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What is the group of numbers that includes all numbers?
The set of Real numbers includes all commonly used numbers. But the Real numbers are only a proper subset of the set of Complex numbers, and the Complex numbers are a proper subset of Quaternions.It is a bit like the Russian Babushka dolls with one doll inside another which is inside another, and so on. In reality, therefore, there is no such set.Also, note that "Group" has a very special meaning in mathematics. The set of Real numbers is a group, but it is also a Field.
What is the set of numbers including all irrational and rational numbers?
real numbers
What is A set of numbers that is larger than the set of real numbers?
In a certain sense, the set of complex numbers is "larger" than the set of real numbers, since the set of real numbers is a proper subset of it.
What is the set of numbers that includes all rational and all irrational numbers?
the set of real numbers
Derived Set of a set of Rational Numbers?
The derived set of a set of rational numbers is the set of all limit points of the original set. In other words, it includes all real numbers that can be approached arbitrarily closely by elements of the set. Since the rational numbers are dense in the real numbers, the derived set of a set of rational numbers is the set of all real numbers.
The set of all rational and irrational numbers?
Are disjoint and complementary subsets of the set of real numbers.
Set of real numbers and set of complex numbers are equivalent?
Real numbers are a proper subset of Complex numbers.
What is the difference between a set of real numbers and a set of complex numbers?
The set of real numbers is a subset of the set of complex numbers. For the set of complex numbers, given in the form (a + bi), where a and b can be any real number, the number is only a real number, if b = 0.
Why do you think there are different set of real numbers?
There is only one set of Real numbers.
Does a real number contain the set of rational numbers?
No. A real number is only one number whereas the set of rational numbers has infinitely many numbers. However, the set of real numbers does contain the set of rational numbers.
How are rational numbers and integal numbers related to set of real numbers?
Both rational numbers and integers are subsets of the set of real numbers.
Set of real numbers?
The set of real numbers is the union of the set of rational and irrational numbers. But there are so many other ways to describe it. Real numbers can be constructed as Dedekind cuts of rational numbers. The set of real numbers can also be viewed as the set of equivalence classes of Cauchy sequences of rational numbers Some people like the definition, that the real numbers are all the numbers which can be expressed as decimals.
