Problem
Order the numbers from greatest to least and then select the best answer choice. (A) \( 5 \frac{1}{4}, 3.5, \sqrt{10}, \frac{2}{3},-2.5,-\sqrt[3]{27} \) (B) \( 5 \frac{1}{4}, \sqrt{10}, 3.5, \frac{2}{3},-2.5,-\sqrt[3]{27} \) (C) \( 5 \frac{1}{4}, 3.5, \sqrt{10}, \frac{2}{3},-\sqrt[3]{27},-2.5 \) (D) \( 5 \frac{1}{4}, \sqrt{10}, 3.5, \frac{2}{3},-\sqrt[3]{27},-2.5 \)
Solution
Step 1 ：Convert mixed number to an improper fraction: \( 5 \frac{1}{4} = \frac{21}{4} \)
Step 2 ：Evaluate fractions, square roots, and cube roots: \( \frac{21}{4} = 5.25, \sqrt{10} \approx 3.16, \frac{2}{3} \approx 0.67, -\sqrt[3]{27} = -3 \)
Step 3 ：Order the numbers from greatest to least: \( 5.25, 3.5, 3.16, 0.67, -2.5, -3 \)
