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The decimal representation in infinite, non-recurring.

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Why not all the decimal numbers can be written as rational numbers?

Decimal numbers that can be expressed as fractions are rational but decimal numbers that can't be expressed as factions are irrational


Is decimal 1111 a rational or irrational number show your work?

.1111 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


What are the irrational?

Irrational numbers are a subset of real numbers which cannot be written in the form of a ratio of two integers. A consequence is that their decimal representation is non-terminating and non-repeating.


Is 81 a rational or irrational number?

81 as well as all whole numbers are rational numbers. Any number that can be written as a fraction is a rational number. An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point. An example of an irrational number would be pi: π = 3.141592…


Is a decimal form of an irrational number a repeating decimal?

Not necessarily. Remember that the definition of an irrational number is a number that can't be expressed as a simple fraction. 2/3, for example, is rational by that definition even though its decimal form is a repeating decimal. Since irrational numbers cannot be written as fractions, they don't have fraction forms. So basically, numbers with repeating decimals are considered rational. Irrational numbers don't have repeating decimals.


Is real numbers irrational?

The irrational numbers are real numbers. An irrational number is one that cannot be written as a fraction (ie, they have an infinite, non-repeating sequence of decimal places), such as pi. Most square roots are also irrational, like the square root of 2 for example.


Is it true that every fraction can be written as a decimal?

Any fraction composed of real numbers can be written as a decimal approximation.However, some irrational numbers, like Pi, are never-ending as decimals, and must be rounded off.


The square root of 6 belongs to what family of real numbers?

Irrational: it cannot be written exactly in the decimal notation.


Is a decimal an irrational or rational number?

A decimal can be both rational and irrational. Rational decimals are 0.25 , 0.234234234..., because they can be converted to a fraction. However, irrational decimals , such as pi = 3.141592.... cannot be converted to a equal fraction. A rational decimal are where the digits regularly repeat, and go to infinity, such as 0.234234234... However, irrational decimals, such as pi = 3.141592... were the digits go to infinity but there is no regular repetition of the numbers. Some other irrational decimals are the square roots of prime numbers. ;_ sqrt(2) = 1.414213562... sqrt(3) = 1.732050808... sqrt(5) = 2.236067978....


Why can't irrational numbers ever be precisely represented in a decimal form?

Suppose an irrational number can be written precisely in decimal form, with n digits after the decimal point. Then if you multiply the decimal value by 10n you will get an integer, say k. Then the decimal representation is equivalent to k/10n, which is a ratio of two integers and so the number, by definition, is rational - not irrational.


Can you irrational numbers be written as fractions?

Irrational numbers can't be expressed as fractions.


Can an irrational number be written as a decimal?

Not precisely.

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