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## During class, students were asked to talk to their neighbor to determine whether 3/9 represents a repeating decimal or a terminating d

Question

During class, students were asked to talk to their neighbor to determine whether

3/9 represents a repeating decimal or a terminating decimal. Diego told his

neighbor that 3/9 represents a terminating decimal. Is Diego correct? Explain

your reasoning in a full sentence.

Your answer

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Mathematics
1 year
2021-08-26T19:56:00+00:00
2021-08-26T19:56:00+00:00 1 Answers
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## Answers ( )

Answer: No, Diego is not correct.

Explanation: If we either divide 3/9 on a calculator or simplify the fraction into lowest terms, we are left with a repeating decimal of 0.333333…

Terminating decimals are those which end with a finite number of decimals after the point. Since 3/9 does not end with a specific amount of numbers after the decimal point, it will repeat forever and is not a terminating decimal.