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Natural numbers are the counting numbers: 1, 2, 3, 4, ...; some definitions also include 0 making the natural numbers the non-negative integers.

Irrational Numbers are those numbers which cannot be represented as a rational number, that is cannot be represented as a proper, or improper (top heavy), fraction with one integer over another. For example √2 and π are both irrational numbers whereas 1/2, 7/3 and 21 (= 21/1) are all rational numbers.

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Q: What are natural and irrational numbers?
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What is the order from largest to smallest for whole number integers rational numbers natural number irrational numbers and 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.


Which subset of the real number does not contain natural numbers?

Irrational numbers.


Is the fraction 6 over 7 an irrational?

no it is not irrational irrational is a neverending number like2.36945856235......... that goes on and on 6 over 7 is a rational number rational numbers are whole numbers natural numbers and integers.


What are the subset of the real number system?

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


Give the different kinds of real numbers?

Natural numbers or Counting numbers Integers Rational numbers Irrational numbers