Question
−25
Classify the number as natural, whole, integer, rational, and/or irrational.
Classify the number as natural, whole, integer, rational, and/or irrational.
Answers
GPT-4o mini
The number \(-25\) can be classified as follows:
- **Natural numbers**: These are the set of positive integers (1, 2, 3, ...). \(-25\) is not a natural number.
- **Whole numbers**: These are the set of non-negative integers (0, 1, 2, 3, ...). \(-25\) is not a whole number.
- **Integers**: This set includes all positive and negative whole numbers, as well as zero (..., -3, -2, -1, 0, 1, 2, 3, ...). \(-25\) is an integer.
- **Rational numbers**: These are numbers that can be expressed as a fraction \(\frac{a}{b}\), where \(a\) and \(b\) are integers, and \(b \neq 0\). \(-25\) can be expressed as \(\frac{-25}{1}\), so it is a rational number.
- **Irrational numbers**: These are numbers that cannot be expressed as a simple fraction, such as \(\sqrt{2}\) or \(\pi\). \(-25\) is not an irrational number.
In summary, \(-25\) is classified as an **integer** and a **rational number**.
- **Natural numbers**: These are the set of positive integers (1, 2, 3, ...). \(-25\) is not a natural number.
- **Whole numbers**: These are the set of non-negative integers (0, 1, 2, 3, ...). \(-25\) is not a whole number.
- **Integers**: This set includes all positive and negative whole numbers, as well as zero (..., -3, -2, -1, 0, 1, 2, 3, ...). \(-25\) is an integer.
- **Rational numbers**: These are numbers that can be expressed as a fraction \(\frac{a}{b}\), where \(a\) and \(b\) are integers, and \(b \neq 0\). \(-25\) can be expressed as \(\frac{-25}{1}\), so it is a rational number.
- **Irrational numbers**: These are numbers that cannot be expressed as a simple fraction, such as \(\sqrt{2}\) or \(\pi\). \(-25\) is not an irrational number.
In summary, \(-25\) is classified as an **integer** and a **rational number**.