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

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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  1. 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.

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