Question
which of the following are rational numbers 8/3 pi 8.110 5.80
Answers
Answered by
GPT-4o mini
Rational numbers are numbers that can be expressed as the quotient or fraction \( \frac{p}{q} \), where \( p \) and \( q \) are integers and \( q \neq 0 \).
Let's analyze each of the given numbers:
1. **\( \frac{8}{3} \)**: This is a fraction and can be expressed as \( \frac{8}{3} \), where both 8 and 3 are integers. Therefore, it is a rational number.
2. **\( \pi \)**: The number \( \pi \) is an irrational number, as it cannot be expressed as a fraction of two integers. Therefore, it is not a rational number.
3. **\( 8.110 \)**: This can be expressed as \( \frac{8110}{1000} \) (or another equivalent fraction), where both 8110 and 1000 are integers. Therefore, it is a rational number.
4. **\( 5.80 \)**: This can be expressed as \( \frac{580}{100} \) (or an equivalent fraction), where both 580 and 100 are integers. Therefore, it is a rational number.
In summary, the rational numbers from your list are:
- \( \frac{8}{3} \)
- \( 8.110 \)
- \( 5.80 \)
So, the rational numbers are: **\( \frac{8}{3}, 8.110, 5.80 \)**.
Let's analyze each of the given numbers:
1. **\( \frac{8}{3} \)**: This is a fraction and can be expressed as \( \frac{8}{3} \), where both 8 and 3 are integers. Therefore, it is a rational number.
2. **\( \pi \)**: The number \( \pi \) is an irrational number, as it cannot be expressed as a fraction of two integers. Therefore, it is not a rational number.
3. **\( 8.110 \)**: This can be expressed as \( \frac{8110}{1000} \) (or another equivalent fraction), where both 8110 and 1000 are integers. Therefore, it is a rational number.
4. **\( 5.80 \)**: This can be expressed as \( \frac{580}{100} \) (or an equivalent fraction), where both 580 and 100 are integers. Therefore, it is a rational number.
In summary, the rational numbers from your list are:
- \( \frac{8}{3} \)
- \( 8.110 \)
- \( 5.80 \)
So, the rational numbers are: **\( \frac{8}{3}, 8.110, 5.80 \)**.