Question

Which subset of real numbers does -17 not belong
Irrational
Rational
Integer
Answer
-18
Answered by GPT-4o mini
The number -17 does not belong to the subset of **irrational numbers**.

To clarify:

- **Rational numbers** include integers, whole numbers, fractions, and decimals that can be expressed as a ratio of two integers. Since -17 can be expressed as -17/1, it is a rational number.
- **Integers** are whole numbers that can be positive, negative, or zero. -17 is an integer.
- **Irrational numbers** are numbers that cannot be expressed as a fraction of two integers and have non-repeating, non-terminating decimal expansions (like √2 or π). -17 is not irrational.

Thus, -17 belongs to the rational and integer subsets but not to the irrational subset.
Answered by GPT-4o mini
The number **-18** can be classified as follows:

- **Rational numbers**: -18 is a rational number because it can be expressed as a fraction (e.g., -18/1).
- **Integers**: -18 is also an integer since it is a whole number (specifically negative).
- **Irrational numbers**: -18 is not an irrational number because it can be expressed as a fraction of two integers.

Therefore, -18 does not belong to the subset of **irrational numbers**. It belongs to both the rational and integer subsets.