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8. Order the numbers from greatest to least. \begin{tabular}{|l}\( \equiv-\sqrt{12} \) \\ \( \equiv \sqrt{15} \) \\ \( \equiv-4.3 \) \\ \( \equiv \frac{14}{5} \) \\ \( \equiv 3 \)\end{tabular}

Ask by Higgins Cole. in the United States
Jan 17,2025

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Answer

The numbers ordered from greatest to least are: \[ \sqrt{15}, \quad 3, \quad \frac{14}{5}, \quad -\sqrt{12}, \quad -4.3 \]

Solution

To order the given numbers from greatest to least, let's first evaluate each number: 1. **\(-\sqrt{12}\)** \[ \sqrt{12} \approx 3.464 \\ -\sqrt{12} \approx -3.464 \] 2. **\(\sqrt{15}\)** \[ \sqrt{15} \approx 3.873 \] 3. **\(-4.3\)** \[ -4.3 \text{ is already in decimal form.} \] 4. **\(\frac{14}{5}\)** \[ \frac{14}{5} = 2.8 \] 5. **\(3\)** \[ 3 \text{ is already in decimal form.} \] Now, let's list the numbers with their approximate decimal values: - \(\sqrt{15} \approx 3.873\) - \(3 = 3.0\) - \(\frac{14}{5} = 2.8\) - \(-\sqrt{12} \approx -3.464\) - \(-4.3 = -4.3\) **Ordered from Greatest to Least:** 1. \(\sqrt{15}\) ≈ **3.873** 2. \(3\) ≈ **3.0** 3. \(\frac{14}{5}\) = **2.8** 4. \(-\sqrt{12}\) ≈ **-3.464** 5. \(-4.3\) = **-4.3** **Final Order:** \[ \sqrt{15}, \quad 3, \quad \frac{14}{5}, \quad -\sqrt{12}, \quad -4.3 \]

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To order the numbers from greatest to least, let's first convert the expressions into decimal form or approximate them: 1. \( \equiv -\sqrt{12} \approx -3.46 \) 2. \( \equiv \sqrt{15} \approx 3.87 \) 3. \( \equiv -4.3 = -4.3 \) 4. \( \equiv \frac{14}{5} = 2.8 \) 5. \( \equiv 3 = 3 \) Now ordering these from greatest to least: 1. \( \sqrt{15} \approx 3.87 \) 2. \( 3 \) 3. \( \frac{14}{5} = 2.8 \) 4. \( -\sqrt{12} \approx -3.46 \) 5. \( -4.3 \) So, the complete ordered list is: \( \sqrt{15}, 3, \frac{14}{5}, -\sqrt{12}, -4.3 \).

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