Chapter 11.1, Problem 7WE

To determine

The proper sign to make given statement correct.

Answer to Problem 7WE

The correct statement is $-18\frac{2}{5}>-\frac{131}{7}$ .

Explanation of Solution

Given statement:

  $-18\frac{2}{5}\_\_\_\_-\frac{131}{7}$

Calculation:

From the given statement, we have to identify the first number is <,=,> the second number.

Formula:

  $\begin{array}{l}\frac{a}{c}>\frac{b}{d},\left(\text{if }ad>bd\right),\\ \frac{a}{c}<\frac{b}{d},\left(\text{if }ad<bd\right)\end{array}$

Now,

  $\begin{array}{l}-18\frac{2}{5}\_\_\_\_-\frac{131}{7}\\ -\frac{92}{5}\_\_\_\_-\frac{131}{7}\\ -92\times 7\_?\_-131\times 5\\ -644>-655\end{array}$

Therefore,

  $-18\frac{2}{5}>-\frac{131}{7}$

The correct statement is $-18\frac{2}{5}>-\frac{131}{7}$ .