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Natural (ℕ), integer (ℤ), rational (ℚ), real (ℝ) and complex (ℂ) numbers are all closed under addition.

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โˆ™ 2012-09-23 06:11:56
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: Which set of numbers is closed under addition?
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Related questions

What is closed and not-closed under addition?

The set of even numbers is closed under addition, the set of odd numbers is not.


Is the set of real numbers closed under addition?

Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.


Is a rational number closed under addition?

No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.


Are the set of rational numbers closed under addition?

Yes, the set is closed.


Is the set of odd numbers closed under addition?

no


Is the set of irrational numbers closed under addition?

no it is not


Is the set of rational numbers closed under addition?

Yes, it is.


Is this set of negative numbers closed under multiplication or addition?

Yes. The empty set is closed under the two operations.


What is the set of whole numbers closed by?

If you mean the set of non-negative integers ("whole numbers" is a bit ambiguous in this sense), it is closed under addition and multiplication. If you mean "integers", the set is closed under addition, subtraction, multiplication.


What answer choice shows that the set of irrational numbers is not closed under addition?

Hennd


What set is not closed under addition?

The set of all odd numbers. 1+1=2


Are rational numbers are closed under addition subtraction division or multiplication?

The set of rational numbers is closed under all 4 basic operations.


Is the set of odd numbers is closed under multiplication but is not under addition?

Let + (addition) be a binary operation on the set of odd numbers S. The set S is closed under + if for all a, b ϵ S, we also have a + b ϵ S. Let 3, 5 ϵ the set of odd numbers 3 + 5 = 8 (8 is not an odd number) Since 3 + 5 = 8 is not an element of the set of the odd numbers, the set of the odd numbers is not closed under addition.


Is the sum of rational numbers always rational?

Yes. In general, the set of rational numbers is closed under addition, subtraction, and multiplication; and the set of rational numbers without zero is closed under division.


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.


Can you add two rational numbers and get an irrational number?

No. The set of rational numbers is closed under addition (and multiplication).


Is the set of all complex numbers x that have absolute value 1 closed under addition?

No.


What is always true about whole numbers?

They form a closed set under addition, subtraction or multiplication.


Can the sum of two rational numbers always be written as a fraction?

Yes, the set of rational numbers is closed under addition.


Why is a set of real numbers closed under addition?

Because adding any set of real numbers together will result in another real number.


ARe odd integers not closed under addition?

That is correct, the set is not closed.


Is the set of integers closed under addition?

Yes it is.


Is the set of whole numbers closed under addition?

certainly - the sum of two whole nos. is again a whole no.


Closure property of addition in brief?

The closure property of addition says that if you add together any two numbers from a set, you will get another number from the same set. If the sum is not a number in the set, then the set is not closed under addition.


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.