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Published byElisabeth Johnson Modified over 4 years ago

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The Real Number System

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Natural Numbers (AKA Counting Numbers): {1, 2, 3, 4, …} Whole Numbers (Natural Numbers plus zero): {0, 1, 2, 3, …} NOTE: Both of these sets include only positive numbers!

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Integers (We now include negative whole numbers): { …-3, -2, -1, 0, 1, 2, 3, …} Rational Numbers (any number that can be written as a fraction). This includes all whole numbers, all fractions, and decimals that either terminate or have a repeating pattern.

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Irrational Numbers: Numbers that cannot be written as a fraction. These are certain types of square roots (√2) and numbers like π. Both of these are decimals that never end and never repeat. Empty set: { } Means there are no values in the set.

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Real Numbers Rational Numbers Integers Negative Integers Whole Numbers Zero Natural Numbers Non-integers Irrational Numbers

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1) ¾ is an integer. 2) √3 is a real number. 3) 9.2 is a rational number. 4) Every counting number is a rational number. 5) -2 ½ is a rational number. 6) 0 is not a positive number.

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