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Is a set of natural numbers a group under the operation of addition?
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Is the set of natural numbers closed under addition?
Yes, when you add any group of natural numbers, the sum will also be a natural number.
Do the complex numbers for a group under binary operation ' plus '?
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
Is the set of positive integers a commutative group under the operation of addition?
No. It is not a group.
What is a fraction operation that creates groups of numbers?
if you take a vector (= group of numbers) and you divide it by a scalar (=one number) then you get a vector (=group of numbers)
Are rational numbers under addition a group?
Yes.
Is the set of natural numbers closed under addition?
Yes, when you add any group of natural numbers, the sum will also be a natural number.
Do the complex numbers for a group under binary operation ' plus '?
Yes, the complex numbers, as well as the real numbers which are a subset of the complex numbers, form groups under addition.
What is ring and group in algebra?
Rings and Groups are algebraic structures. A Groupis a set of elements (numbers) with a binary operation (addition) that combines any two elements in the set to form a third element which is also in the set. The Group satisfies four axioms: closure, associativity, identity and invertibility. In addition, it is a Ring if it is Abelian group (that is, addition is commutative) and it has a second binary operation (multiplication) that is defined on its elements. This second operation is distributive over the first.
Is the set of positive integers a commutative group under the operation of addition?
No. It is not a group.
What is a fraction operation that creates groups of numbers?
if you take a vector (= group of numbers) and you divide it by a scalar (=one number) then you get a vector (=group of numbers)
Are rational numbers under addition a group?
Yes.
Is 100 and 200 a whole number or natural number?
They are both whole numbers (integers) and natural numbers.All natural numbers are integers, but integers is a larger group of numbers.The group consists of the natural numbers, zero and the whole negative numbers (e.g. '-4' and '-560').
Is set of real numbers a group?
The answer depends on the operation under consideration.
Is the set of rational numbers a commutative group under the operation of division?
No, it is not.
Give two reason for the set of odd integers is not a group?
Assuming that the question is in the context of the operation "addition", The set of odd numbers is not closed under addition. That is to say, if x and y are members of the set (x and y are odd) then x+y not odd and so not a member of the set. There is no identity element in the group such that x+i = i+x = x for all x in the group. The identity element under addition of integers is zero which is not a member of the set of odd numbers.
The GCF of a group of natural numbers the largest number that is a factor of all the numbers in a group?
Yes, that is true.
What group of real numbers will 9.34 go to?
A group containing 9.34 is a set of numbers, with some operation defined on the set that also satisfies:closure,associativity,identity, andinvertibility.Two simple groups will be the additive group of 9.34 and all its multiples (including negative ones). The identity is 0.The other is the multiplicative group consisting of all powers of 9.34 and the identity is 1.There can be a finite additive group derived from the first by defining the operation as modulo addition, and similarly with the multiplicative group.Finally, any group that contains one of these groups and also maintains the four conditions listed above, for example, all rational numbers, will also meet the requirements.
