Chapter 3, Problem 34E

a.

Program Plan Intro

Given information:

• The signed value of W is 17.
• The signed value of X is 28.
• The signed value of Y is -29.
• The signed value of Z is -13.

Explanation of Solution

Evaluation of expression “X+Y”:

Evaluate the value of the given expression “X+Y” by substituting the value of “X” as “28” and “Y” as “-29” in the expression. The result is,

$\begin{array}{l}X+Y =28+(-29)\hfill \\ =-1\hfill \end{array}$

Therefore, the calculated value of given expression is “-1”.

Explanation of Solution

b.

Evaluation of expression “X+W”:

Evaluate the value of the given expression “X+W” by substituting the value of “X” as “28” and “W” as “-17” in the expression. The result is,

$\begin{array}{l}X+W =28+17\hfill \\ =45\hfill \end{array}$

Therefore, the calculated value of given expression is “45”.

Explanation of Solution

c.

Evaluation of expression “Z+W”:

Evaluate the value of the given expression “Z+W” by substituting the value of “Z” as “-13” and “W” as “17” in the expression. The result is,

$\begin{array}{l}Z+W =(-13)+17\hfill \\ =4\hfill \end{array}$

Therefore, the calculated value of given expression is “4”.

Explanation of Solution

d.

Evaluation of expression “Y+Z”:

Evaluate the value of the given expression “Y+Z” by substituting the value of “Y” as “-29” and “Z” as “-13” in the expression. The result is,

$\begin{array}{l}Y+Z =(-29)+(-13)\hfill \\ =-42\hfill \end{array}$

The calculated value of given expression is “-42”.

Explanation of Solution

e.

Evaluation of expression “W-Z”:

Evaluate the value of the given expression “W-Z” by substituting the value of “W” as “17” and “Z” as “-13” in the expression. The result is,

$\begin{array}{l}W-Z =17-(-13)\hfill \\ =30\hfill \end{array}$

Therefore, the calculated value of given expression is “30”.

Explanation of Solution

f.

Evaluation of expression “X-W”:

Evaluate the value of the given expression “X-W” by substituting the value of “X” as “28” and “W” as “-17” in the expression. The result is,

$\begin{array}{l}X-W =28-17\hfill \\ =11\hfill \end{array}$

Therefore, the calculated value of given expression is “11”.

Explanation of Solution

g.

Evaluation of expression “Y-W”:

Evaluate the value of the given expression “Y-W” by substituting the value of “Y” as “-29” and “W” as “17” in the expression. The result is,

$\begin{array}{l}Y-W =(-29)-17\hfill \\ =-46\hfill \end{array}$

Therefore, the calculated value of given expression is “-46”.

Explanation of Solution

h.

Evaluation of expression “Z-Y”:

Evaluate the value of the given expression “Z-Y” by substituting the value of “Z” as “-13” and “Y” as “-29” in the expression. The result is,

$\begin{array}{l}Z-Y =(-13)-(-29)\hfill \\ =16\hfill \end{array}$

Therefore, the calculated value of given expression is “16”.