Chapter 1.4, Problem 7P

To determine

a.

To find:

The additive inverse or opposite of the given number

Solution:

$7$

Explanation:

1) Concept:

Opposite number: For each number $"a,"$ there is a unique number $"-a"$ called opposite number, such that $a+\left(-a\right)=\left(-a\right)+a=0$.

2) Given:

The number is $-7$.

3) Calculation:

From the definition, the opposite number of $-7$ is $-\left(-7\right)=7.$

Final statement:

The additive inverse or opposite of $-7$ is $7$.

b.

To find:

The additive inverse or opposite of the given number

Solution:

$-4.7$

Explanation:

1) Given:

The number is $4.7$.

2) Calculation:

From the definition, the opposite number of $4.7$ is $-4.7.$

Final statement:

The additive inverse or opposite of $4.7$ is $-4.7$.

c.

To find:

The additive inverse or opposite of the given number

Solution:

$\frac{3}{8}$

Explanation:

1) Given:

The number is $-\frac{3}{8}$

2) Calculation:

From the definition, the opposite number of $-\frac{3}{8}$ is

$-\left(-\frac{3}{8}\right)=\frac{3}{8}$

Final statement:

The additive inverse or opposite of $-\frac{3}{8}$ is  $\frac{3}{8}$.