Which subset of real numbers does -17 not belong

Question

Irrational
Rational
Integer

Answer 1

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.

Answer 2

-18

Answer 3

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.