Chapter 1.5, Problem 52E

To determine

To calculate: The value of the given expression

  $\text{a+b+c}$

Answer to Problem 52E

  $\text{The value of the given expression is -17}\text{.}$

Explanation of Solution

Given information :

  $\text{The value provided in the question for a = -14, b = 5 and c = -8}\text{.}$

Calculation :

As per the given expression;

  $\text{a+b+c}$

  $\text{substitute the value -14 for a and 5 for b,}$

  $\text{a+b}=\text{(-14)+ 5 = -9}\text{.}$

  $\text{As }\left|-14\right|>\left|5\right|,\text{so the sum has the sign of }14.$

  $\text{substitute the value -8 for c and a+b = -9,}$

Therefore,

  $\text{a+b+c = -9 + (-8) = -17}\text{.}$

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

Hence,

  $\text{The value of the given expression is -17}\text{.}$