Chapter 6.3, Problem 4CYU

To determine

To fill: The blank in the statement “ $5\text{L}\approx \boxed{}\text{ gal}$ ”.

Answer to Problem 4CYU

The complete statement is $5\text{L}\approx \boxed{1.10}\text{ gal}$ .

Explanation of Solution

Given information:

The statement “ $5\text{L}\approx \boxed{}\text{ gal}$ .”

Consider the provided statement “ $5\text{L}\approx \boxed{}\text{ gal}$ .”

Recall that the conversion rule that $\text{1Litre}\approx 0.219\text{gallon}$ .

So, 5 litres is evaluated as when 5 is multiplied by $0.219$ .

Therefore, 5 litres is,

  $\begin{array}{c}\text{1L}\approx \text{0}\text{.219gal}\\ \text{5L}\approx \left(\text{5×0}\text{.219}\right)\text{gal}\\ \text{5L}\approx \text{1}\text{.095gal}\end{array}$

Rounding off to the nearest hundredth, we get,

  $5\text{L}\approx 1.10\text{ gal}$

Thus, the complete statement is “ $5\text{L}\approx \boxed{1.10}\text{ gal}$ .”