Question

7. Ordena los conjuntos de números reales de
menor a mayor.
2
a) -8; 3/5;0; -17/2:3; -2;1/2 ;1.

b) √25; 12/5;-4; √15;-10/3


c) √3; -3/2; raíz cúbica 8; ;0;-1; √7.

Answer 1

$a) \frac{3}{5} = 0.6 \\ - \frac{17}{2} \div 3 = - 8.5 \div 3 = - 2.8333 ... \\ \frac{1}{2} = 0.5 \\ - 8 < - \frac{17}{2} \div 3 < - 2 < 0 < \frac{1}{2} < \frac{3}{5} < 1$

$b) \sqrt{25} = 5 \\ \frac{12}{5} = 2.4 \\ \sqrt{15} = 3.8729 ... \\ - \frac{10}{3} = - 3.33 ... \\ - 4 < - \frac{10}{3} < \frac{12}{5} < \sqrt{15} < \sqrt{25}$

$c) \sqrt{3 } = 1.7320 ... \\ - \frac{3}{2} = - 1.5 \\ \sqrt[3]{8} = 2 \\ \sqrt{7} = 2.6457 ... \\ - \frac{3}{2} < - 1 < 0 < \sqrt{3} < \sqrt[3]{8} < \sqrt{7}$