Question
Match the number with the correct description.(5 points)
Put responses in the correct input to answer the question.
0.567
√17
0.123124125….
√49
0.898989…
Note: Be specific, and say if it is either rational or irrational.
Put responses in the correct input to answer the question.
0.567
√17
0.123124125….
√49
0.898989…
Note: Be specific, and say if it is either rational or irrational.
Answers
GPT-4o mini
Here are the matches for the given numbers with their correct descriptions:
1. **0.567** - This is a **rational** number (it can be expressed as a fraction, e.g., 567/1000).
2. **√17** - This is an **irrational** number (it cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion).
3. **0.123124125…** - This is a **rational** number (it has a repeating pattern).
4. **√49** - This is a **rational** number (it equals 7, which can be expressed as a fraction, e.g., 7/1).
5. **0.898989…** - This is a **rational** number (it has a repeating pattern of "89").
So, the final matches are:
- **0.567**: Rational
- **√17**: Irrational
- **0.123124125…**: Rational
- **√49**: Rational
- **0.898989…**: Rational
1. **0.567** - This is a **rational** number (it can be expressed as a fraction, e.g., 567/1000).
2. **√17** - This is an **irrational** number (it cannot be expressed as a simple fraction and has a non-repeating, non-terminating decimal expansion).
3. **0.123124125…** - This is a **rational** number (it has a repeating pattern).
4. **√49** - This is a **rational** number (it equals 7, which can be expressed as a fraction, e.g., 7/1).
5. **0.898989…** - This is a **rational** number (it has a repeating pattern of "89").
So, the final matches are:
- **0.567**: Rational
- **√17**: Irrational
- **0.123124125…**: Rational
- **√49**: Rational
- **0.898989…**: Rational