Questions: Use a calculator to help list the given numbers in order from smallest to largest. (87/28), (2198/600), √13, 3.773, √8, (494/233) Order the given numbers from smallest to largest.

Solution Steps

To solve this problem, we need to convert all the given numbers into their decimal form. Once we have the decimal equivalents, we can easily sort them from smallest to largest. Finally, we will map the sorted decimal values back to their original forms to fill in the ordinal ranking table.

First, we convert each given number to its decimal form: \[ \frac{87}{28} \approx 3.1071, \quad \frac{2198}{600} \approx 3.6633, \quad \sqrt{13} \approx 3.6056, \quad 3.773, \quad \sqrt{8} \approx 2.8284, \quad \frac{494}{233} \approx 2.1202 \]

Next, we sort these decimal values from smallest to largest: \[ 2.1202, \quad 2.8284, \quad 3.1071, \quad 3.6056, \quad 3.6633, \quad 3.773 \]

We then map these sorted decimal values back to their original forms: \[ \frac{494}{233}, \quad \sqrt{8}, \quad \frac{87}{28}, \quad \sqrt{13}, \quad \frac{2198}{600}, \quad 3.773 \]

Final Answer