Math and Arithmetic
Numbers
Irrational Numbers

# Why is pi irrational and 3.14 is rational?

###### Wiki User

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.

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## Related Questions

### 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.

### Why is pi rational?

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

### Why the area of a circle with a rational radius must be 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.

### Is the quotient of two irrational numbers 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.

### Is negative pi rational or irrational?

-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.

### Is 3.14 a rational or irrational number?

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

### Is 3.14 rational and irrational at the same time?

No number can be rational and irrational at the same time. 3.14 is the ratio of 314:100 and so is rational. HOWEVER, 3.14 is also a common approximation for pi, which is an irrational number. All irrational numbers have infinite, non-recurring decimals and so are often approximated by rationals.

### Will the sum of two irrational numbers always be rational?

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.

### Is 3 times pi over two rational?

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

### Is 0.712 rational or irrational?

0.712 is rational. It is 712/1000. Irrational numbers are infinite. An example of an irrational number is pi, which is 3.1415926535... .

### Is pie a rational or irrational?

The number pi, which is approximately 3.14159265..., is an irrational number.

### Is 2 pi a rational number?

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

### Is pi divided by 2 rational or irrational?

If a numerator and/or denominator in a fraction is irrational, the entire fraction is irrational. Since pi is irrational, pi divided by two is also irrational.

### Why is PI a rational or irrational number?

pi is an irrational number. It is irrational because it cannot be expressed as a ratio of two integers.

### Why is 10 pi irrational?

A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational.

### 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) .

### Why isn't 3.14 an irrational number?

A rational number is a real number which can be expressed as a division of two integers. A real number which is not rational is called irrational. Since 3.14 = 314/100 and 314 &amp; 100 are integers it is a rational number.

### Can you add an irrational number and a rational number to give an irrational?

No, but you can add an irrational number and a rational number to give an irrational.For example, 1 + pi is irrational.

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