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Basically imagine numbers represented in scientific notation - some bits represent the mantissa, some bits the exponents. For more details, read the following Wikipedia article: http://en.wikipedia.org/wiki/Floating_point
It is also possible to represent numbers as a text (string) - this makes it possible to use numbers of an arbitrary size, with arbitrary precision, and without rounding errors (at least, for certain operations). For example, Java has a class called BigDecimal, precisely for this purpose.
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What are numbers expressed in the decimal system?
All real numbers can be represented in the decimal system. Complex numbers can be represented by a pair of numbers in the decimal system.
Can irrational numbers cannot be represented by points on the real number line?
These number can also be represented on real line.
What is a real number represented by?
The set of real numbers is represented by a fancy script "R". However, real numbers are just represented by a number (be it integer, rational, irrational, or otherwise). The key here is that it is not a complex number (number containing the imaginary number "i").
Why are rational irrational and real numbers not represented in tabular form?
Rational numbers are sometimes represented in tabular form, e.g. for proofs relating to different infinities. Irrational and real numbers are not because there is no way to do it.
What compose of real numbers?
The set of all real numbers usually represented by a capital R that is double vertical line in the left and bold.
