Chapter 1.5, Problem 50E

To determine

To calculate : The sum of the given expression:

  $90+(-24)+(-6)+5$

Answer to Problem 50E

  $\text{The sum of the expression is 65}\text{.}$

Explanation of Solution

Given information :

Consider the expression provided in the expression:

  $90+(-24)+(-6)+5$

Calculation :

As per the given expression;

  $90+(-24)+(-6)+5$

  $\begin{array}{l}\text{Add 90 and (-24),}\\ 90+(-24)=66.\\ \text{As }\left|90\right|>\left|-24\right|,\text{ so the sum has the same sign as 90}\text{.}\end{array}$

  $\begin{array}{l}\text{Now, add 66 and (-6),}\\ 66+(-6)=60.\\ \text{As }\left|66\right|>\left|-6\right|,\text{ so the sum has the same sign as 66}\text{.}\end{array}$

  $\begin{array}{l}\text{Now, add 60 and 5,}\\ 60+5=65.\end{array}$

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

Hence,

  $\text{The sum of the expression is 65}\text{.}$