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If it terminates, then that means you can repeatedly multiply it by 10 until the result becomes an integer.

Therefore the numbers can be expressed as A/10^n where A and n are integers.

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Q: What type of rational numbers have a terminating decimal expansion?
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Related questions

What are terminating and non terminating numbers in rational numbers?

Terminating numbers are decimal representations of rational numbers. Nonterminating numbers may or may not be rational numbers.


Are all terminating and decimals rational numbers?

All terminating decimal numbers are rational.


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