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Irrational Numbers
An irrational number is a number that can't be expressed by a fraction having integers in both its numerator and denominator. While their existence was once kept secret from the public for philosophical reasons, they are now well accepted, yet still surprisingly hard to prove on an individual basis. Please post all questions about irrational numbers, including the famous examples of π, e, and √2, into this category.
3,962 Questions
No because it can be expressed as a fraction in the form of 4959/1000
Every real number is an irrational number?
No; most real numbers are rational, actually, except for some, most famously 'pi'.
Are all irrational numbers rational numbers?
No. In fact, a number cannot be both rational and irrational; they're mutually exclusive concepts.
Are irrational numbers negative?
Not necessarily. Negatives can be rational or irrational - each one is the same as its positive counterpart.
What do you mean of nonintegral rational numbers?
These are rational number that are not integers. In their simplest form, they are of the form a/b where a and b are integers and b is not 0 nor 1.
e (the euler number) is irrational. It has an infinite amount of non-repeating digits, so it can't be expressed as a fraction. (unless you count e/1, which you shouldn't)
How are irrational numbers different from other numbers?
A rational number can be expressed as a fraction, with whole numbers in the numerator and the denominator, for example 2/3, -3/4, or 5 (which is equal to 5/1).
An irrational number can not be expressed as such a fraction. For example, the square root of 2, the square root of any positive integer that is not a perfect square, pi, the number e.
Is 3\4 rational or irrational?
3/4 is a rational number because it can be written as a fraction. Even a big, clunky fraction like 7,324,908/56,003,492 is rational, simply because it can be written as a fraction.
How do rational numbers differ from irrational numbers?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Who was the first person to show that two is an irrational number?
No one has ever shown that 2 is an irrational number because it is rational.
-543 is rational. It is a whole number so it cannot be irrational.
What is an irrational and a rational number?
Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
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 are the 4 interprotaions of a rational number?
I regret that I cannot find any word in the English language that resembles "interprotaions" and therefore I am unable to answer your question.
What does the term irrational mean?
In mathematics it refers to a set of numbers which cannot be expressed as ratios of two integers.
What is an incredibly small number related to something in the real world?
Electrons are often assumed to be point particles. While it cannot be measured exactly, the upper limit of its radius has been estimated as 10-22 metres (100 septillionths of a metre). Of course, the same number would be even smaller if the value were expressed in kilometres (10-25 km).
Smaller still are lengths associated with the strings of string theory - hypothetical sub-atomic structures. The length of these strings are of the order of 1.6*10-35 metres.
What is the largest number that cannot be arrived by adding integers 5 8 and 19?
Are negative integers whole numbers?
Can't say exactly: According to Wikipedia [http://en.wikipedia.org/wiki/Whole_number] ...
Whole numbers may variously refer to:
- natural numbers beginning 1, 2, 3, ...; the positive integers
- natural numbers beginning 0, 1, 2, 3, ...; the non-negative integers
- all integers ..., -3, -2, -1, 0, 1, 2, 3, ...
Yes. A "whole number" is any number that is not a fraction -- that is, an integer -- regardless of sign.
