A rational number is any number that you can write in the form
Natural numbers | {1, 2, 3, … } | |
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Whole numbers | {0, 1, 2, 3, …} | |
Integers | { …
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An irrational number cannot be represented as the quotient of two integers. In decimal form, irrational numbers do not terminate or repeat. Here are some examples.
0.1010010001 … |
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Some square roots are rational numbers and some are irrational numbers. If a whole number is not a perfect square, its square root is irrational.
Rational |
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Irrational |
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Rational numbers and irrational numbers form the set of real numbers.
To which subsets of the real numbers does each number belong?
What clues can you use to classify real numbers?
Look for negative signs, fractions, decimals that do or do not terminate or repeat, and radicands that are not perfect squares.
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