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Earn +20 ptsQ: Why are natural numbers not under addition?
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Is there a subset of the natural numbers that is closed for addition?
Yes. The entire set of natural numbers is closed under addition (but not subtraction). So are the even numbers (but not the odd numbers), the multiples of 3, of 4, etc.
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.
Which set of numbers is closed under addition?
Natural (ℕ), integer (ℤ), rational (ℚ), real (ℝ) and complex (ℂ) numbers are all closed under addition.
What is the number of protons plus the number of neutrons in an atom always a whole number?
The two are counts and so natural numbers. The set of natural numbers is closed under addition.
When are complex numbers closed under addition?
Quite simply, they are closed under addition. No "when".
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