Q: Is the set of real numbers closed under multiplication?

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

No, it is not.

fgjkfnjgfngnfjngf djsngodsfnmfgo

The set of real numbers is closed under addition, subtraction, multiplication, and division (except that you cannot divide by zero). By closed, this means that if the two numbers in the operation are both real numbers, the result of the operation will always be a real number. Dividing by zero is undefined (for all practical purposes)

no

Real numbers are closed under addition and subtraction. To get a number outside the real number system you would have to use square root.

Related questions

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

No, it is not.

Because it is a product of real numbers. And the set of real numbers is closed under multiplication.

fgjkfnjgfngnfjngf djsngodsfnmfgo

Any set where the result of the multiplication of any two members of the set is also a member of the set. Well known examples are: the natural numbers (ℕ), the integers (ℤ), the rational numbers (ℚ), the real numbers (ℝ) and the complex numbers (ℂ) - all closed under multiplication.

Irrational numbers are not closed under any of the fundamental operations. You can always find cases where you add two irrational numbers (for example), and get a rational result. On the other hand, the set of real numbers (which includes both rational and irrational numbers) is closed under addition, subtraction, and multiplication - and if you exclude the zero, under division.

A set of real numbers is closed under subtraction when you take two real numbers and subtract , the answer is always a real number .

The set of real numbers is closed under addition, subtraction, multiplication, and division (except that you cannot divide by zero). By closed, this means that if the two numbers in the operation are both real numbers, the result of the operation will always be a real number. Dividing by zero is undefined (for all practical purposes)

yes because real numbers are any number ever made and they can be closed under addition

no

All real numbers are commutative under addition and multiplication.

Real numbers are closed under addition and subtraction. To get a number outside the real number system you would have to use square root.