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No because any number that can be expressed as a fraction is a rational number and in this case the fraction is 1/3

When trying to represent an irrational number as a decimal there are two conditions:

  1. the part of after the decimal never terminates (which is met by the described number)
  2. the decimal part never repeats (which is NOT met by the described number)
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Related Questions

Ask us anythingThe number 0.1111... repeats forever therefore it is irrational?

False


The number 0.3333... repeats forever therefore it is irrational.?

No because it can be expressed as a fraction in the form of 1/3 and all fractions are rational numbers.


The number 0.03333…repeats forever therefore it is irrational?

No because it can be expressed as a fraction in the form of 1/3 and all fractions are rational numbers.


If a number is a real number can it be rational and irrational simultaneously Why?

No. A rational number is a number that either terminates or repeats. An irrational number neither terminates nor repeats. Therefore, it cannot be both.


Is the number 0.1111... Repeats forever there for its irrational true or false?

False. The number 0.1111... (which can be expressed as the fraction 1/9) is a repeating decimal and is therefore a rational number. Rational numbers can be expressed as the ratio of two integers, and since 0.1111... can be represented as 1 divided by 9, it is not irrational.


Consider the decimal do you think this decimal represents a rational number why or why not?

If the decimal terminates or repeats, it is rational. If it keeps on going forever, it is irrational.


The number pi goes on forever with no repeating pattern therefore its irrational?

Correct -


The number 0.7777... repeats forever therefore it is irrational.?

No. Repeating decimals are always rational. 0.7777... is actually the decimal expansion of 7/9, which as you can clearly see is rational (it's the ratio of 7 to 9).


Is 5.7777 A rational number?

Yes. If you mean 5.7777 as a terminating decimal it is 57777/10000 If you mean 5.7777... as a recurring decimal where the 7 repeats forever it is 57/9 If a decimal number terminates or repeats one or more digits forever it is a rational number. Otherwise if a decimal number goes on forever but does not repeat any digits (eg √2 = 1.41421356...) then it is an irrational number.


Is 37.68 a rational number?

Yes. Rational numbers either stop, which in your case it does, or it repeats (like 1.3333333...). Irrational numbers go on forever. (such as pi) (:


What is a real number that can not be expressed as a desimal that repeats is?

It is an irrational number.


The number pi goes on forever with no repeating pattern therefore it is irrational. true or false?

True

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