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No. It is not a group.

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Q: Is the set of positive integers a commutative group under the operation of addition?
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Related questions

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.


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


Give example of closure property?

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


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


How is the subtraction of integers relate to the addition of integers subtraction?

they both have something to do with positive and negative


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.