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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 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
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 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) .
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 0.3 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
