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Is pi divided by e 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.
Why is pi rational?
Pi is not rational it is irrational because it does not stop or repeat
Can the quotient of two irrational numbers be rational?
Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.
Is 5 times pi rational?
No, it is not.
If pi is irrational does that mean that pi divided by 2 is irrational?
Yes, it does. If Pi/2 were rational, it could be written as p/q, and then Pi could be written as 2p/q and would be rational as well.
How can you make rational of i power i?
It is NOT rational, but it IS real.Start with Euler's formula: e^ix = cos(x) + i*sin(x) for all x.When x = pi/2,e^(i*pi/2) = cos(pi/2) + i*sin(pi/2) = 0 + i*1 = ior i = e^(i*pi/2)Raising both sides to the power i givesi^i = e^[i*(i*pi/2)] = e^[i*i*pi/2]and since i*i = -1,i^i = e^(-pi/2) = 0.20788, approx.
Why rational numbers require extension?
Because numbers such as pi, e and the square root of 2 are not rational.
Is pi divided by e 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.
Is 0.0125 rational?
Yes. All rational numbers must terminate or repeat. Rational: 1/3, 1/8, 13, 0.6666666666666... Not rational: π (pi), e, √2
Is 3.14 a rational or irrational number?
3.14 is a rational number pi is not. pi is not 3.14
Why is pi rational?
Pi is not rational it is irrational because it does not stop or repeat
Can you subtract 2 irrational numbers to get a rational number?
Yes. Example: pi - pi = 0.You can even subtract two different irrational numbers to get a rational number.For example: e - (e - 1) = 1 or Φ - (1/Φ) = 1.
Is 0.16 pie 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) .
Is 0.3 pi rational?
No, it is not.
Why is pi a rational number?
Pi is irrational.
Are all fractions rational numbers?
No. pi/2 is a fraction but, since pi is irrational, so it pi/2.
Is 10 pi rational?
No 10*pi is not a rational number because it can't be expressed as a fraction
