The Real Number System: Always, Sometimes, Never

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Natural numbers are positive.

Always

Natural numbers are rational numbers.

Always

Natural numbers are whole numbers.

Always

Pi (3.14159...) is an irrational number.

Always

Rational numbers are real numbers.

Always

Repeating decimals are rational numbers.

Always

Repeating decimals can be written as fractions.

Always

The square roots of perfect squares are rational.

Always

Whole number are integers.

Always

Whole numbers are positive.

Always

Whole numbers are rational numbers.

Always

Zero is a whole number.

Always

Zero is an integer.

Always

Irrational numbers are fractions.

Never

Irrational numbers are integers.

Never

Natural numbers are negative.

Never

Pi (3.14159...) is a rational number.

Never

The number zero is irrational.

Never

Integers are natural numbers.

Sometimes

Integers are negative numbers.

Sometimes

Integers are positive.

Sometimes

Irrational numbers are square roots.

Sometimes

Non-terminating decimals are irrational.

Sometimes

Rational numbers are decimals.

Sometimes

Rational numbers are negative.

Sometimes

Real numbers are integers.

Sometimes

Real numbers are irrational numbers.

Sometimes


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