A terminating rational number is a number that can be expressed as a fraction where the decimal representation ends after a finite number of digits.
Among the options you provided:
- -1/3: This has a repeating decimal representation (-0.333...), so it is not a terminating rational number.
- √11: This is an irrational number, as the square root of 11 cannot be expressed as a fraction, so it is not a terminating rational number.
- -0.0716: This decimal representation ends, so it is a terminating rational number.
- 0.51515151...: This representation has a repeating part (51), so it is not a terminating rational number.
Therefore, the terminating rational number from your list is -0.0716.