Final answer:
The terminating decimals from the given examples are 1,087.59014, 9.125 (assuming typo correction), 23.7, and 14.1 (assuming typo correction). They have a finite number of digits after the decimal point.
Step-by-step explanation:
Terminating decimals are decimal numbers that have a finite number of digits after the decimal point. When looking at the examples provided, the following are terminating decimals:
- 1,087.59014
- 9.125 (Assuming the space is a typo and should be a decimal)
- 23.7
- 14.1 (Assuming the space is a typo and should be a decimal)
The examples 0.6868 and 832.15902... are not terminating decimals as they either repeat or suggest continuation with the ellipsis. While discussing the concept of significant figures is relevant when considering how to report scientific data, it does not directly impact which decimals terminate. So, for the purpose of this question, we focus on the decimal notation itself to identify terminating decimals.