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Chapter 8: Problem 17

\(5 \mathrm{gal}=\) __________ qt

Short Answer

Expert verified
20 qt

Step by step solution

01

Identify the Conversion Factor

To convert gallons to quarts, identify the conversion factor. 1 gallon = 4 quarts.
02

Set up the Conversion

Multiply the number of gallons by the conversion factor. Since 1 gallon = 4 quarts, for 5 gallons: \(5 \text{ gal} \times 4 \text{ qt/gal} = 20 \text{ qt}\).
03

Calculate the Answer

Perform the multiplication: \(5 \times 4 = 20\). So, 5 gallons equals 20 quarts.

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Key Concepts

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

Gallons to Quarts
In this exercise, we are converting gallons to quarts. When working with liquid measurements, it's important to understand and remember that these are units of volume in the customary system, mainly used in the United States. One of the basic principles to keep in mind is that 1 gallon is equal to 4 quarts. So, if you have a certain number of gallons and need to know how many quarts that translates to, you will need to make use of this relationship.
For example, if we need to convert 5 gallons to quarts, we first need to know the conversion relationship: 1 gallon = 4 quarts. From this, we can set up our conversion calculation.
Conversion Factors
A conversion factor is a number used to change one set of units to another by multiplying or dividing. In our case, the conversion factor from gallons to quarts is 4 because 1 gallon is equal to 4 quarts. This is crucial information for setting up our problem.
Here鈥檚 how you use a conversion factor:
  • You multiply the number of gallons by the conversion factor (4 quarts per gallon).
  • The correct conversion factor allows for accurate translation of one unit to another.
Knowing the right conversion factor ensures that your final answer is correct. Without this foundational knowledge, you can't perform the conversion accurately.
Multiplication
Multiplication is essential in our conversion process. Once we have our conversion factor, we need to multiply it by the number of gallons. Here is a step-by-step process:
  • First, identify the number of gallons you want to convert, which is 5 in this example.
  • Next, remember that the conversion factor is 4 quarts per gallon.
  • Set up the multiplication: 5 gallons * 4 quarts/gallon.
  • Calculate: 5 * 4 = 20.
Through this multiplication step, we find that 5 gallons equal 20 quarts. Always double-check your multiplication to ensure accuracy.

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