Chapter 3.1, Problem 37IP

To determine

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

Answer to Problem 37IP

The sign is replaced by $<$ .

Explanation of Solution

Given information:

Consider, the sentence provided with two numbers, $\frac{1}{2}\otimes 0.67$ .

Consider the numbers $\frac{1}{2}$ and $0.67$ , the decimal form of the fraction $\frac{1}{2}$ is $0.5$ .

As, the decimal values of $\frac{1}{2}$ is smaller than $0.67$ .

So, the sign is replaced by $<$ , and the sentence is written as $\frac{1}{2}<0.67$ .