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Earn +20 ptsQ: Is a set of natural numbers a group under the operation of addition?
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Continue Learning about Math & Arithmetic
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.
Are rational numbers under addition a group?
Yes.
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)
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