Chapter 12, Problem 7CLR

To determine

To Evaluate: The simplified value of the expression $5·58-7·58-\left(-58\right)$ .

Answer to Problem 7CLR

The value of the expression $5·58-7·58-\left(-58\right)$ is $-58$ .

Explanation of Solution

Given information:

The expression is $5·58-7·58-\left(-58\right)$ .

Formula used:

The distribution laws stated as multiply a number by groups of numbers having subtraction

operation between them same as multiplication done separately. That is,

  $a(b-c-d)=ab-ac-ad$

The expression within the parentheses should be simplified first.

Calculation:

Consider the express is $5·58-7·58-\left(-58\right)$ .

Recall that the distribution laws stated as multiply a number by groups of numbers having

subtraction operation between them same as multiplication done separately. That is,

  $a(b-c-d)=ab-ac-ad$

Use it in reverse way, the expression $5·58-7·58-\left(-58\right)$ replace as:

  $58\left(5-7-\left(-1\right)\right)$

Again recall that the expression within the parentheses should be simplified first.

Use it,

  $\begin{array}{c}58\left(5-7-\left(-1\right)\right)=58\times \left(-1\right)\\ =-58\end{array}$

Thus, the value of the expression $5·58-7·58-\left(-58\right)$ is $-58$ .