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Chapter 9: Problem 8

Convert each measurement as indicated. 18 pints to gallons

Short Answer

Expert verified
18 pints is equivalent to 2.25 gallons.

Step by step solution

01

Understand the Relation

Before converting pints to gallons, we need to know the conversion factor. There are 8 pints in 1 gallon.
02

Divide Pints by Conversion Factor

To convert pints to gallons, divide the number of pints by the conversion factor from Step 1. In this case, divide 18 by 8: \(18 \div 8\).
03

Calculate the Quotient

Perform the division \(18 \div 8\), which equals 2.25. Thus, 18 pints is equal to 2.25 gallons.

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Key Concepts

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

Pints to Gallons Conversion
When you need to convert from pints to gallons, it's important to understand the relationship between these two units of measurement. The United States customary system defines that 1 gallon is equal to 8 pints. This means that to convert pints into gallons, you'll be dividing the number of pints by 8, since 8 pints is the equivalent of a single gallon. By having this conversion factor in mind, these kinds of conversions become much easier. Not only can you apply this for exact numbers, but you can also utilize the conversion for various estimations or real-world scenarios such as cooking or refueling a vehicle.
Measurement Conversion
Measurement conversion is a valuable skill because it helps with understanding and working seamlessly between different measurement systems when necessary. In everyday life, you might need to convert units like pints to gallons or use different measures across countries with varying unit standards.
  • Knowing conversion factors is key to switching between units quickly.
  • Working with correct dimensions ensures precision in diverse fields like science, engineering, and cuisine.
If you know the conversion effectively, it enables you to manage tasks accurately, whether you're managing ingredients for a recipe or ensuring proper dosages in a medical setting.
Learning these conversions like pints to gallons reduces mistakes and prevents misunderstandings.
Division
Division is a mathematical operation you frequently use in unit conversions such as pints to gallons. In this particular case, you divide the total quantity (in pints) by the conversion factor (8 pints per gallon) to find your result in gallons. For our example of converting 18 pints to gallons:
  • You perform the division: 18 divided by 8.
  • By calculating, you get 2.25. Therefore, 18 pints is equivalent to 2.25 gallons.
Understanding division helps you break down how one big quantity is distributed across another smaller group, which is exactly what happens during this conversion.
This basic math concept is fundamental for various daily calculations and builds up a foundation for tackling more complex mathematical scenarios.

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