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Is 4 times pi a rational number?

Updated: 4/28/2022
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9y ago

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No because it can't be expessed as a fraction

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9y ago
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Zy'Kerria Miller

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2y ago

yes

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Q: Is 4 times pi a rational number?
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Whole number times decimals?

A decimal, in this context, is a useless description: a decimal can be an integer, a rational number or an irrational number. Furthermore, a whole number times a decimal fraction can be a whole number, a rational number or an irrational number.For example:4 * 3.5 = 14 is a whole number times a decimal fraction = whole number.4 * 3.3 = 13.2 is a whole number times a decimal fraction = rational fraction.4 * 3.14159... [ie pi in decimal form] = 4 * pi, which is an irrational number.


Is a real number always sometimes or never a rational number?

Sometimes. The number '4' is real and rational. The number 'pi' is real but not rational.


What are some examples of a fraction but not a rational number?

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.


Is -4 a rational number?

A rational number is a number that has a definite end. For example, pi is never ending and is therefore an irrational number. -4, however, has a definite end. This makes it a rational number.


Is route 4 a rational number?

4 is indeed rational. Numbers like pi which seem to go on forever without repetition (we think) are irrational =)


Is a number multiplied by pi irrational?

Maybe. It depends on the number that you are multiplying. Pi multiplied by (1 / 4pi) = 1/4. A quarter is definitely rational.


What is an example of a rational and an irrational number?

A rational number can be expressed as a fraction, so any fraction is a rational number e.g. 3/4 A irrational number can NOT be expressed as a fraction. e.g. sqrt(2), pi


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.


Who proved that pi was irrational and when?

In 1761, Joseph Lambert proved that pi was irrational by basically proving that the tangent of some number x could be expressed as a particular continued fraction as a function of x. He then went on to show that if x was rational, the continued fraction must be irrational, and since the tangent of pi/4 was 1 (i.e. rational), then pi/4 and thus pi itself must not be rational.


Is negative 4 over 3 rational or irrational?

Rational -1.(3 repeating) Any repeating decimals are rational. However, a number such as pi (3.141592654...) does not repeat or end.


Is the fraction 1 over 4 rational or irrational?

It is rational because 1/4= .25 An irrational number (like pi) is a decimal that does not end. A rational number (think fraction) will end. (ex: 1/8 .35 .83 etc)


Is the number two a rational number?

A rational number is any number that can be written as a fraction. 2 can be written as (2/10 or (4/2) or (10/5) and so on, so it is a rational number.◄ An example of a number than cannot is √2 or (pi), so are called irrational.