answersLogoWhite

0


Best Answer

Infinity is not a number in the ordinary sense of the word.

User Avatar

Wiki User

โˆ™ 2017-02-20 11:45:44
This answer is:
User Avatar
Study guides

hio

โžก๏ธ
See all cards
3.14
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
133 Reviews
More answers
User Avatar

Wiki User

โˆ™ 2017-11-21 02:16:45

Infinity is not a number.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Is infinity a rational number
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Basic Math

Is there a smallest positive rational number?

1/infinity? * * * * * Nice idea but unfortunately that is not a rational number, which is defined as the ration of two integers, x/y where y > 0. Since infinity is not an integer, the suggested ratio is not a rational number. The correct answer is that there is no such number. If any number laid claim to being the smallest positive rational, then half of that number would have a better claim. And then a half of THAT number would be a positive rational that was smaller still. And so on.


Is 1.234 is a not rational number?

It is a rational number


Is the product of a rational number and a rational number a rational number?

yes


Is the set of all rational numbers continuous?

Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.Continuity is a characteristic of functions not of sets.The set of rational number is infinitely dense. This means that between any two rational numbers, no matter how close together, there are infinitely many rational numbers. And then, between any two of them these is an infinte number of rational numbers, and so on.But, in case that gives you any wrong ideas, between any two rational numbers there is an even higher order of infinity of irrational numbers. In that respect the number of gaps in the set of rational numbers (where the irrational numbers would be) is greater than the cardinality of rational numbers.


Is a rational number multiplied a rational number rational?

Yes.

Related questions

Which is the biggest rational number?

Infinity


Is a real number sometimes a rational number?

Infinitely rarely, a real number is also a rational number. (There are an infinite number of rational numbers, but there are a "much bigger infinity" of real numbers.)


Is there a smallest positive rational number?

1/infinity? * * * * * Nice idea but unfortunately that is not a rational number, which is defined as the ration of two integers, x/y where y > 0. Since infinity is not an integer, the suggested ratio is not a rational number. The correct answer is that there is no such number. If any number laid claim to being the smallest positive rational, then half of that number would have a better claim. And then a half of THAT number would be a positive rational that was smaller still. And so on.


What is the Next to rational and irrational number?

Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).


Are there more rational numbers or irrational Numbers?

No. The number of irrationals is an order of infinity greater.


Is every real number either a rational number or a irrational number?

Yes. A real number is any comprehendable number, from negative infinity to positive infinity. A rational number is any number that can be the answer to a division equation; an integer, fraction, or a decimal. An irrational number is any number that cannot be expressed as a fraction; such as exponents.


What is the thinking about The density of numbers on the number line of rational and irrational number?

There are countably infinite rational numbers. That is, it is possible to map each rational number to an integer so that the set has the same number of elements as all integers. This is the lowest order or infinity, Aleph-null. The number of irrationals is a higher order of infinity: 2^(Aleph-null). This is denoted by C, for continuum. There are no orders of infinity between Aleph-null and C.


Is there more rational numbers then irrational?

No. There are infinitely many of both but the number of irrational numbers is an order of infinity greater than that for rational numbers.


Why the denominator of rational number should not be equal to zero?

To divide any number by zero will give infinity and therefore an error.


Is 100000000000.2 a rational number?

Yes, any number whose decimal terminates or has repeating decimals to infinity is a rational number. More precisely, any number that can be expressed as a fraction between two integers is a rational number. In this case 100000000000.2 = 1000000000002/10, or 500000000001/5.


Is There fewer rational numbers than irrational numbers.?

Yes. The infinity of rational numbers has the same size as the natural numbers, said to be "countable". The infinity of real numbers (and therefore, also of irrational numbers) is a larger infinity, said to be "uncountable".


What are irrational and rational numbers?

A rational number can be expressed as a fraction a/b, where a and b are integers. This includes the integers themselves, that can be expressed as (number) / 1. An irrational number is one that can't be exactly expressed in this way. This includes the square roots of any integer that is not a perfect square; pi; and e - and a host of other numbers. There are more rational than irrational numbers (rational numbers are a countable infinity", and irrational numbers an "uncountable infinity"), but we usually deal mainly with rational numbers - or use rational approximations for the numbers we deal with.

People also asked