Question

order these numbers from least to greatest:
\\(\frac{89}{7}\\), \\(-\sqrt{134}\\), \\(11\frac{5}{19}\\), \\(-11.6\\)
note that for this question you can use your phone to help the numbers into your geoboard.

Explanation:

Step1: Convert all to decimals

$\frac{80}{7} \approx 11.4286$, $-\sqrt{133} \approx -11.5326$, $11\frac{5}{16} = 11.3125$, $-11.6$

Step2: Order from least to greatest

Compare decimal values: $-11.6 < -11.5326 < 11.3125 < 11.4286$

Step3: Map back to original terms

Replace decimals with original expressions

Answer:

$-11.6 < -\sqrt{133} < 11\frac{5}{16} < \frac{80}{7}$