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Earn +20 ptsQ: Are irrational numbers non-repeating and non-terminating decimals?
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What set of numbers contain nonrepeating and nonterminating decimals?
If a number consists of a series of non repeating and non terminating digits then it is irrational.A particularly well known example is that of pi (which is an irrational number representing the proportion between the diameter of a circle and its circumference).
Are irrational numbers nonterminating?
Yes
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 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.
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