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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
What is that answer to all of the even numbers under 50 added together?
600
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 is the answer always a whole number when the sum of two digits under 10 are added together?
This follows from the property that the set of integers is closed under addition. This means that any two integers, when added together, must always result in a whole number.
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.
Three prime numbers under 30 whose product equals 1955?
5 * 17 * 23 =1955
Why is a set of real numbers closed under addition?
Because adding any set of real numbers together will result in another real number.
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
What 3 numbers under 10 added together equal 16?
9, 1, 6 or 9, 2, 5 or 9, 3, 4 or 8, 4, 4 or 8, 3, 3 or 8, 2, 6 or 8, 1, 7 theres more as well
Are irrational numbers closed under multiplication?
No. To say a set is closed under multiplication means that if you multiply any two numbers in the set, the result is always a member of the set. If, say, the 2 numbers are radical 2 and radical 2 we have (1.4142...)(1.4142...) which by definition equals 2. The result is not an irrational number, so the set is not closed.
How do you simplify the square root of 308?
Break 308 down into an equation that multiplies prime numbers together that equals 308. In the example, it would be the square root of (2x2x7x11). Because there are two 2's in the equation, pull them out from under the square root symbol. Then you have 2sqrt(7x11). Because there are no more doubles under the square root symbol, the simplified form of sqrt(308) is 2sqrt(77). This is how I simplify radicals. Usually I just (if it's an even number) divide by two until I can't anymore, then divide by 3, and simplify from there. Whenever you get two of the same numbers, pull them outside the square root. Any numbers that don't have doubles stay under the square root, and are multiplied together.
