The Real Number System: Always, Sometimes, Never
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
