Chapter 11.2, Problem 2WE

a.

To determine

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

Answer to Problem 2WE

The decimal form of the rational number is $4.5$ .

Explanation of Solution

Given information:

The given fraction is,

  $\frac{9}{2}$

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,

  $\frac{9}{2}=2\begin{array}{c}\hfill 4.5\\ \hfill \overline{)\begin{array}{l}9\\ \underset{\_}{-8}\\ 10\\ \underset{\_}{-10}\\ 00\end{array}}\end{array}$

Thus, the decimal form of the rational number is $4.5$ .

b.

To determine

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

Answer to Problem 2WE

The decimal form of the rational number is $0.045$ .

Explanation of Solution

Given information:

The given fraction is,

  $\frac{9}{200}$

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,

  $\frac{9}{200}=200\begin{array}{c}\hfill 0.045\\ \hfill \overline{)\begin{array}{l}900\\ \underset{\_}{-800}\\ 1000\\ \underset{\_}{-1000}\\ 000\end{array}}\end{array}$

Thus, the decimal form of the rational number is $0.045$ .