Question
is 285 irrational
is 319/210 irrational
588.333.. irrational
is 319/210 irrational
588.333.. irrational
Answers
GPT-4o mini
To determine whether the numbers are rational or irrational, let's look at each one:
1. **285**: This is an integer, and all integers are considered rational numbers. Thus, 285 is rational.
2. **319/210**: This is a fraction (a ratio of two integers), and all fractions where both the numerator and denominator are integers (and the denominator is not zero) are considered rational numbers. Therefore, 319/210 is rational.
3. **588.333...**: This notation indicates a repeating decimal, specifically 588.333... (or 588.3 repeating). Since repeating decimals can be expressed as fractions (in this case, \(588 + \frac{1}{3}\)), they are also considered rational numbers. Thus, 588.333... is rational.
In summary:
- 285 is rational.
- 319/210 is rational.
- 588.333... is rational.
1. **285**: This is an integer, and all integers are considered rational numbers. Thus, 285 is rational.
2. **319/210**: This is a fraction (a ratio of two integers), and all fractions where both the numerator and denominator are integers (and the denominator is not zero) are considered rational numbers. Therefore, 319/210 is rational.
3. **588.333...**: This notation indicates a repeating decimal, specifically 588.333... (or 588.3 repeating). Since repeating decimals can be expressed as fractions (in this case, \(588 + \frac{1}{3}\)), they are also considered rational numbers. Thus, 588.333... is rational.
In summary:
- 285 is rational.
- 319/210 is rational.
- 588.333... is rational.