Chapter 11.2, Problem 4WE

a.

To determine

To find: The rational number as the terminating or repeating decimal.

Answer to Problem 4WE

The decimal form of the rational number is $-0.6$ .

Explanation of Solution

Given information:

The given fraction is,

  $-\frac{3}{5}$

Concept used:

If the remainder of the division is zero, the decimal form of the fraction is called a terminating.

The given fraction can be written as,

  $-\frac{3}{5}=-5\begin{array}{c}\hfill -0.6\\ \hfill \overline{)\begin{array}{l}30\\ \underset{\_}{-30}\\ 00\end{array}}\end{array}$

Thus, the decimal form of the rational number is $-0.6$ .

b.

To determine

To find: The rational number as the terminating or repeating decimal.

Answer to Problem 4WE

The decimal form of the rational number is $-0.06$ .

Explanation of Solution

Given information:

The given fraction is,

  $-\frac{3}{50}$

Concept used:

If the remainder of the division is zero, the decimal form of the fraction is called a terminating.

The given fraction can be written as,

  $-\frac{3}{50}=-50\begin{array}{c}\hfill -0.06\\ \hfill \overline{)\begin{array}{l}300\\ \underset{\_}{-300}\\ 00\end{array}}\end{array}$

Thus, the decimal form of the rational number is $-0.06$ .