Chapter 1.4, Problem 21PPS

To determine

To evaluate: the given expression.

Answer to Problem 21PPS

  $-\left|abc\right|=-63$

Explanation of Solution

Given information:

Given expression

  $-\left|abc\right|$

And

  $a=-3,b=-5$ , and $c=4.2$ .

Concept used:

Absolute value of a function a is given by

  $\left|a\right|=\{\begin{array}{l}aa>0\\ -aa<0\\ 0a=0\end{array}$ \

And

  $\begin{array}{l}\left|-a\right|=a\\ \left|a\right|=a\end{array}$

Calculation:

Consider the given expression.

  $-\left|abc\right|$

Substitute the value of $a,b$ and $c$ in the given expression,

  $\begin{array}{c}-\left|abc\right|=-\left|\left(-3\right)\left(-5\right)\left(4.2\right)\right|\\ =-\left|15\cdot 4.2\right|\\ =-\left|63\right|\\ =-63\left[\left|a\right|=a\right]\end{array}$

Hence, the value of the expressionis $-63$ .