Without performing division, determine whether the decimal expansion of $\frac{18}{125}$ is terminating or non-terminating? If it terminates, state the number of decimal places.

$125 = 5^3$.
 Denominator has only 5 as prime factor, so $\frac{18}{125}$ terminates.

Multiply numerator and denominator by

$$2^3 = 8: \frac{18}{125} = \frac{144}{1000} = 0.144$$

Number of decimal places = 3.