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Chapter 8: Problem 8

Complete. 10 yd =______ ft

Short Answer

Expert verified
30 ft

Step by step solution

01

Understand the Conversion Factor

Know that 1 yard (yd) is equal to 3 feet (ft). This is the conversion factor that will be used to solve this problem.
02

Set Up the Conversion Equation

To convert 10 yards to feet, you multiply the number of yards by the conversion factor: 10 yd * (3 ft / 1 yd)
03

Perform the Multiplication

Multiply 10 by 3:10 * 3 = 30 ft

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Key Concepts

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

yard to feet conversion
When learning about unit conversions, it's crucial to understand how to change one measure into another. This exercise focuses on converting yards to feet. A yard is a unit of length in the imperial system, commonly used in the United States.

To convert yards to feet, you need to know the conversion factor: 1 yard is equal to 3 feet. This means that for every yard, there are 3 feet.

For instance, if you want to convert 5 yards to feet, you would multiply 5 by the conversion factor (3 feet per yard), resulting in 15 feet.
  • So, 1 yard = 3 feet
  • 2 yards = 6 feet
  • 3 yards = 9 feet

Understanding this simple relationship helps you easily convert from yards to feet for any given measurement.
multiplication
Multiplication is one of the basic arithmetic operations and is used extensively in mathematics and real-life problems. In this exercise, we use multiplication to convert yards to feet.

The problem requires you to multiply the number of yards by the conversion factor (3 feet per yard). For example:
  • Given: 10 yards
  • Conversion Factor: 3 feet per yard

To convert 10 yards to feet, multiply 10 by 3: \[ 10 \times 3 = 30 \text{ feet} \] This multiplication shows that 10 yards is equal to 30 feet.

Practicing these multiplication problems can improve your arithmetic skills and help you better understand unit conversions.
conversion factor
A conversion factor is a numerical value used to change the units of a measurement without changing its actual value. In this exercise, the conversion factor is 3 feet per yard.

The conversion factor provides a bridge between yards and feet. Here鈥檚 how you use it:
  • Identify the conversion factor: 1 yard = 3 feet
  • Write it as a fraction: \( \frac{3 \text{ feet}}{1 \text{ yard}} \)

By multiplying by the fraction, you effectively change the units. For example, converting 10 yards to feet: \[ 10 \text{ yards} \times \frac{3 \text{ feet}}{1 \text{ yard}} = 30 \text{ feet} \]

Conversion factors are essential tools in mathematics and science, allowing for easy and accurate conversions between different units.

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