Here’s how to categorize the numbers based on your questions regarding their decimal forms, nature, and classification:
Number: 2.56
- Repeating: No
- Terminating: Yes
- Non-Terminating: No
- Rational: Yes
- Irrational: No
Number: 2.565656...
- Repeating: Yes
- Terminating: No
- Non-Terminating: Yes
- Rational: Yes
- Irrational: No
Number: 2.5671231...
- Repeating: No (it's a non-repeating decimal)
- Terminating: No
- Non-Terminating: Yes
- Rational: No (assuming it doesn't repeat and is non-terminating)
- Irrational: Yes (if it continues without a repeating pattern)
Number: 2
- Repeating: No
- Terminating: Yes
- Non-Terminating: No
- Rational: Yes
- Irrational: No
Fill in the blanks accordingly!