Chapter 2.4, Problem 2E

(Practice) Determine the values of the following integer expressions:

$\begin{array}{l}a.3+4*6 f.20-2/\left(6+3\right)\hfill \\ b.3*4/6+6 g.\left(20-2\right)/6+3\hfill \\ c.2*3/12*8/4 h.\left(20-2\right)/\left(6+3\right)\hfill \\ d.10*\left(1+7*3\right) i.50\%20\hfill \\ e.20-2/6+3 j.\left(10+3\right)\%4\hfill \end{array}$

Program Plan Intro

To determine value of expression $3+4*6$ .

Program Description Answer

The output of the expression $3+4*6$ is 27

Explanation of Solution

The statement is evaluated as follows

  $\begin{array}{l}3+4*6::27\hfill \\ =3+24\hfill \\ =27\hfill \end{array}$

Program Plan Intro

To determine value of integral expression : $\text{3 \&*\#x00A0;4 / 6 + 6}$

Program Description Answer

The output of the expression $\text{3 \&*\#x00A0;4 / 6 + 6}$ is 8

Explanation of Solution

Integral expression is evaluated as follows:

  $\begin{array}{l}3*4/6+6\hfill \\ =12/6+6\hfill \\ =2+6\hfill \\ =8\hfill \end{array}$

Program Plan Intro

To evaluate the integral expression : $\text{2 \&*\#x00A0;3 / 12 \&*\#x00A0;8 / 4}$

Program Description Answer

The output of the expression $\text{2 \&*\#x00A0;3 / 12 \&*\#x00A0;8 / 4}$ is 0

Explanation of Solution

The expression is evaluated as below:

  $\begin{array}{l}2*3/12*8/4\hfill \\ =6/12*8/4\hfill \\ =0.5*8/4\hfill \\ =\text{ 0 }/4\hfill \\ =\text{ 0}\hfill \end{array}$

Program Plan Intro

Determine the result of given integral expression :

  $\text{10 \&*\#x00A0;(1 + 7 \&*\#x00A0;3)}$

Program Description Answer

The output of the expression $\text{10 \&*\#x00A0;(1 + 7 \&*\#x00A0;3)}$ is 220

Explanation of Solution

The output of the expression is evaluated as follows :

  $\begin{array}{l}10*\left(1+7*3\right)\hfill \\ =10*\left(1+21\right)\hfill \\ =10*22\hfill \\ =220\hfill \end{array}$

Program Plan Intro

To determine value of given integral expression : $\text{20 - 2 / 6 + 3}$

Program Description Answer

The output of the expression $\text{20 - 2 / 6 + 3}$ is 23

Explanation of Solution

The given expression is evaluated as follows:

  $\begin{array}{l}20-2/6+3\hfill \\ =20–0+3\hfill \\ =23\hfill \end{array}$

Program Plan Intro

Determine value of given integral expression : $\text{20 - 2 / (6 + 3)}$

Program Description Answer

The output of the expression $\text{20 - 2 / (6 + 3)}$ is 20

Explanation of Solution

The expression is evaluated as follows:

  $\begin{array}{l}20-2/\left(6+3\right)\hfill \\ =20–2/9\hfill \\ =20-0\hfill \\ =20\hfill \end{array}$

Program Plan Intro

Determine value of given integral expression : $\text{(20 - 2) / 6 + 3}$

Program Description Answer

The output of the expression $\text{(20 - 2) / 6 + 3}$ is 6

Explanation of Solution

The output of the expression is evaluated as follows:

  $\begin{array}{l}\left(20-2\right)/6+3\hfill \\ =18/6+3\hfill \\ =3+3\hfill \\ =6\hfill \end{array}$

Program Plan Intro

Evaluate the given integral expression : $\text{(20 - 2) / (6 + 3)}$

Program Description Answer

The output of the expression $\text{(20 - 2) / (6 + 3)}$ is 2

Explanation of Solution

The output of the expression is evaluated as follows:

  $\begin{array}{l}\left(20-2\right)/\left(6+3\right)\hfill \\ =18/\left(6+3\right)\hfill \\ =18/9\hfill \\ =2\hfill \end{array}$

Program Plan Intro

Determine value of given integral expression : $\text{ 50 \% 20}$

Program Description Answer

The output of the expression $\text{ 50 \% 20}$ is 10

Explanation of Solution

The expression is evaluated as follows:

  $\begin{array}{l}50\%20\hfill \\ =10\hfill \end{array}$

Program Plan Intro

Evaluate the integral expression : $\text{(10 + 3) \% 4}$

Program Description Answer

The output of the expression $\text{(10 + 3) \% 4}$ is 1

Explanation of Solution

The output of the expression is evaluated as follows:

  $\begin{array}{l}\begin{array}{l}\left(10+3\right)\%4\hfill \\ =13\%4\hfill \end{array}\\ =1\end{array}$