A terminating decimal is something like .25, where a repeating decimal is something like 1/3
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You answered yourself in the question.
There is no mathematical difference.
Without decimals there would be no difference between dollars and cents.
Write both numbers as decimal numbers, then look for terminating decimals between the two.
A terminating number has a definitive value - A repeating number continues indefinitely. For example - 10 divided by 8 is 0.125 (a terminating number) - 10 divided by 3 is 3.333333 (the decimal repeats indefinitely).