Maybe
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.
Integer numbers are a subset of real numbers. Real numbers may contain fractions.
Irrational numbers.
Real numbers are all numbers which do not contain "i", when "i" represents the square root of -1. All numbers which do contain "i" are "imaginary numbers" and are not real numbers. This means that all numbers you'd ordinarily use are real numbers - all the counting numbers (integers) and all decimals are real numbers. So in answer to your question, all the real numbers that are not whole numbers are all the decimal numbers - including irrational decimals such as pi.
Yes. If its irrational it just means that it continues forever with no real pattern. It can still have real numbers
0.1296714785 is a real number. All numbers that do not contain the square root of a negative number (represented by i) are real numbers.
nRURidk
The subset consisting of the one number, 7.5 : {7.5}
The set of integers, of rational numbers, of real numbers, complex numbers and also supersets which contain them.
Real numbers.
The rational numbers, the real numbers and sets of higher order which contain the reals such as the complex numbers.
No. For example, linear algebra, for example, is about linear equations where the domain and range are matrices, not simple numbers. These matrices may themselves contain numbers that are real or complex so that not only is the range not the real numbers, but it is not based on real numbers either.