write a definition of real number and write its decimal expansion
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real number can be defined as the set of rational and irrational number.
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REAL NUMBERS
The collection of rational numbers and irrational numbers is called REAL NUMBERS
RATIONAL NUMBERS
The numbers which can be written in the form of p/q where p is an integer and q is not equal to 0. Let's take an example - 2/3. The decimal expansion is 0.6666666...... This is called non terminating but recurring decimal expansion. Another example-1/2. The decimal expansion is 0.5. This is called terminating
IRRATIONAL NUMBERS
The numbers which can not be written in the form of p/q where p is an integer and q is not equal to 0 . The example - 0.01001000100001.....
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