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Are all decimals irrational numbers

Updated: 4/28/2022
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Wiki User

8y ago

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only decimals that never end and never repeat are irrational. a decimal is rational if it can be written as a fration or ratio of two numbers.

for example: .3434343434343434...

100x=34.34343434...

-x

99x=34

34/99

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13y ago
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8y ago

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Q: Are all decimals irrational numbers
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Related questions

Are all integer irrational numbers?

No integers are irrational numbers. An integer is a whole number, positive or negative. This means they have no decimals or fractions. An irrational number, however, is a number with fractions or decimals. Therefor, there are no integers that are irrational numbers.


Are repeating decimals rational?

Yes. Rational numbers are numbers or decimals that repeat or terminate. Irrational numbers do not. For example π is an irrational number.


Are recurring decimals considered irrational numbers?

No. Recurring decimals are rational numbers.


What numbers are repeating decimals?

.333333333...; .999999999999...; .666666666666666...; etc. All irrational numbers, basically.


Are terminating and repeating decimals irrational numbers?

Terminating and repeating decimals are rational numbers.


When do you use decimals versus the fraction form of rational numbers?

All rational numbers can be converted from decimals to fractions as for example 0.75 = 3/4 but irrational numbers can not be converted from decimals to fractions.


Could the set of rational numbers include all decimals?

No, they could not. Irrational numbers are also decimal numbers.


How many decimals in pi?

Infinitely many. pi is not just an irrational number but a transcendental number. All irrational numbers have infinite decimals that do not go into a recurring pattern.


Can negative decimals be irrational numbers?

Yes.


What are terminating and repeating decimals?

Irrational Numbers.


Are decimals irrational or rational numbers?

They can be both


Are repeating decimals rational or irrational numbers?

Repeating decimals are rational numbers if there is a pattern, like 0.22222222. If it is not a pattern, like 0.568964329, it is an irrational number.