Subjects algebra

Terminating Decimal C1781C

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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: $0.76$