Question

four scientists measured the distance in miles across an ocean trench using different methods. their results are in the table below.

scientist name	distance measured (in miles)
brown	$3.overline{45}$
jefferson	$3\frac{1}{2}$
foster	$sqrt{10}$

which lists the scientists in order from the shortest distance to the longest?

Explanation:

Step1: Convert all values to decimals

$\frac{10}{3}=3.333\cdots$, $3\frac{1}{2} = 3.5$, $\sqrt{10}\approx3.162$

Step2: Compare the decimal - values

$3.162(\sqrt{10})<3.333\cdots(\frac{10}{3})<3.45<3.5(3\frac{1}{2})$

Answer:

Foster, Aguilar, Brown, Jefferson