Question
Which of the following are rational numbers?
194.265
square root of 289
pi
765.4
194.265
square root of 289
pi
765.4
Answers
GPT-4o mini
Rational numbers are numbers that can be expressed as the quotient or fraction of two integers (where the denominator is not zero). Let's evaluate each of the given numbers:
1. **194.265**: This is a decimal number that can be expressed as a fraction (e.g., 194265/1000). Thus, it is a rational number.
2. **Square root of 289**: The square root of 289 is 17, which can also be expressed as the fraction 17/1. Therefore, it is a rational number.
3. **Pi (π)**: Pi is an irrational number; it cannot be expressed as a fraction of two integers. Thus, it is **not** a rational number.
4. **765.4**: This can also be expressed as a fraction (e.g., 7654/10). Therefore, it is a rational number.
In summary, the rational numbers from your list are:
- 194.265
- Square root of 289 (17)
- 765.4
Pi is not a rational number.
1. **194.265**: This is a decimal number that can be expressed as a fraction (e.g., 194265/1000). Thus, it is a rational number.
2. **Square root of 289**: The square root of 289 is 17, which can also be expressed as the fraction 17/1. Therefore, it is a rational number.
3. **Pi (π)**: Pi is an irrational number; it cannot be expressed as a fraction of two integers. Thus, it is **not** a rational number.
4. **765.4**: This can also be expressed as a fraction (e.g., 7654/10). Therefore, it is a rational number.
In summary, the rational numbers from your list are:
- 194.265
- Square root of 289 (17)
- 765.4
Pi is not a rational number.