers) are undefined as far as the set is concerned. I have deliberately chosen ~ and # to represent the operations rather than addition or multiplication because there are circumstances in which these properties do not apply to multiplication (for example for matrices), and there are many other operations that they can apply to.


How do you compare integers with positive numbers?

Some integers are positive numbers.Some integers are not positive numbers.Some positive numbers are integers.Some positive numbers are not integers.They are two sets whose intersection is the set of counting numbers.


When the negative integers the positive integers and 0 are combined the integers are formed?

Negative integers, zero and the positive integers, together form the set of integers.


Is there negative counting in neet?

No NEETs are counted using positive integers.No NEETs are counted using positive integers.No NEETs are counted using positive integers.No NEETs are counted using positive integers.


Is the sum of two positive integers positive or negative?

The sum of two positive integers is always positive.


Are all integers positive?

The set of integers includes negative integers as well as positive integers. It also includes the number zero which is neither negative nor positive.


Are 0 0.25 and 2.6 positive integers?

No, none of them are positive integers.


What is b and a if both are positive integers but a does not equal b?

Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.Then they are, simply, two different integers. Any two positive integers will do, according to the specification.


What is the formation of negative and positive integers?

The pl sign for positive integers and the minus sign for negative integers.


How do divide integers?

* The quotient of two positive integers or two negative integers is positive. * The quotient of a positive integer and a negetive integer is negetive.


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