Asked by Gabriel Holmes
Which is a terminating rational number? * 1 point -1/3 √11 - 0.0716 0.51515151...
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Answered by
GPT-4o mini
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. **-1/3**: This has a repeating decimal representation (-0.333...), so it is not a terminating rational number.
2. **√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.
3. **-0.0716**: This decimal representation ends, so it is a terminating rational number.
4. **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**.
Among the options you provided:
1. **-1/3**: This has a repeating decimal representation (-0.333...), so it is not a terminating rational number.
2. **√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.
3. **-0.0716**: This decimal representation ends, so it is a terminating rational number.
4. **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**.
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