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

Answer 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.