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Korolek [52]
3 years ago
15

Which of the following sets are closed under multiplication? Select all that apply.

Mathematics
2 answers:
ikadub [295]3 years ago
8 0
Integers, polynomials and whole numbers are closed under multiplication
ivolga24 [154]3 years ago
4 0

Answer:

Integers, whole numbers and polynomials are sets of closed under multiplication.

Only Irrational numbers are not the sets of closed under multiplication.                  

Step-by-step explanation:

To find : Which of the following sets are closed under multiplication?

1. Integers  

Yes, integers is a sets of closed under multiplication as if you multiply an integer by an integer, you will always get another  integer.

Example - 3\times 3=9 is an integer

2. Irrational numbers


No, irrationals are not closed under multiplication.

Example - \sqrt{3} \times \sqrt{3} =3 is a rational number

3. Whole numbers


Yes, whole numbers is a sets of closed under multiplication as if you multiply a whole number by a whole number, you will always get another  whole number.

Example - 5\times 5=25 is a whole number

4. Polynomials

Yes, polynomial is sets of closed under multiplication as if you multiply the variables' exponents are added, and the exponents in polynomials are whole numbers so the new exponents will be whole numbers.

Example - (x + 1)(x^2 + 4x + 3) = x^3 + 5x^2 + 7x + 3 is a polynomial.


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Whole numbers are not closed under division because 5/3 will produce a number that is not a whole integer.

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