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All integers are rational numbers. There are integers with an i behind them that are imaginary numbers. They are not real numbers but they are rational. The square root of 2 is irrational. It is real but irrational.
Null set. All natural numbers are integers.
ALL natural numbers are integers.
No- not exactly. Negative integers are not counting numbers. Positive integers are identified with counting numbers. Many authors like to start with zero as a counting number.
All integers are rational. Not all rational numbers are integers.