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Earn +20 ptsQ: Are all nonterminating decimals irrational numbers?
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Are all nonterminating decimals irrational and why?
No, they are not. Recurring decimals are rational.
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.
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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