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When pre-historical people started counting - their friends (or members in their "gang"), their enemies, the numbers of prey animals or how many days away there was water or good hunting - they counted in integers.
That was fine until they needed to share things. And that is when ratios or rational numbers came in.
However, once they started studying mathematics - geometry in particular - they found that some problems could not be solved using rational numbers. For example, if you had a square with unit sides, its diagonal could not be rational. A circle with unit radius did not have a unit circumference. Irrational Numbers were introduced to deal with this shortcoming.
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Is -3 a Real or rational or irrational or integer or whole or counting?
-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.
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.
Fractions decimals and integers are examples of whole number rational irrational number?
Integers are whole numbers. Fractions, whether in decimal or divisional form, can be either rational or irrational.
What kind of numbers are decimals with a repeating pattern of digits?
either irrational numbers, integers, integers, rational numbers, or whole numbers
What is 404404440 an irrational number?
No because all integers or whole numbers are rational
