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Q: Are natural numbers whole numbers and integers also rational numbers?

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natural numbers integers and whole numbers

Not all rational numbers are integers, but all integers are rational.

there are real numbers, natural numbers, and whole numbers that all make up rational numbers

Natural numbers = Whole numbers are a subset of integers (not intrgers!) which are a subset of rational numbers. Rational numbers and irrational number, together, comprise real numbers.

Such numbers cannot be ordered in the manner suggested by the question because: For every whole number there are integers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every integer there are whole numbers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every rational number there are whole numbers, integers, natural numbers, irrational numbers and real numbers that are bigger. For every natural number there are whole numbers, integers, rational numbers, irrational numbers and real numbers that are bigger. For every irrational number there are whole numbers, integers, rational numbers, natural numbers and real numbers that are bigger. For every real number there are whole numbers, integers, rational numbers, natural numbers and irrational numbers that are bigger. Each of these kinds of numbers form an infinite sets but the size of the sets is not the same. Georg Cantor showed that the cardinality of whole numbers, integers, rational numbers and natural number is the same order of infinity: aleph-null. The cardinality of irrational numbers and real number is a bigger order of infinity: aleph-one.

Whole numbers are the same as integers. Whole numbers are a proper subset of rational numbers.

The set of integers includes the set of whole numbers. The set of rational numbers includes the sets of whole numbers and integers.

the greatest number that is an integer and rational number but is not a natural or whole number is -1

Under real numbers there are rational and irrational numbers.Under rational, there are integers and fractions.Under integers, there are whole numbers, and then under whole numbers, there are natural numbers (counting numbers).I think that's all.

7 is a rational number because whole numbers, integers, and natural numbers fit under rational and 7 is a natural number:)Yes.

Irrational Numbers, Rational Numbers, Integers, Whole numbers, Natural numbers

-3 is a real, rational, whole integer. But then, -- All integers are real rational whole numbers. -- All whole numbers are real rational integers. -- All rational numbers are real. -- All counting numbers are real, rational, whole integers.

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