Chapter 7.1, Problem 53CCR

To determine

Evaluate the expression $\frac{108}{m}$ if $m=-9$ .

Answer to Problem 53CCR

  $-12$

Explanation of Solution

Given information:

The expression is $\frac{108}{m}$ if $m=-9$ .

Concept Used:

Rules of Addition/ Subtraction:

• Two numbers with similar sign always get added and the resulting number will carry the similar sign.
• Two numbers with opposite signs always get subtracted and the resulting number will carry the sign of larger number.

Rules of Multiplication/ Division:

• The product/quotient of two similar sign numbers is always positive.
• The product/quotient of two numbers with opposite signs is always negative.

Calculation:

In order to evaluate the expression $\frac{108}{m}$ , first putting the value of $m=-9$ and then solving it as shown below:

  $\begin{array}{l}\frac{108}{m}=\frac{108}{-9}\\ =-12\\ \end{array}$

Thus, the value of the expression is -12.