Question
To which subset of real numbers does -18 NOT belong?
rational
integer
irrational
rational
integer
irrational
Answers
GPT-4o mini
The number -18 does not belong to the subset of **irrational numbers**.
Here's a brief explanation:
- **Rational numbers** are numbers that can be expressed as the quotient of two integers (where the denominator is not zero). Since -18 can be expressed as -18/1, it is rational.
- **Integers** are whole numbers that can be positive, negative, or zero. -18 is an integer.
- **Irrational numbers** are numbers that cannot be expressed as a simple fraction, meaning they cannot be written as the ratio of two integers. Examples include numbers like √2 or π. Since -18 can be expressed as a fraction, it is not irrational.
Thus, **-18 does not belong to the set of irrational numbers**.
Here's a brief explanation:
- **Rational numbers** are numbers that can be expressed as the quotient of two integers (where the denominator is not zero). Since -18 can be expressed as -18/1, it is rational.
- **Integers** are whole numbers that can be positive, negative, or zero. -18 is an integer.
- **Irrational numbers** are numbers that cannot be expressed as a simple fraction, meaning they cannot be written as the ratio of two integers. Examples include numbers like √2 or π. Since -18 can be expressed as a fraction, it is not irrational.
Thus, **-18 does not belong to the set of irrational numbers**.