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0.33333... repeating = 1/3

0.428571... repeating = 3/7

0.11111... repeating = 1/9

0.090909... repeating = 1/11

Those decimals are all non-terminating, but the numbers are all rational.

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โˆ™ 2011-09-05 00:28:01
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โˆ™ 2016-01-21 10:12:15

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Q: Are all non-terminating decimals irrational numbers?
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Related questions

Are all nonterminating decimals irrational and why?

No, they are not. Recurring decimals are rational.


Are all nonterminating decimals irrational numbers?

Not at all. 0.33333... nonterminating = 1/3 rational 0.66666... nonterminating = 2/3 rational 0.1428571428... nonterminating = 1/7 rational 0.55555... nonterminating = 5/9 rational


Are all decimals irrational numbers?

No.


Are All Integers Are 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.


What numbers are repeating decimals?

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


Are natural numbers irrational numbers?

No. All natural numbers are whole, so they are rational. Irrational numbers like pi and the square root of 34 come in decimals.


Could the set of rational numbers include all decimals?

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


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.


Why cant irrational number be presented as a decimal?

All irrational numbers are non-terminating decimals that can't be expressed as fractions


Are non-repeating decimals irrational numbers?

No because non-repeating decimals may be terminating.But suppose you consider terminating decimals as consisting of repeating 0s. That is, 1/8 = 0.125 = 0.12500....Then all non-repeating decimals are irrational.


Can all real numbers be represented as a decimal?

Yes, except that all irrational numbers will be non-terminating, non-repeating decimals.

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