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Subjects>Math>Math & Arithmetic

Are all nonterminating decimals irrational and why?

Updated: 10/25/2022

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∙ 11y ago

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No, they are not. Recurring decimals are rational.

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∙ 7y ago

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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

What is a nonrepeating nonterminating decimal rational or irrational?

They are irrational.

Are irrational numbers nonterminating?

Yes

Can an irrational number be nonrepeating and nonterminating?

Yes.

What can be a number that can be expressed as a nonrepeating nonterminating decimal?

an irrational number

Related questions

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

Positive or negative decimals that are nonterminating and nonrepeating or have a pattern in their digits but do not repeat exactly are?

Irrational numbers.

What is a nonrepeating nonterminating decimal rational or irrational?

They are irrational.

Are irrational numbers nonterminating?

Yes

Can an irrational number be nonrepeating and nonterminating?

Yes.

What can be a number that can be expressed as a nonrepeating nonterminating decimal?

an irrational number

Do all irrational decimals repeat?

No, none of them do.

What is nonterminating and not repeating decimal?

It is an infinite non-repeating decimal which represents an irrational number.

Examples of nonterminating decimals?

1/3 = 0.333333333...1/7 = 0.142857142857....pi = 3.1415926535...

Is 0.16 repeating irrational?

No, no repeating decimal is irrational. All repeating decimals can be converted to fractions. They are, however, non-terminating.

Are all non terminating decimals irrational?

No. If they are recurring, then they are rational.

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.

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