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

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Q: Is 3 times pi a rational or an irrational?
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Continue Learning about Algebra

Is the number 6 rational or irrational?

'6' is RATIONAL. Casually IRRATIONAL numbers are those that have decimals going to infinity AND the decimal digits are NOT in any regular order. 'pi' = 3.141592.... is the most well known irrational number. However, 3.3333... is RATIONAL becaause the decimal digits are in a regular order of '3'.


Can an irrational number divided by an irrational number equals an irrational number?

Yes, an irrational number divided by an irrational number will usually be an irrational number, but not always. For example, pi / (3pi) is 1/3, which is a rational number, but pi/e is an irrational number.


Is 15.2 a rationtal number or irrational number?

RATIONAL. Any DEcimal Number that can be made into a fraction/ratio is RATIONAL. So 0.3333..... is Rational as its fraction is '1/3' BUT pi = 3.141592.... is IRRATIONAL because in casual terms the decimal digits are NOT in any regular order. As a rough rule, All numbers are rational except. ;- pi , 'e' and the square roots of prime numbers. NB There are other Irrational numbers too!!!!!


Is 0.6 a rational number or an irrational number?

Rational because you can coinvert it to a ratio(fraction). 0.6 = 6/10 = 3/5 NB Irrational numbers are those that cannot be converted to a fraction. e,g, pi = 3.1415692.... or sqrt(2) = 1.414213562.... There are many more irrational numbers.


Is the sum of two POSITIVE irrational numbers ALWAYS irrational?

No. Two irrational numbers can be added to be rational. For example, 1/3 + 2/3 = 3/3. 1/3 and 2/3 are both irrational, but 3/3 = 1, which is rational.

Related questions

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 3 a irrational number?

No, 3 is a rational number. Pi and the square root of 2 are irrational numbers.


Is the circumference of a circle an irrational?

Yes if the diameter is rational. But it need not be if the diameter is irrational. If the diameter is 3/pi units, for example, then the circumference will be (3/pi)*pi = 3 units.


Is 3 pi irrational?

Pi, is an irrational number (it cannot be written as a fraction) For this reason, 3 times pi is also irrational.


What is the difference between pi and the number three?

pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.pi is a transcendental (a special type of irrational) number whereas 3 is not only rational, but an integer.


Is the circumference of a circle an irrational number?

Yes if the diameter is rational. But it need not be if the diameter is irrational. If the diameter is 3/pi units, for example, then the circumference will be (3/pi)*pi = 3 units.


Can You multiply a rational and irrational number and get an irrational product?

Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).


Is 3 times pi an irrational number?

Since pi is irrational, any multiple of it is too.


Is pi an irrational or a rational number?

Pi is an irrational number. A rational number is one that can be expressed as a fraction (or ratio), e.g. 1/3. There are fractions that are near Pi, for example: 22/7 = 3.142857 (PI = 3.14159265...) A closer fraction is: 355/113 = 3.14159292 However whatever fraction you have, you will never get exactly PI. Hence it is irrational See the links for proofs that pi is irrational.


Is -0.06 rational or irrational?

Rational because it can be simplified into -3/50. Irrational numbers are decimals that go on forever. For example, pi 3.141592653... goes on forever.


Are real numbers rational numbers?

Some are and some aren't. 62 is real and rational. 1/3 is real and rational. sqrt(2) is real and irrational. (pi) is real and irrational.


Is 012131415. rational or irrational?

If it would never end, then it is irrational e.g. 10/3 = 3.33333333... etc.. if it ends it's rational e.g. 1000/8 = 125 other irrational numbers: pi, e