To determine whether the number \( 9 \cdot (-2) \) is rational or irrational, first calculate the expression:
\[ 9 \cdot (-2) = -18 \]
A number is considered rational if it can be expressed as the quotient of two integers (a fraction), where the denominator is not zero.
The number \(-18\) can be expressed as:
\[ \frac{-18}{1} \]
Since \(-18\) can be represented as a fraction of two integers, it is a rational number.
Thus, \( 9 \cdot (-2) \) is a rational number.
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