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Yes. That means that the product of two whole numbers is defined, and that it is again a whole number.

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โˆ™ 2014-01-20 17:47:10
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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: Are whole numbers closed with respect to multiplication?
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Related questions

Are whole numbers closed for multiplication?

no


Is the set of whole numbers closed under multiplication?

Yes.


Are whole numbers closed under the operations of multiplication?

Yes.


Is the set of whole numbers are closed under multiplication?

If you can never, by multiplying two whole numbers, get anything but another whole number back as your answer, then, YES, the set of whole numbers must be closed under multiplication.


Are the sums and products of whole numbers always whole numbers?

Yes, the whole numbers are closed with respect to addition and multiplication (but not division).The term "whole numbers" is not always consistently defined, but is usually taken to mean either the positive integers or the non-negative integers (the positive integers and zero). In either of these cases, it also isn't closed with respect to subtraction. Some authors treat it as a synonym for "integers", in which case it is closed with respect to subtraction (but still not with respect to division).


Which set of numbers forms a field with respect to the operations of addition and multiplication?

whole numbers


What operation are whole numbers closed under?

l think multiplication


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.


Why are odd integers closed under multiplication but not under addition?

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


What is the principle of closure math?

When you combine any two numbers in a set the result is also in that set. e.g. The set of whole numbers is closed with respect to addition, subtraction and multiplication. i.e. when you add, subtract or multiply two numbers the answer will always be a whole number. But the set of whole numbers is NOT closed with respect to division as the answer is not always a whole number e.g. 7÷5=1.4 The answer is not a whole number.


What is always true about whole numbers?

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


Is the set of even whole numbers closed under multiplication?

Yes, it is closed. This means that if you multiply two even number, you again get a number within the set of even numbers.


Why are whole numbers closed under multiplication?

Because if X and Y are any two whole number, then X*Y is also a whole number. Always.


Is multiplication of whole numbers associative?

Yes.


Is the set of whole numbers with 31 removed closed under the operation of multiplication?

No. Since -1 x -31 (= 31) would not be in the set.


Is multiplication of a whole number associative?

Yes. Multiplication of integers, of rational numbers, of real numbers, and even of complex numbers, is both commutative and associative.


How do you do multiplication whole numbers?

Multiplication is nothing but repeated addition.We multiply whole numbers by referring to their multiplication tables and also by multiplying first the layer digit, then carrying off and then multiplying all the digits successively.


Is 1 the identity element or a whole number?

1 is a whole number. It is the identity element with respect to multiplication but not addition.


Are whole numbers closed under the operations of addition?

Yes. When you add any whole numbers you get another whole number. That is what closed means in this context. The answer is still a whole number.


Is the set of whole numbers closed under subtraction?

It depends on your definition of whole numbers. The classic definition of whole numbers is the set of counting numbers and zero. In this case, the set of whole numbers is not closed under subtraction, because 3-6 = -3, and -3 is not a member of this set. However, if you use whole numbers as the set of all integers, then whole numbers would be closed under subtraction.


Why do whole number require an extension?

The set of whole numbers is not closed under division (by non-zero whole numbers).


What is an example of whole numbers are closed under division?

The whole numbers are not closed under division! The statement is false since, for example, 2/3 is not a whole number.


Are the whole numbers closed under addition?

Yes.


Are whole numbers closed under addition?

Yes they are.


What is the operations of integers?

They are whole numbers used in division, multiplication, addition and subtraction.