Question
what is -3/7?
an integer
a natural number
a rational number
an irrational number
an integer
a natural number
a rational number
an irrational number
Answers
GPT-4o mini
The number \(-\frac{3}{7}\) is classified as a **rational number**.
Here's a breakdown of the classifications:
- **Integer**: Whole numbers that can be positive, negative, or zero. \(-\frac{3}{7}\) is not an integer.
- **Natural number**: Positive integers (1, 2, 3, ...) and does not include negative numbers or zero. \(-\frac{3}{7}\) is not a natural number.
- **Rational number**: A number that can be expressed as the quotient of two integers, where the denominator is not zero. Since \(-\frac{3}{7}\) can be expressed as \(-3\) (the numerator) divided by \(7\) (the denominator), it is a rational number.
- **Irrational number**: Numbers that cannot be expressed as a fraction of two integers. \(-\frac{3}{7}\) is not an irrational number.
So, the correct answer is that \(-\frac{3}{7}\) is a **rational number**.
Here's a breakdown of the classifications:
- **Integer**: Whole numbers that can be positive, negative, or zero. \(-\frac{3}{7}\) is not an integer.
- **Natural number**: Positive integers (1, 2, 3, ...) and does not include negative numbers or zero. \(-\frac{3}{7}\) is not a natural number.
- **Rational number**: A number that can be expressed as the quotient of two integers, where the denominator is not zero. Since \(-\frac{3}{7}\) can be expressed as \(-3\) (the numerator) divided by \(7\) (the denominator), it is a rational number.
- **Irrational number**: Numbers that cannot be expressed as a fraction of two integers. \(-\frac{3}{7}\) is not an irrational number.
So, the correct answer is that \(-\frac{3}{7}\) is a **rational number**.