Question
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1. Ordena a los números \( \frac{4}{3}, 1 \frac{2}{3}, 1 \frac{6}{6}, 0,-\frac{5}{6}, \frac{8}{3},-\frac{1}{3},-\frac{3}{3}, 2 \frac{4}{6},-\frac{2}{3}, \frac{5}{2} \)

Ask by Morrison Schmidt. in Mexico
Feb 27,2025

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Answer

Los números ordenados de menor a mayor son: –3/3, –5/6, –2/3, –1/3, 0, 4/3, 1 2/3, 1 6/6, 5/2, 2 4/6, 8/3.

Solution

Primero, escribamos cada número en forma impropia o decimal (cuando sea útil) para facilitar la comparación: 1) 4/3 ≈ 1,33 2) 1 2/3 = 1 + 2/3 = 5/3 ≈ 1,67 3) 1 6/6 = 1 + 6/6 = 1 + 1 = 2 4) 0 5) –5/6 ≈ –0,83 6) 8/3 ≈ 2,67 7) –1/3 ≈ –0,33 8) –3/3 = –1 9) 2 4/6 = 2 + 4/6 = 2 + 2/3 = 8/3 ≈ 2,67 10) –2/3 ≈ –0,67 11) 5/2 = 2,5 Ahora, organicemos de menor a mayor: A) Números negativos: • –3/3 = –1 • –5/6 ≈ –0,83 • –2/3 ≈ –0,67 • –1/3 ≈ –0,33 B) Cero: • 0 C) Números positivos: • 4/3 ≈ 1,33 • 1 2/3 (o 5/3) ≈ 1,67 • 1 6/6 = 2 • 5/2 = 2,5 • 2 4/6 = 8/3 ≈ 2,67 • 8/3 ≈ 2,67 Por lo tanto, el orden de los números de menor a mayor es: –3/3, –5/6, –2/3, –1/3, 0, 4/3, 1 2/3, 1 6/6, 5/2, 2 4/6, 8/3.

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Beyond the Answer

Para ordenar los números de menor a mayor, primero es útil convertir los números mixtos y fraccionarios a fracciones impropias o a un formato decimal. Aquí, estos son los valores convertidos: - \( \frac{4}{3} = 1.33 \) - \( 1 \frac{2}{3} = \frac{5}{3} \approx 1.67 \) - \( 1 \frac{6}{6} = 2 \) - \( 0 = 0 \) - \( -\frac{5}{6} \approx -0.83 \) - \( \frac{8}{3} \approx 2.67 \) - \( -\frac{1}{3} \approx -0.33 \) - \( -\frac{3}{3} = -1 \) - \( 2 \frac{4}{6} = 2 \frac{2}{3} \approx 2.67 \) - \( -\frac{2}{3} \approx -0.67 \) - \( \frac{5}{2} = 2.5 \) Ahora, ordenamos estos valores: 1. \( -\frac{3}{3} = -1 \) 2. \( -\frac{5}{6} \approx -0.83 \) 3. \( -\frac{2}{3} \approx -0.67 \) 4. \( -\frac{1}{3} \approx -0.33 \) 5. \( 0 \) 6. \( \frac{4}{3} \approx 1.33 \) 7. \( 1 \frac{2}{3} = \frac{5}{3} \approx 1.67 \) 8. \( \frac{5}{2} = 2.5 \) 9. \( 2 \frac{4}{6} = 2 \frac{2}{3} \approx 2.67 \) 10. \( \frac{8}{3} \approx 2.67 \) 11. \( 1 \frac{6}{6} = 2 \) Finalmente, la lista ordenada de menor a mayor es: \( -1, -\frac{5}{6}, -\frac{2}{3}, -\frac{1}{3}, 0, \frac{4}{3}, 1 \frac{2}{3}, \frac{5}{2}, 2, 2 \frac{4}{6}, \frac{8}{3} \) O en notación fraccionaria: \( -\frac{3}{3}, -\frac{5}{6}, -\frac{2}{3}, -\frac{1}{3}, 0, \frac{4}{3}, 1 \frac{2}{3}, \frac{5}{2}, 1 \frac{6}{6}, 2 \frac{4}{6}, \frac{8}{3} \)

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