Chapter 5, Problem 5.8E

Show the value of x after each of the following statements is performed:

1. $\text{x}=\text{fabs}\left(\text{7}.\text{5}\right);$
2. $\text{x}=\text{floor}\left(\text{7}.\text{5}\right);$
3. $\text{x}=\text{fabs}\left(0.0\right);$
4. $\text{x}=\text{ceil}\left(0.0\right);$
5. $\text{x}=\text{fabs}\left(-\text{6}.\text{4}\right);$
6. $\text{x}=\text{ceil}\left(-\text{6}.\text{4}\right);$
7. $\text{x}=\text{ceil}\left(-\text{fabs}\left(-\text{8 }+\text{ floor}\left(-\text{5}.\text{5}\right)\right)\right);$

Program Plan Intro

To show the value of x after the given statement is performed.

Program Description Answer

The value of $x$ is $7$ .

Explanation of Solution

Given information:

  $x=\text{ fabs}\left(7.5\right);$

Explanation:

The fabs() is the function that calculates the absolute value of the argument written within it. The absolute value of the number is the magnitude of the number irrespective of the sign. The statement $x=\text{ fabs}\left(7.5\right)$ calculates the values and assigns it to x.

Hence, the value of $x$ is $7$

Program Plan Intro

To show the value of x after the given statement is performed.

Program Description Answer

The value of $x$ is $7$ .

Explanation of Solution

Given information:

  $x=\text{ floor}\left(7.5\right);$

Explanation:

The floor() is the function that calculates the value of the largest integer less than or equal to the argument written within it.

The statement $x=\text{ floor}\left(7.5\right);$ calculates the values and assigns it to x.

The largest integer less than or equal to 7.5 is 7.

Hence, the value of $x$ is $7$

Program Plan Intro

To show the value of x after the given statement is performed.

Program Description Answer

The value of $x$ is $0$ .

Explanation of Solution

Given information:

  $x=\text{ fabs}\left(0.0\right);$

Explanation:

The fabs() is the function that calculates the absolute value of the argument written within it. The absolute value of the number is the magnitude of the number irrespective of the sign. The statement $x=\text{ fabs}\left(0.0\right);$ calculates the values and assigns it to x.

Hence, the value of $x$ is $0$

Program Plan Intro

To show the value of x after the given statement is performed.

Program Description Answer

The value of $x$ is $0$ .

Explanation of Solution

Given information:

  $x=\text{ ceil}\left(0.0\right);$

Explanation:

The ceil() is the function that calculates the value of the smallest integer greater than or equal to the argument number written within it.

The statement $x=\text{ ceil}\left(0.0\right);$ calculates the values and assigns it to x.

The smallest integer greater than or equal to 0.0 is 0.

Hence, the value of $x$ is $0$

Program Plan Intro

To show the value of x after the given statement is performed.

Program Description Answer

The value of $x$ is $6$ .

Explanation of Solution

Given information:

  $x=\text{ fabs}\left(-6.4\right);$

Explanation:

The fabs() is the function that calculates the absolute value of the argument written within it. The absolute value of the number is the magnitude of the number irrespective of the sign. The statement $x=\text{ fabs}\left(-6.4\right);$ calculates the values and assigns it to x.

Hence, the value of $x$ is $6$

Program Plan Intro

To show the value of x after given statement is performed.

Program Description Answer

The value of $x$ is $-6$ .

Explanation of Solution

Given information:

  $x=\text{ ceil}\left(-6.4\right);$

Explanation:

The ceil() is the function that calculates the value of the smallest integer greater than or equal to the argument number written within it.

The statement $x=\text{ ceil}\left(-6.4\right);$ it calculates the values and assigns it to x.

The smallest integer greater than or equal to -6.4 is -6.

Hence, the value of $x$ is $-6$

Program Plan Intro

To show the value of x after the given statement is performed.

Program Description Answer

The value of $x$ is $-14$ .

Explanation of Solution

Given information:

  $x=\text{ ceil}\left(-\text{fabs}(-8+\text{floor}(-5.5))\right);$

Explanation:

The statement includes fabs() , ceil() and floor() functions.

The ceil() is the function that calculates the value of the smallest integer greater than or equal to the argument number written within it.

The fabs() is the function that calculates the absolute value of the argument written within it. The absolute value of the number is the magnitude of the number irrespective of the sign.

The floor() is the function that calculates the value of the largest integer less than or equal to the argument written within it.

On the basis of the above definitions solving the given statement as follows-

  $\begin{array}{l}x=\text{ ceil}\left(-\text{fabs}(-8+\text{floor}(-5.5))\right);\\ x=\text{ ceil}\left(-\text{fabs}(-8-6)\right);\\ x=\text{ ceil}\left(-\text{fabs}(-14)\right);\\ x=\text{ ceil}\left(-14\right);\\ x=-14\end{array}$

Hence, the value of $x$ is $-14$