To categorize the numbers into "Rational Numbers" and "Irrational Numbers," we need to define each category:
- Rational Numbers: Numbers that can be expressed as a fraction of two integers (where the denominator is not zero).
- Irrational Numbers: Numbers that cannot be expressed as a simple fraction; their decimal representation is non-repeating and non-terminating.
Now, let's categorize the provided numbers:
Rational Numbers:
- 0 (can be expressed as 0/1)
- 3/5 (fraction)
- 2.15 (can be expressed as 215/100 or 43/20)
- 6.239654 (can be expressed as 6239654/1000000)
Irrational Numbers:
- pi (approximately 3.14159..., non-repeating and non-terminating)
So, the correct placements would be:
Rational Numbers:
- 0
- 3/5
- 2.15
- 6.239654
Irrational Numbers:
- pi