7.896
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A non-terminating decimal.
Not only non-terminating, but also non-repeating. 0.333... recurring is non-terminating but it is rational. In fact, most rational numbers are non-terminating decimals.
Some non-terminating decimals are repeating decimals.
Either. If it is non-terminating but recurrent (after some point) it is rational. If it is non-terminating AND non-recurrent then it is irrational.
A terminating decimal is a rational number. A non-terminating, repeating decimal is a rational number. A non-terminating, non-repeating decimal is an irrational number.