Question
which of the following are ratinoal numbers?
3
10.777...
5
4/10
3
10.777...
5
4/10
Answers
Answered by
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 analyze each of the given numbers:
1. **3**: This can be expressed as \( \frac{3}{1} \), so it is a rational number.
2. **10.777...**: This represents a repeating decimal (10.777...) which can be expressed as a fraction. Therefore, it is a rational number.
3. **5**: This can also be expressed as \( \frac{5}{1} \), making it a rational number.
4. **4/10**: This is already in the form of a fraction, and it represents a rational number (it can also be simplified to \( \frac{2}{5} \)).
All of the listed numbers (3, 10.777..., 5, 4/10) are rational numbers.
1. **3**: This can be expressed as \( \frac{3}{1} \), so it is a rational number.
2. **10.777...**: This represents a repeating decimal (10.777...) which can be expressed as a fraction. Therefore, it is a rational number.
3. **5**: This can also be expressed as \( \frac{5}{1} \), making it a rational number.
4. **4/10**: This is already in the form of a fraction, and it represents a rational number (it can also be simplified to \( \frac{2}{5} \)).
All of the listed numbers (3, 10.777..., 5, 4/10) are rational numbers.