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Is 1 n irrational number

Updated: 11/18/2022
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Q: Is 1 n irrational number
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Can an irrational number be a whole number?

No it cannot. Any whole number, n, can be written as the ratio n/1 where n is an integer. Since it can be expressed as a ratio of two integers, it is rational and so cannot be irrational.


If Dividing a irrational number by an irrational will be a irrational?

Yes normally but if both irrational number are the same then the quotient will be 1


Is -3.14 an irrational number?

-3.14=(-314/100), so -3.14 is a rational number (since it can be expressed as p/q, with p and q being integers). If you mean -pi (which is approximately -3.14), then it is irrational. pi is irrational (for a proof, which is fairly complicated, see: http://www.lrz-muenchen.de/~hr/numb/pi-irr.html). And an irrational number times a rational number (which -1 is since it can be expressed as -1/1) is irrational. This can be proved by assuming the product is rational. Let x be a rational number, which can be expressed as m/n with m and n integers), and let y be the irrational number. Let S=xy. Assume S is rational, and can be expressed as t/u, with t and u being integers. Then: S=xy t/u=(m/n)y [Divide both sides by m/n, which is the same as multiplying by its reciprocal, n/m) (t*n)/(u*m)=y Since t, n, u, and m are integers, tn and um are integers. (t*n)/(u*m)=y implies y is rational, which is a contradiction. Therefore, xy=S is irrational.


Can you multiply an irrational number times an irrational number and get a rational number?

Well, (pi) x (1/pi) = 1 .


Is it possible to completely write out an irrational number in decimal form?

no. irrational numbers are always infininately long, otherwise the could be represented as a fraction by multiplying by 10^n and dividing by 10^n where n is a number large enough to make the number a number with no decimals.

Related questions

Can an irrational number be a whole number?

No it cannot. Any whole number, n, can be written as the ratio n/1 where n is an integer. Since it can be expressed as a ratio of two integers, it is rational and so cannot be irrational.


Is every integer an irrational number?

No integer is an irrational number. An irrational number is a number that cannot be represented as an integer or a fraction.All integers which are whole numbers are rational numbers.


What is a negative irrational number?

A negative irrational number can be thought of as an irrational number multiplied by -1, or an irrational number with a minus sign in front of it.


What number produces an irrational number when added to 0.5?

Any irrational number added to 0.5 will produce an irrational number.


If Dividing a irrational number by an irrational will be a irrational?

Yes normally but if both irrational number are the same then the quotient will be 1


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.


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.


What number produces an irrational number when multiplied by 0.4?

Every irrational number, when multiplied by 0.4 will produce an irrational number.


Is 1 - pi rational or irrational?

It is an irrational number


Is 1 an irrational number?

No. An irrational number is a number that neither terminates nor repeats. Since 1 terminates, it is called a rationalnumber.No. An irrational number is a number that is not rational. Rational numbers are those who can be defined as the division of two integer numbers. As 1 is 1/1, it is a rational number, so, it's not irrational.


Does an irrational number times an irrational number equal an irrational number?

Not always. For example sqrt(2) and 1/sqrt(2) are both irrational, but their product is the rational number 1.


Is -3.14 an irrational number?

-3.14=(-314/100), so -3.14 is a rational number (since it can be expressed as p/q, with p and q being integers). If you mean -pi (which is approximately -3.14), then it is irrational. pi is irrational (for a proof, which is fairly complicated, see: http://www.lrz-muenchen.de/~hr/numb/pi-irr.html). And an irrational number times a rational number (which -1 is since it can be expressed as -1/1) is irrational. This can be proved by assuming the product is rational. Let x be a rational number, which can be expressed as m/n with m and n integers), and let y be the irrational number. Let S=xy. Assume S is rational, and can be expressed as t/u, with t and u being integers. Then: S=xy t/u=(m/n)y [Divide both sides by m/n, which is the same as multiplying by its reciprocal, n/m) (t*n)/(u*m)=y Since t, n, u, and m are integers, tn and um are integers. (t*n)/(u*m)=y implies y is rational, which is a contradiction. Therefore, xy=S is irrational.