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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
Is 0.152542384 a rational or irrational number?
0.152542384 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
Can we include irrational numbers in the set of positive numbers?
Yes, any positive number is a number that doesn't have a (-) behind it (-20; -23.67; -45.45454...), and is not zero (0).
Any repeating number (see 3rd negative example) is irrational, no matter what its sign. Irrational numbers also include numbers (decimals, specifically) that don't repeat, but don't stop. Numbers that don't terminate include pi.
Pi, as it is, is proof of a positive irrational number.
Is an integer similar to an irrational number?
No. An integer is any whole number, and they're all rational.
1 is rational. Rational numbers are numbers that can be written as a fraction. Irrational Numbers cannot be expressed as a fraction.
Is the number 36 squared in the set of rational numbers?
Yep, any rational number squared is also rational.
Is thirty thirds rational or irrational?
A rational number is one which can be expressed as one integer over another (possibly the same) integer which is not zero.
thirty thirds = 30/3 which is one integer over another integer → it is rational.
What is the irrational number that William shanks created?
William Shanks is not known to have created any number - rational or irrational. He did calculate pi to a greater degree of accuracy then previously but the number pi had been discovered around 4 thousand years before Shanks. Therefore it can hardly be said that he discovered it.
Why is five-seven rational but one-third is irrational?
Both are rational, so the question makes no sense.
What are the cyinders numbers on your 2003 f150 5.4?
passenger side of engine from front to rear 1 , 2 , 3 , 4 drivers side of engine from front to rear 5 , 6 , 7 , 8 The spark plug firing order is ( 1- 3 - 7 - 2 - 6 - 5 - 4 - 8 )
Are irrational numbers always non-terminating?
Yes. Any terminating number is rational.
(But some non-terminating numbers are rational too, like 1/3, 1/7, 1/9, etc.
Can a number be irrational and rational at the same time?
No they cant because that would be contradicting each other
( The numbers wont end and don't have a pattern but rational is the complete opposite)
Why can't an integer be irrational?
Any integer k can be written in the form k/1. Since it can be expressed as a ratio of two integers, it is rational.
Are all natrual numbers irrational?
Quite the opposite.
All natural numbers are rational.
None of them are irrational.
00000050005005 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.
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'.
