Chapter 0.4, Problem 4E

To determine

To fill: The blank in the statement “ $1.2\boxed{}\text{ 1}\frac{2}{9}$ ” by $<,>\text{ or }=$ to make it a true statement.

Answer to Problem 4E

The correct statement is $1.2\boxed{<}\text{ 1}\frac{2}{9}$ .

Explanation of Solution

Given information:

The statement “ $1.2\boxed{}\text{ 1}\frac{2}{9}$ .”

Consider the provided statement “ $1.2\boxed{}\text{ 1}\frac{2}{9}$ .”

Convert the number $\text{1}\frac{2}{9}$ to decimal notation and then compare the two numbers.

Decimal notation of $\text{1}\frac{2}{9}$ is, this is a mixed fraction, convert it to proper fraction and then decimal

  $\frac{11}{9}=1.22$

Now, $1.22$ is greater than $1.20$ . So, $1.2$ is less than $\text{1}\frac{2}{9}$ .

Thus, the correct statement is $1.2\boxed{<}\text{ 1}\frac{2}{9}$ .