Question

related questions: lesson 2: the metric system

fill in the blank.

q. one liter is equal to about 1.06 quarts. there are 4 quarts in 1 gallon. rounded to the hundredths place, about how many liters are in 1 gallon?

Explanation:

Identify the given conversion rates

We are given two conversion rates:

1. \(1\text{ liter} \approx 1.06\text{ quarts}\)
2. \(1\text{ gallon} = 4\text{ quarts}\)

Set up the conversion equation

We need to find the number of liters in \(1\text{ gallon}\). We can set up a conversion factor using Dimensional Analysis:

$$ 1\text{ gallon} \times \frac{4\text{ quarts}}{1\text{ gallon}} \times \frac{1\text{ liter}}{1.06\text{ quarts}} $$

Perform the calculation

Cancel out the units of gallons and quarts to solve for liters:

$$ \frac{4}{1.06}\text{ liters} $$

Calculate the numerical value:

$$ \frac{4}{1.06} \approx 3.77358\text{ liters} $$

Round to the hundredths place

We round \(3.77358\) to the nearest hundredths place:

• The digit in the hundredths place is \(7\).
• The digit to its right is \(3\), which is less than \(5\).
• Therefore, we round down to \(3.77\).

Answer:

One liter is equal to about 1.06 quarts. There are 4 quarts in 1 gallon. Rounded to the hundredths place, about how many liters are in 1 gallon? <blank>3.77</blank>