terminating math definition
The word terminate means end. A decimal that ends is a terminating decimal. In other words, a terminating decimal doesn't keep going. A terminating decimal will have a finite number of digits after the decimal point. In the examples listed above, we have a few fractions expressed as decimals. Notice that these decimals have a FINITE NUMBER OF DIGITS after the decimal point. So, they are terminating decimals. However, there are situations when the digits after the decimal point DOES NOT END or they go on forever.
The infinitely-repeated digit sequence is called the repetend or reptend. If the repetend is a zero, this decimal representation is called a terminating decimal rather than a repeating decimal, since the zeros can be omitted and the decimal terminates before these zeros.