Question
which numbers are rational numbers?
- 0
- pi
-6.239654...
-3/5
-2.15
- 0
- pi
-6.239654...
-3/5
-2.15
Answers
GPT-4o mini
Rational numbers are numbers that can be expressed as the ratio of two integers, where the denominator is not zero. Let's evaluate each of the numbers you provided:
- **0**: This is a rational number because it can be expressed as \(0/1\).
- **π (pi)**: This is not a rational number. It is an irrational number because it cannot be expressed as a fraction of two integers.
- **6.239654...**: This number is a rational number if it terminates or can be represented as a repeating decimal. Since the ellipsis indicates that the number continues, it depends on whether it is a terminating or repeating decimal. If it does not repeat and is simply non-terminating, it is not rational.
- **-3/5**: This is a rational number because it is already expressed as a fraction of two integers.
- **-2.15**: This is a rational number because it can be expressed as \(-215/100\), which simplifies to \(-43/20\).
So, the rational numbers from your list are:
- 0
- -3/5
- -2.15
6.239654... may or may not be rational depending on whether it is a non-repeating decimal. If it is non-terminating and non-repeating, then it is not rational.
- **0**: This is a rational number because it can be expressed as \(0/1\).
- **π (pi)**: This is not a rational number. It is an irrational number because it cannot be expressed as a fraction of two integers.
- **6.239654...**: This number is a rational number if it terminates or can be represented as a repeating decimal. Since the ellipsis indicates that the number continues, it depends on whether it is a terminating or repeating decimal. If it does not repeat and is simply non-terminating, it is not rational.
- **-3/5**: This is a rational number because it is already expressed as a fraction of two integers.
- **-2.15**: This is a rational number because it can be expressed as \(-215/100\), which simplifies to \(-43/20\).
So, the rational numbers from your list are:
- 0
- -3/5
- -2.15
6.239654... may or may not be rational depending on whether it is a non-repeating decimal. If it is non-terminating and non-repeating, then it is not rational.