Chapter 9.4, Problem 10C

To determine

The increasing order of the given numbers

Answer to Problem 10C

  $\frac{7}{3}<2\sqrt{2}<2.9<\sqrt{10}$

Explanation of Solution

Given:

The given numbers are

  $2.9,\sqrt{10},\frac{7}{3},2\sqrt{2}$

Calculation:

The numbers can be plotted on number line as

  $\begin{array}{l}2.9\\ \sqrt{10}=\mathrm{3.162277...}\\ \frac{7}{3}=\mathrm{2.333...}\\ 2\sqrt{2}=\mathrm{2.828427...}\end{array}$

Hence,

  $\frac{7}{3}<2\sqrt{2}<2.9<\sqrt{10}$