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Chapter 8: Problem 14

Complete. 5 mi =_______ yd

Short Answer

Expert verified
8800 yards

Step by step solution

01

Understand the conversion factor

To convert miles to yards, first know the conversion factor. 1 mile equals 1760 yards.
02

Multiply miles by the conversion factor

Multiply the number of miles (5) by the number of yards in one mile (1760): \[ 5 \text{ miles} \times 1760 \text{ yards/mile} \ = 8800 \text{ yards} \]
03

Write the final answer

5 miles is equal to 8800 yards.

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Key Concepts

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

mile to yard conversion
Converting miles to yards involves understanding a simple conversion factor. A conversion factor is a number you can use to convert one unit of measurement to another. The key conversion factor for this task is: 1 mile equals 1760 yards.
Once you know this, you can convert any number of miles to yards by multiplying the number of miles by 1760.
This is a straightforward process and a great example of how useful conversion factors are in mathematics.
unit conversion
Unit conversion is the process of changing one unit of measurement to another. This can involve units of distance, weight, volume, and more.
For instance, in our exercise, we needed to convert miles (a unit of distance) to yards (another unit of distance). Here鈥檚 how you can approach any unit conversion task:
  • Identify the conversion factor.
  • Multiply the quantity you have by the conversion factor.

Understanding unit conversion is essential in many areas of science, engineering, and everyday life.
basic arithmetic operations
In math, basic arithmetic operations include addition, subtraction, multiplication, and division.
For our problem, we used multiplication, which helps us determine totals when combining equal groups.
Multiplication allowed us to take the number of miles and find out how many yards that equates to.
We simply multiplied 5 miles by 1760 yards per mile:


Multiplication can be visualized as:
  • You have 5 groups of 1760 yards.
  • Combine all groups to get the total 鈥� 8800 yards.

Mastering these core arithmetic operations is crucial for solving a wide range of mathematical problems.

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