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How can you identify recurring and non-recurring decimal number from rational form itself?
If the prime factorisation of the fraction's denominator consists only of the primes 2 and/or 5 it will be a non-recurring decimal; otherwise it will.
Why decimal is considered as rational number?
A decimal need not be a rational. A non-terminating, non recurring decimal is an irrational number. Only a terminating decimal or a recurring decimal is rational and that is because such a number can be expressed as a ratio of two integers.
What is a non terminating decimal called?
Some non-terminating decimals are repeating decimals.
What does decimals have that fractions don't?
In theory, infinite, non-recurring decimals can represent irrational number whereas fractions cannot do that. However, any non-recurring decimal number can be expressed for only a finite number of digits and so this theoretical difference cannot be attained in reality.
How much types of non terminating decimal fraction?
Two: recurring and non-recurring. Note that recurrence may not start straight away. For example, 257/700 = 0.36714285... where the first to digits after the decimal point are not part of the recurring sequence.
