# Math Algebra

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The natural numbers are closed under division. true or false?

the integers are closed under division.
true or false?

please explain, my teacher did not explain it at all!

• Math Algebra -

I quote from MathForum:
"A set of elements is closed under an operation if, when you apply the
operation to elements of the set, you always get another element of
the set."
Natural numbers are a set of integers including zero. Thus 0,4,10 are natural numbers, while 0.5, 3.14 are not.
If by doing a division, the results cannot be represented by a member of the set (of natural numbers), we say that natural numbers are not closed under division. Natural numbers are closed under addition because when we add together two natural numbers, we always get another natural numbers.

• Math Algebra -

huh?

• Math Algebra -

I hate math people that did not take it good luck

• Math Algebra -

Natural numbers are all whole numbers EXCLUDING 0

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