How do we determine whether the decimal representation of a quotient of two integers, with the divisor not equal to zero, will terminate or repeat? Justify your reasoning.

If the remainder we get is zero then it is terminating otherwise the number will be repeating.

Step-by-step explanation:

In order to find whether a number is terminating or repeating, divide the numerator with the denominator. If the remainder we get is zero, then it is a terminating number and if we do not get zero as remainder, it is a repeating number.

In division algorithm, when the remainder is zero, we get a terminating algorithm as the algorithm stops or terminates.

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