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Are the whole numbers closed under addition if so explain?
Yes because being closed under an operation means that when the operation is performed on members of a set the result is also a member of the set, and when any two [members of the set of] whole numbers are added together the result of the addition is also a whole number which is, unsurprisingly, a member of the set of whole numbers.
Why are even whole and natural numbers closed under addition?
For a set to be closed under an operation, doing the operations on any two members of the set must result in another member of the set.The set of even natural numbers is {2, 4, 6, ...}.When two even numbers are added, the result is also an even number.Adding two positive numbers results in a larger positive number.Thus, adding two even natural numbers together results in another even natural number and so is closed.The set of even whole numbers is {..., -6, -4, -2, 0, 2, 4, 6, ...}.When two even numbers are added, the result is also an even number.It does not matter which combination of positive and negative whole numbers are added as all positive and negative whole numbers (including zero) are in the set. Thus it is also closed under addition.
Is the set of all negative numbers closed under the operation of multiplication explain why or why?
No.When you multiply two negative numbers together, you do not get a negative number as the answer.
What is closure property addition of real numbers?
Real Numbers are said to be closed under addition because when you add two Real Numbers together the result will always be a Real Number.
If vector B is added to vector A under what circumstances does the resultant vector A plus B have magnitude A plus B. under what circumstances does the resultant vector equals to zero?
if b + a , since a+b equals b + a due to it being commutative . it shud have the same magnitude and direction
