Question

order these numbers from least to greatest. 16\frac{3}{10}, -\sqrt{270}, -\frac{50}{3}, -16.\overline{5}. note that for this question you can use your mouse to drag the numbers into their positions.

Explanation:

Step1: Convert mixed - number to decimal

$16\frac{3}{10}=16 + \frac{3}{10}=16.3$

Step2: Approximate the square - root value

We know that $16^2 = 256$ and $17^2=289$, so $\sqrt{270}\approx16.43$. Then $-\sqrt{270}\approx - 16.43$

Step3: Convert fraction to decimal

$-\frac{50}{3}=-16.\overline{6}$

Step4: Compare the numbers

$-16.\overline{6}<-16.5 < - 16.43<16.3$

Answer:

$-\frac{50}{3}<-16.\overline{5}<-\sqrt{270}<16\frac{3}{10}$