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Exploring Real Numbers Lesson 1-3

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Real Numbers Rational Numbers Integers Whole Numbers

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Irrational Numbers

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Natural numbers are the counting numbers

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Whole numbers are the nonnegative integers.

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Integers are whole numbers and their opposites.

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Rational numbers are real numbers that can be written as ratios of two integers. Rational numbers in decimal form are terminating or repeating.

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Irrational numbers are numbers that cannot be written as ratios of two integers. Irrational numbers in decimal form are nonterminating and nonrepeating.

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Real numbers are numbers that are either rational or irrational.

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A counterexample is any example that proves a statement false.

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An inequality is A mathematical sentence that compare the values of two expressions using an inequality symbol.

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Opposites are numbers that are the same distance from zero on a number line, but that lie in opposite directions.

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Absolute value is the distance that a number is from zero on a number line.

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