A rational terminating decimal is a decimal that has a finite number of digits after the decimal point. To determine which of the given options is a rational terminating decimal, we should look at each one:
- 13: This is a whole number and can be represented as a decimal (13.0). It is a terminating decimal.
- 1 third (1/3): This is a repeating decimal (0.333...), not terminating.
- √39: This is an irrational number because it cannot be simplified to a fraction that is a terminating decimal.
- 78: This is a whole number and can be represented as a decimal (78.0). It is a terminating decimal.
- 7 eighths (7/8): This is equal to 0.875, which is a terminating decimal.
- √12: This is also an irrational number because it cannot be simplified to a fraction that is a terminating decimal.
- 511: This is a whole number and can be represented as a decimal (511.0). It is a terminating decimal.
- 5 over 11 (5/11): This is a repeating decimal (0.4545...), not terminating.
From the options, the numbers that are rational terminating decimals are 13, 78, 7/8, and 511.
However, if you are looking for just one response, the best options would be 13 (since it is simple and straightforwardly a terminating decimal). If you need to select just one, then 13 could be considered your answer.
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