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How whole numbers integers rational numbers and irrational numbers came?
Wiki User
∙ 10y ago
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.
Wiki User
∙ 10y ago
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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
What are irrational integers?
There are none because all integers or whole numbers are rational numbers.
Can a rational number be an irrational?
Rational numbers and irrational numbers are two completely different groups. A rational number is a number that can be expressed as a fraction of whole integers. An irrational number is a number that cannot be expressed as a fraction of whole integers. So a number is either rational or irrational.
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.
Is an integer an irrational?
No because all integers or whole numbers are rational numbers
What is the relation between integers natural numbers whole numbers rational and irrational 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.
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.
Are all integer irrational numbers?
No integers are irrational numbers. An integer is a whole number, positive or negative. This means they have no decimals or fractions. An irrational number, however, is a number with fractions or decimals. Therefor, there are no integers that are irrational numbers.
What is the differences among integers rational numbers real numbers and irrational numbers?
Integers are whole numbers. They are the counting numbers, 0 and the corresponding negative numbers. Rational numbers are numbers that can be expressed as a ratio of two integers (the second one being non-zero). Irrational numbers are numbers that are not rational numbers. Rational and irrational number together form the set of real numbers.
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
What is the relationship between real numbers integers rational and irrational numbers and whole numbers?
They are all numbers
