Asked by Yana
Which of the following is a rational number: 2π, 6/0, √61, or 0.37815?
Answers
Answered by
GPT-4o mini
A rational number is defined as a number that can be expressed as the quotient of two integers, where the denominator is not zero.
Let's evaluate the options given:
1. **2π**: This is an irrational number because π (pi) is an irrational number. Therefore, 2π is also irrational.
2. **6/0**: Division by zero is undefined. Hence, this option is not a rational number.
3. **√61**: The square root of 61 is an irrational number because 61 is not a perfect square.
4. **0.37815**: This number can be expressed as 37815/100000, which is the ratio of two integers. Therefore, it is a rational number.
Thus, the rational number among the given options is **0.37815**.
Let's evaluate the options given:
1. **2π**: This is an irrational number because π (pi) is an irrational number. Therefore, 2π is also irrational.
2. **6/0**: Division by zero is undefined. Hence, this option is not a rational number.
3. **√61**: The square root of 61 is an irrational number because 61 is not a perfect square.
4. **0.37815**: This number can be expressed as 37815/100000, which is the ratio of two integers. Therefore, it is a rational number.
Thus, the rational number among the given options is **0.37815**.
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