A recurring decimal is a rational number, a non-recurring one may be rational (for example 0.2 = 1/5) or irrational.
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.
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.
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.
Some non-terminating decimals are repeating decimals.
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.
It is a non non-terminating, non-recurring decimal. It is an irrational number.
If it is a terminating or recurring decimal then it is not irrational. If it is an infinite, non-recurring decimal, it is irrational.
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.
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.
Yes
The decimal expansion of an irrational number is non terminating and non recurring
To convert a fraction to a decimal, divide the denominator into the numerator. Whether it is recurring or not depends on the fraction.
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.
Some non-terminating decimals are repeating decimals.
the number that never ends and never repeats the same format is called non terminating non recurring decimals
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.
The decimal representation in infinite, non-recurring.