1. The problem asks us to identify which number among the given options is a terminating decimal.
2. A terminating decimal is a decimal number that has a finite number of digits after the decimal point.
3. Let's analyze each option:
- $\pi$ is an irrational number with a non-terminating, non-repeating decimal expansion.
- $0.9090909\ldots$ is a repeating decimal (the digits "09" repeat indefinitely), so it is not terminating.
- $0.76$ has exactly two digits after the decimal point and does not continue, so it is a terminating decimal.
- $0.\overline{137}$ means the digits "137" repeat indefinitely, so it is a repeating decimal, not terminating.
4. Therefore, the only terminating decimal among the options is $0.76$.
Final answer: $0.76$
Terminating Decimal C1781C
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