Quick Check: The Real Number System

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What is a rational number?

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A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

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What is an irrational number?

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An irrational number is a number that cannot be expressed as a simple fraction; it cannot be written as a ratio of two integers.

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What are whole numbers?

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Whole numbers are non-negative numbers without fractions or decimals, including zero (0, 1, 2, 3, ...).

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What are integers?

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Integers are whole numbers that can be positive, negative, or zero (..., -3, -2, -1, 0, 1, 2, 3, ...).

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What is a natural number?

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Natural numbers are the set of positive integers used for counting (1, 2, 3, ...).

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Front

Can a number be both rational and irrational?

Back

No, a number cannot be both rational and irrational.

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Are all natural numbers also whole numbers?

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Yes, all natural numbers are also whole numbers.

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What is a repeating decimal?

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A repeating decimal is a decimal fraction that eventually repeats the same sequence of digits.