Chapter 1.5, Problem 54E

To determine

To calculate: The value of the given expression

  $8+\text{a+(-4)+c}$

Answer to Problem 54E

  $\text{The value of the given expression is -18}\text{.}$

Explanation of Solution

Given information :

  $\text{The value provided in the question for a = -14 and c = -8}\text{.}$

Calculation :

As per the given expression;

  $8+\text{a+(-4)+c}$

  $\begin{array}{l}\text{substitute the value -14 for a and add to 8,}\\ \text{8+ (-14) = -6}\text{.}\\ \text{As }\left|8\right|<\left|-14\right|,\text{so the sum has the sign of 14}.\end{array}$

  $\begin{array}{l}\text{Add -6 and (-4);}\\ \text{(-6)+(-4) = -10}\text{.}\end{array}$

As both the integers are negative, the sum is also negative.

  $\begin{array}{l}\text{substitute the value -8 for c and add to -10,}\\ \text{-10+ (-8) = -18}\text{.}\end{array}$

As both the integers are negative, the sum is also negative.

Therefore,

  $8+\text{a+(-4)+c = -18}\text{.}$

Hence,

  $\text{The value of the given expression is -18}\text{.}$