Math and Arithmetic

# Is 3 times pi over two rational?

No; since pi is irrational if you multiply it by a rational number it is still irrational

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No, it is not.

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## Related Questions

No because 15 times pi is an irrational number

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.

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

Consider pi and 4 - pi. 4 - pi + pi = 4, which is clearly rational. However, both pi and 4 - pi are irrational, as you can verify. plz to be lerning numburs Then consider pi + pi = 2pi, which is clearly irrational. The sum of two irrational numbers, therefore, may or may not be rational.

In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.

Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.

3 times pi is an irrational number because it can't be expressed as a fraction

No because the value of pi as regards to a circle is an irrational number

e^pi ~ 23.14069.............., not rational

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.

pi is an irrational number because it cannot be expressed as a ratio of two integers. In fact, it is a transcendental number, but that is not relevant here. 3.14 is a rational approximation to pi. It is not equal to pi.

3.14 is a rational number pi is not. pi is not 3.14

Pi is not rational it is irrational because it does not stop or repeat

(pi) itself is an irrational number. The only multiples of it that can be rational are (pi) x (a rational number/pi) .

I assume you mean 2 times pi. Since pi is irrational, 2 pi is also irrational.

No because it can't be expessed as a fraction

Any number times pi is irrational.

If you mean 0.3 times pi then it is an irrational number

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.

A rational number is able to be represented as a ratio of polynomials. pi/e is a ratio of irrational numbers, neither of which can be represented as a ratio of polynomials, and so I would conclude that pi/e is not rational. But it's a good question, because what if two irrational numbers could cancel out their irrationality, like two negative numbers! A quotient of two irrational numbers can be a rational number. Trivial example 2pi/pi = 2.

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