Chapter 4, Problem 67CR

To determine

To replace each $*$ with a $<,>\text{ or }=$ .

Answer to Problem 67CR

  $-11\frac{1}{9}>-\sqrt{124}$

Explanation of Solution

Given information:

The given statement is:

  $-11\frac{1}{9}*-\sqrt{124}$

Express each number as a decimal and then compare the decimals.

  $\begin{array}{l}-11\frac{1}{9}*-\sqrt{124}\\ =-\mathrm{11.111...}*-\mathrm{11.135...}\end{array}$

Plot the decimals on a number line:

  

Since, $-\mathrm{11.111...}$ is to the right of $-\mathrm{11.135...}$

Hence, $-\mathrm{11.111...}$ is greater than $-\mathrm{11.135...}$ , $-11\frac{1}{9}>-\sqrt{124}$