Chapter 3.1, Problem 34IP

To determine

To replace: each $\otimes$ with $<$ , >, or $=$ to make the provided sentence true.

Answer to Problem 34IP

The sign is replaced by $>$ .

Explanation of Solution

Given information:

Consider, the sentence provided with two numbers, $-\frac{2}{9}\otimes -\frac{1}{4}$ .

Consider the numbers $-\frac{2}{9}$ and $-\frac{1}{4}$ , the decimal form of the fraction $-\frac{2}{9}$ and $-\frac{1}{4}$ is $-0.\overline{22}$ and $-0.25$ consecutively.

As, the decimal values of $-\frac{2}{9}$ is greater than $-\frac{1}{4}$ .

So, the sign is replaced by $<$ , and the sentence is written as $-\frac{2}{9}>-\frac{1}{4}$ .