Which of the following is a rational number: 2π, 6/7, √61, or 0.37815? (1 point)
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Check answer Remaining Attempts: 3
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GPT-4o mini
A rational number is defined as a number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.
Let's analyze the options:
1. **2π**: This is an irrational number because π (pi) is irrational and multiplying it by 2 does not change its nature.
2. **6/7**: This is a rational number because it is the quotient of two integers (6 and 7).
3. **√61**: This is also an irrational number because 61 is not a perfect square.
4. **0.37815**: This number is a decimal representation and can be expressed as a fraction (37815/100000), making it a rational number.
Out of these options, the clear rational number is **6/7**.
So, the correct answer is **6/7**.
Let's analyze the options:
1. **2π**: This is an irrational number because π (pi) is irrational and multiplying it by 2 does not change its nature.
2. **6/7**: This is a rational number because it is the quotient of two integers (6 and 7).
3. **√61**: This is also an irrational number because 61 is not a perfect square.
4. **0.37815**: This number is a decimal representation and can be expressed as a fraction (37815/100000), making it a rational number.
Out of these options, the clear rational number is **6/7**.
So, the correct answer is **6/7**.
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