The Real Number System: Always, Sometimes, Never – Flashcards

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Rational numbers are real numbers.
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Always
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Real numbers are irrational numbers.
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Sometimes
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Real numbers are integers.
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Sometimes
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Whole number are integers.
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Always
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Natural numbers are whole numbers.
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Always
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Whole numbers are rational numbers.
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Always
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Natural numbers are rational numbers.
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Always
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Pi (3.14159...) is a rational number.
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Never
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Rational numbers are negative.
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Sometimes
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Natural numbers are negative.
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Never
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The number zero is irrational.
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Never
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Irrational numbers are fractions.
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Never
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Irrational numbers are square roots.
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Sometimes
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Integers are positive.
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Sometimes
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The square roots of perfect squares are rational.
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Always
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Irrational numbers are integers.
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Never
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Zero is a whole number.
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Always
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Rational numbers are decimals.
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Sometimes
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Non-terminating decimals are irrational.
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Sometimes
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Pi (3.14159...) is an irrational number.
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Always
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Natural numbers are positive.
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Always
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Whole numbers are positive.
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Always
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Repeating decimals are rational numbers.
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Always
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Repeating decimals can be written as fractions.
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Always
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Zero is an integer.
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Always
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Integers are natural numbers.
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Sometimes
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Integers are negative numbers.
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Sometimes
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