1. **State the problem:** Determine which of the numbers 60, 37.555..., 50.674, and \(\sqrt{39}\) are rational numbers. 2. **Recall the definition:** A rational number is any number that can be expressed as \(\frac{p}{q}\) where \(p\) and \(q\) are integers and \(q \neq 0\). 3. **Analyze each number:** - \(60\) is an integer, and all integers are rational because \(60 = \frac{60}{1}\). - \(37.555...\) is a repeating decimal (the digit 5 repeats infinitely). Repeating decimals are rational numbers because they can be expressed as fractions. - \(50.674\) is a terminating decimal. Terminating decimals are rational because they can be written as fractions (e.g., \(50.674 = \frac{50674}{1000}\)). - \(\sqrt{39}\) is an irrational number because 39 is not a perfect square, so its square root cannot be expressed as a fraction of integers. 4. **Conclusion:** - Rational numbers: \(60\), \(37.555...\), \(50.674\) - Irrational number: \(\sqrt{39}\)