Chapter 11.2, Problem 10WE

To determine

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

Answer to Problem 10WE

The decimal form of the rational number is $-0.46875$ .

Explanation of Solution

Given information:

The given fraction is,

  $-\frac{15}{32}$

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,

  $-\frac{15}{32}=-32\begin{array}{c}\hfill -0.46875\\ \hfill \overline{)\begin{array}{l}150\\ \underset{\_}{-128}\\ 0220\\ \underset{\_}{-192}\\ 0280\\ \underset{\_}{-256}\\ 0240\\ \underset{\_}{-224}\\ 0160\\ \underset{\_}{-160}\\ 000\end{array}}\end{array}$

Thus, the decimal form of the rational number is $-0.46875$ .