To which subset of real numbers does -18 NOT belong?

rational

integer

irrational

1 answer

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.

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