Chapter 0.5, Problem 19E

To determine

The simplified value of the expression $-\frac{9}{4}\cdot \frac{1}{18}$ .

Answer to Problem 19E

The simplified value of the expression $-\frac{9}{4}\cdot \frac{1}{18}$ is $-\frac{1}{8}$ .

Explanation of Solution

Given information:

The expression $-\frac{9}{4}\cdot \frac{1}{18}$ .

Formula used:

Product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs $\left(\right),\times \text{ or }\cdot$ .

Product of a negative and a positive integer is always negative.

Calculation:

Consider the expression $-\frac{9}{4}\cdot \frac{1}{18}$ .

18 can be written as the product of 2 and 9.

So, it can be simplified as,

  $-\frac{9}{4}\cdot \frac{1}{18}=-\frac{9\cdot 1}{4\cdot 9\cdot 2}$

Striking off the common terms, we get,

  $-\frac{9}{4}\cdot \frac{1}{18}=-\frac{1}{4\cdot 2}$

Recall that product of two real numbers is obtained when they are multiplied together. That is two or more numbers are separated by multiplication signs $\left(\right),\times \text{ or }\cdot$ .

Simplify it,

  $\begin{array}{c}-\frac{9}{4}\cdot \frac{1}{18}=-\frac{1}{4\cdot 2}\\ =-\frac{1}{8}\end{array}$

Thus, the simplified value of the expression $-\frac{9}{4}\cdot \frac{1}{18}$ is $-\frac{1}{8}$ .