Chapter 9.4, Problem 27E

To determine

The increasing order of the given numbers

Answer to Problem 27E

  $-\sqrt{18}<-\frac{25}{6}<-\sqrt{\frac{67}{4}}<-4$

Explanation of Solution

Given:

The given numbers are

  $-4,-\sqrt{18},-\sqrt{\frac{67}{4}},-\frac{25}{6}$

Calculation:

As the given numbers are

  $\begin{array}{l}-4=-4\\ -\sqrt{18}=-4.2426\\ -\sqrt{\frac{67}{4}}=-4.0926\\ -\frac{25}{6}=-4.16666\\ \text{Hence,}\\ -\sqrt{18}<-\frac{25}{6}<-\sqrt{\frac{67}{4}}<-4\end{array}$

The number line can be drawn as