What are terminating and recurring decimals?

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Solution

Recurring decimals-A decimal number that has digits that repeat forever.

Examples:

1/3 = 0.333... (the 3 repeats forever)
1/7 = 0.142857142857... ( the "142857" repeats forever)
77/600 = 0.128333... (the 3 repeats forever)

A number cannot be terminating or non-terminating. Therepresentation of a real number in the very special form of an expansion in some base may be terminating or not.

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Types of rational numbers are terminating decimals and non-terminating recurring decimals

All non-terminating and non-recurring decimal numbers are rational numbers.

Write three numbers whose decimal expansions are non-terminating, non-recurring.

\sqrt{2}

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