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Chapter 9: Problem 17

Convert each measurement as indicated. $$ 5 \text { gal } 3 \text { qt to quarts } $$

Short Answer

Expert verified
23 qt

Step by step solution

01

Understand the Conversion

We need to convert gallons to quarts. Remember that 1 gallon equals 4 quarts. Therefore, to convert gallons to quarts, we multiply the number of gallons by 4.
02

Convert Gallons to Quarts

Multiply the number of gallons (5) by 4 to convert them into quarts: \( 5 \text{ gal} \times 4 \frac{\text{qt}}{\text{gal}} = 20 \text{ qt} \).
03

Combine Quarts from Both Measurements

Add the quarts obtained from converting the gallons to the existing quarts: \( 20 \text{ qt} + 3 \text{ qt} = 23 \text{ qt} \).

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Key Concepts

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

Gallons to Quarts Conversion
When it comes to converting gallons to quarts, the key thing to remember is the relationship between these two units of measure. Gallons and quarts are both used to measure volume, and they are commonly used in the United States for liquid measurements.
  • 1 gallon is equal to 4 quarts.
  • This means if you want to convert any number of gallons to quarts, you simply multiply the number of gallons by 4.
For example, if you have 5 gallons and need to convert this to quarts, you multiply 5 by 4, which gives you 20 quarts. This conversion is straightforward because it involves a simple multiplication based on a fixed ratio.
Measurement Conversion
Measurement conversion is a fundamental skill in mathematics, especially in real-world applications where different measurement systems are used. Understanding how to convert between units, like gallons and quarts, can be very beneficial:
  • Conversions allow you to interpret and compare different measurements correctly.
  • It's essential for tasks ranging from cooking to scientific computations.
Always remember to utilize the conversion factor between measurements. For gallons to quarts, the conversion factor is 4. This means any calculation moving between these measurements should multiply or divide by 4, depending on which direction you are converting.
Prealgebra Concepts
Prealgebra lays the groundwork for all further mathematical study, and understanding unit conversion is a critical part of it. In prealgebra, you learn not only how to perform the conversion between units but also why it's done. Key prealgebra concepts include:
  • Understanding ratios and proportions, which are key when converting units.
  • Using multiplication and division as tools for manipulation of these units.
In the exercise, you combine these prealgebra skills by multiplying the gallons to find their equivalent in quarts, and then adding the direct quarts to find a total measurement. Mastering these prealgebra concepts makes transitioning to more complex math topics much smoother.

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Most popular questions from this chapter

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