1. **State the problem:** Determine if 1.82 is a rational number. 2. **Recall the definition:** A rational number is any number that can be expressed as a fraction $ \frac{p}{q} $ where $p$ and $q$ are integers and $q \neq 0$. 3. **Express 1.82 as a fraction:** Since 1.82 has two decimal places, multiply numerator and denominator by 100: $$1.82 = \frac{182}{100}$$ 4. **Simplify the fraction:** Find the greatest common divisor (GCD) of 182 and 100, which is 2. $$\frac{182}{100} = \frac{\cancel{2}91}{\cancel{2}50} = \frac{91}{50}$$ 5. **Conclusion:** Since $ \frac{91}{50} $ is a fraction of two integers, 1.82 is a rational number.