Chapter 0.5, Problem 13E

To determine

The simplified value of the expression $-\frac{2}{3}\cdot \left(-\frac{1}{11}\right)$ .

Answer to Problem 13E

The simplified value of the expression $-\frac{2}{3}\cdot \left(-\frac{1}{11}\right)$ is $\frac{2}{33}$ .

Explanation of Solution

Given information:

The expression $-\frac{2}{3}\cdot \left(-\frac{1}{11}\right)$ .

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 two negative integers is always positive.

Calculation:

Consider the expression $-\frac{2}{3}\cdot \left(-\frac{1}{11}\right)$ .

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,

  $\begin{array}{c}-\frac{2}{3}\cdot \left(-\frac{1}{11}\right)=+\frac{1\cdot 2}{3\cdot 11}\\ =\frac{2}{33}\end{array}$

Thus, the simplified value of the expression $-\frac{2}{3}\cdot \left(-\frac{1}{11}\right)$ is $\frac{2}{33}$ .