A rational, terminating decimal is a decimal that can be expressed as a fraction and has a finite number of digits after the decimal point.
Among the options provided:
- 511 - This is a whole number and can be expressed as 511.0, which is a terminating decimal.
- 5 over 11 (5/11) - This fraction is a repeating decimal (0.454545...), not terminating.
- 0.363636... - This is also a repeating decimal (0.36 repeating), not terminating.
- √64 (square root of 64) - This equals 8, which can be expressed as 8.0, a terminating decimal.
- 79 - This is a whole number (79.0), which is a terminating decimal.
- 7 ninths (7/9) - This is a repeating decimal (0.7777...), not terminating.
Thus, the numbers that are rational, terminating decimals from the options given are 511, √64, and 79. However, since you need to select one, you can choose 511 or 79.
If you want the most straightforward answer, 511 is a good choice.