Is a number divided by zero irrational?

Updated: 4/28/2022
User Avatar

Wiki User

13y ago

Best Answer

That is not what mathematicians mean by an irrational number, which is a number with an infinitely long decimal expansion. You will note that since division is the inverse of multiplication, dividing by small numbers has the same effect as multiplying by large numbers, and so dividing by zero, which is an infinitely small number, is equivalent to multiplying by infinity. The result in most cases is deemed to have no mathematical meaning.

User Avatar

Wiki User

13y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is a number divided by zero irrational?
Write your answer...
Still have questions?
magnify glass
Related questions

What happens when a rational number is divided by an irrational number?

When a rational numbers is divided by an irrational number, the answer is irrational for every non-zero rational number.

What is ten divided by zero?

An irrational number. Nothing may be rationally divided by zero.

Can An irrational number divided by an irrational number equals a rational number?

Yes. Any irrational number can be divided by itself to produce 1, which is a rational number.

When an irrational number is divided by a rational number is the quotient rational or irrational?


Which number produces an irrational number when multiplied by?

At least one of the factors has to be irrational.* An irrational number times ANY number (except zero) is irrational. * The product of two irrational numbers can be either rational or irrational.

Irrational number when multiplied by 0.4?

If you multiply an irrational number by ANY non-zero rational number, the result will be irrational.

Is the product of a rational number and an irrational number rational or irrational?

Such a product is always irrational - unless the rational number happens to be zero.

Can an irrational number divided by an irrational number equals an irrational number?

Yes, an irrational number divided by an irrational number will usually be an irrational number, but not always. For example, pi / (3pi) is 1/3, which is a rational number, but pi/e is an irrational number.

How do you find an irrational no between 0.365789 and 0.365478?

Find the difference between the two numbers, then add an irrational number between zero and one, divided by this difference, to the lower number. Such an irrational number might be pi/10, (square root of 2) / 2, etc.

Can irrational and rational numbers be divided?

You can divide any real number by any other real number, as long as you don't divide by zero.

What is the result of an irrational number times an rational number?

Unless the rational number is zero, the answer is irrational.

Is zero ever an irrational number?