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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).

Q: What set of numbers contain nonrepeating and nonterminating decimals?

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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

Whole numbers contain no fractional part as do decimals

Yes

The quotient of 5 and negative 30 is both. Rational numbers and integers include many of the same numbers. Integers are positive and negative counting numbers, but rational numbers include nonrepeating decimals and fractions.

Because they do not contain decimals

Related questions

Irrational numbers.

A nonterminating number does not end. An example is the fraction 1/3. When written as a decimal, it is a nonterminating number. Also pi is a nonterminating number. Some nonterminating numbers are repeating, some are nonrepeating. But they just don't end.

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

Whole numbers contain no fractional part as do decimals

Yes

Because they do not contain decimals

The quotient of 5 and negative 30 is both. Rational numbers and integers include many of the same numbers. Integers are positive and negative counting numbers, but rational numbers include nonrepeating decimals and fractions.

Integers are whole numbers that do not contain fractions or decimals

19 whole numbers, and infinitely many fractions and decimals

Terminating numbers are decimal representations of rational numbers. Nonterminating numbers may or may not be rational numbers.

Decimals are numbers.

An ordered pair can contain any valid numbers - integers, fractions, decimals, or even complex numbers.