Math and Arithmetic
Numbers
Irrational Numbers

# Is 2 pi a rational number?

313233 ###### 2010-11-24 00:19:39

No, since Pi is an irrational number, 2(pi) would still be irrational.

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## Related Questions No. pi/2 is a faction but it is not a rational number.  (pi) itself is an irrational number. The only multiples of it that can be rational are (pi) x (a rational number/pi) . 3.14 is a rational number pi is not. pi is not 3.14  No. A fraction such as pi/2 is not a rational number.   If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number. A rational number is a fraction with an integer in the numerator, and a non-zero integer in the denominator. If you consider pi/2, pi/3, pi/4 (common 'fractions' of pi used in trigonometry) to be 'fractions', then these are not rational numbers. I assume you mean 2 times pi. Since pi is irrational, 2 pi is also irrational.  It the radius is r then the area is pi*r*r - which is pi times a rational number. pi is an irrational number, so the multiple of pi and a rational number is irrational. A real number dosen't have to be a rational number as a real number can be rational or irrational i.e the root of 2 is irrational and real. So is (pi).  Yes. 2 x 3.14 = 6.28 = 6 7/25 = 157/25 which is rational. If you are using 3.14 as an approximation to {pi}, then 2 x {pi} is not rational. Any multiple of or addition to or subtraction from PI is an irrational number. PI divided by PI is 1, a rational number. So is PI times 0 = 0 Minus pi. Or minus pi plus any rational number. Here is how you can figure this out (call your unknown number "x", and let "r" stand for any rational number):x + pi = r To solve for "x", simply subtract pi from both sides. That gives you: x = r - pi A rational number, by definition, is a number that can be written as a fraction. So, yes, 7/2 is a rational number An example of an irrational number would be pi, which cannot be expressed as a fraction. Any negative number that can be written as a fraction is rational. For example, -1 and -1/2 are both rational, but negative Pi isn't. No 10*pi is not a rational number because it can't be expressed as a fraction A rational number is any number that can be written as a fraction. 2 can be written as (2/10 or (4/2) or (10/5) and so on, so it is a rational number.&#9668; An example of a number than cannot is &radic;2 or (pi), so are called irrational. Assuming that you mean pi, and not pie, it is not a rational number.The set of rational numbers is a field and this means that for every non-zero rational number, there exists a multiplicative inverse in the setand also, due to closure, the product of any two rational numbers is a rational number.Now suppose 7*pi were rational.7 is rational and so there is its multiplicative inverse, which is (1/7).(1/7) is also rational so (1/7)*(7*pi) is rationalBut by the associative property, this is (1/7*7)*pi = 1*pi = pi.But it has been proven that pi is irrational. Therefore the supposition must be wrong ie 7*pi is not rational. No 22*pi is not a rational number ###### Percentages, Fractions, and Decimal ValuesMath and ArithmeticNumbers Irrational NumbersGeometry Copyright © 2020 Multiply Media, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Multiply.