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Chapter 8: Problem 18

\(11 \mathrm{gal}=\) _________ qt

Short Answer

Expert verified
44 qt

Step by step solution

01

Understand the conversion factor

Identify the relationship between gallons (gal) and quarts (qt). 1 gallon is equal to 4 quarts, which means the conversion factor is 1 gal = 4 qt.
02

Set up the conversion

To convert 11 gallons to quarts, multiply the number of gallons by the conversion factor. Set up the equation as follows: 11 gal 脳 4 qt/gal.
03

Perform the multiplication

Carry out the multiplication: 11 脳 4 = 44 qt.
04

Write down the answer

After calculating, it turns out that 11 gallons is equal to 44 quarts.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Unit Conversion
Unit conversion is the process of transforming one type of measurement into another. It's essential to understand the relationships between different units to perform accurate calculations. For example, if you know that 1 gallon is equal to 4 quarts, you can convert gallons to quarts by multiplying the number of gallons by 4. This process is useful in various fields, such as science, engineering, and everyday life.
Multiplication
Multiplication is a mathematical operation where you add a number to itself a certain number of times. It is fundamental for unit conversions when the relationship between units involves a specific factor. In the exercise, you multiply 11 gallons by 4 to find out how many quarts it equals. So, 11 gallons multiplied by 4 quarts per gallon gives you 44 quarts. This simple multiplication helps you transform the measurement from one unit to another accurately.
Conversion Factor
A conversion factor is a number used to change one set of units to another by multiplying or dividing. The conversion factor between gallons and quarts is 4 because 1 gallon equals 4 quarts. Knowing the conversion factor allows you to set up your equation correctly. For example, to convert 11 gallons to quarts, you use the conversion factor (4 qt/gal) and multiply it by the number of gallons: 11 gal 脳 4 qt/gal = 44 qt.
Quarts and Gallons
Quarts and gallons are both units of volume measurement commonly used in the United States. A gallon is larger than a quart; specifically, 1 gallon is equal to 4 quarts. Understanding this relationship makes it easier to convert between these units. In practical terms, if a recipe calls for 11 gallons of an ingredient, you'd need to measure out 44 quarts to get the equivalent amount. This understanding is crucial for tasks like cooking, filling containers, or any activity involving liquid measurements.

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