Irrational Numbers

# Is 10 pi rational?

012 ###### 2013-10-21 13:06:01

No 10*pi is not a rational number because it can't be expressed as a fraction

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## Related Questions No because the value of pi as regards to a circle is an irrational number A non-zero rational number (10) multiplied by an irrational number (pi) is always irrational. e^pi ~ 23.14069.............., not rational 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) .  Yes. For example: a = 10 - pi b = pi Both are irrational; the sum a + b is 10. 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. Sure; for example, 10 + pi is irrational, 10 - pi is irrational. Both are positive. If you add them, you get 20. The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero. Yes. For example, if you take any truncated equivalent of pi then it will be rational. You may or may not be able to. The diameter of a circle with circumference 10 cm is 10/pi, a division problem. But there is no answer using rational numbers. 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. 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. 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 No 22*pi is not a rational number 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 Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.  Here is an example sentence with the word "rational":Any number that is recurring is classified as a rationalnumber.And as a bit of a laugh:3.14 to Pi: Be rational!Pi to 3.14: Be real! No; since pi is irrational if you multiply it by a rational number it is still irrational 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. No. For example, pi/2 is a fraction which is not rational. no every periodic number is rational but pi is irrational

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