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The numbers are not closed under addition because whole numbers, even integers, and natural numbers are closed.

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โˆ™ 2011-03-06 23:31:45
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Algebra

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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: Why are odd integers closed under multiplication but not under addition?
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Related questions

Is the set of even integers closed under addition and multiplication?

Yes.


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.


Are negative integers closed under multiplication?

No.


Is the set of integers closed under multiplication?

Yes!


What is the rule of addition of integers?

negetive integers are not closed under addition but positive integers are.


What does it mean if an integer is closed?

You don't say that "an integer is closed". It is the SET of integers which is closed UNDER A SPECIFIC OPERATION. For example, the SET of integers is closed under the operations of addition and multiplication. That means that an addition of two members of the set (two integers in this case) will again give you a member of the set (an integer in this case).


Is the set of even integers closed under multiplication?

Yes


Are integers closed under addition?

yes


Is set of integers is a field?

The set of integers is not closed under multiplication and so is not a field.


Is the set of all integers closed under the operation of multiplication?

Yes.


Is the set of negative integers closed under multiplication real numbers?

No, it is not.


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.


How are the rules for multiplication and division integers the same?

They are not the same!The set of integers is closed under multiplication but not under division.Multiplication is commutative, division is not.Multiplication is associative, division is not.


Are polynomial expressions closed under subtraction?

Yes they are closed under multiplication, addition, and subtraction.


Under which operation is the set of odd integers closed?

addition


Are rational numbers closed under division multiplication addition or subtraction?

Rational numbers are closed under addition, subtraction, multiplication. They are not closed under division, since you can't divide by zero. However, rational numbers excluding the zero are closed under division.


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

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


Which set is closed under the given operation 1 integers under division 2 negative integers under subtraction 3 odd integers under multiplication?

1 No. 2 No. 3 Yes.


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.


What does it mean to say that integers are closed under addition?

Any time you add integers, the sum will be another integer.


Give example of closure property?

Add two positive integers and you ALWAYS have a positive integers. The positive integers are closed under addition.


Are rational numbers closed under subtraction?

Yes. They are closed under addition, subtraction, multiplication. The rational numbers WITHOUT ZERO are closed under division.


What is always true about whole numbers?

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


Are odd numbered sets closed under addition and multiplication?

No. 1 + 3 = 4, which is not odd. In fact, no pair of odds sums to an odd. So the set is not closed under addition.