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Chapter 8: Problem 11

Complete. \(20 \mathrm{mi}^{2}=\)_______acres

Short Answer

Expert verified
12800 acres

Step by step solution

01

Understand the Conversion Factor

First, recognize the conversion factor between square miles and acres. 1 square mile is equal to 640 acres.
02

Set Up the Conversion

To convert 20 square miles to acres, multiply the number of square miles by the conversion factor:
03

Perform the Multiplication

Calculate the multiplication: \[ 20 \text{ square miles} \times 640 \text{ acres / square mile} = 12800 \text{ acres} \]

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Key Concepts

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

square miles to acres conversion
When converting between square miles and acres, it's essential to understand the relationship between these units. One square mile equals 640 acres. If you know this conversion factor, you can easily switch between square miles and acres. This knowledge is crucial because, in many real-life scenarios such as land measurement and real estate, you need to convert large areas from one unit to another. To convert from square miles to acres, simply multiply the number of square miles by 640. For example, converting 20 square miles to acres involves multiplying 20 by 640, resulting in 12800 acres.
multiplication in mathematics
Multiplication is one of the basic operations in mathematics. It involves taking one number and adding it to itself a certain number of times based on another number. In the context of conversions, multiplication helps scale a value up or down according to a conversion factor. For instance, in converting square miles to acres, you multiply the number of square miles by 640 (the conversion factor). This step ensures the accurate conversion of the area measurement from one unit to another. Practicing multiplication inside and outside mathematical contexts helps you perform conversions and other calculations efficiently.
conversion factors
A conversion factor is a numerical value used to change one unit of measurement to another. It's often a fixed value based on predefined mathematical relationships. Conversion factors are critical in various scientific and real-world applications. For instance, to convert square miles to acres, the conversion factor is 640, since one square mile is 640 acres. Knowing and appropriately using these factors ensures accurate and reliable conversions across different units. Whether converting between units of length, volume, or area, understanding this concept is key to achieving accurate results.

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