Chapter 1.4, Problem 7E

To determine

To simplify the expression $-|-5\cdot (-7)|.$

Answer to Problem 7E

  $-35$

Explanation of Solution

Given:

  $-|-5\cdot (-7)|$

Concept Used:

  $\begin{array}{l}\left|x\right|=x,\text{ for }x>0\hfill \\ =0,\text{ for }x=0\hfill \\ =-x,\text{ for }x<0\hfill \end{array}$

Calculation:

Now, given $-|-5\cdot (-7)|$ ,

  $\Rightarrow -|-5\cdot (-7)|=-\left|35\right|$

  $\Rightarrow -|-5\cdot (-7)|=-(35)$ (Using $\left|x\right|=x,\text{ for }x>0$ )

  $\Rightarrow -|-5\cdot (-7)|=-35$

Conclusion:

Therefore, the simplified expression is $-35$ .