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Chapter 8: Problem 1

Complete. \(330 \mathrm{ft}=\)__________m (The length of most baseball foul lines)

Short Answer

Expert verified
100.58 meters

Step by step solution

01

Understand the Conversion Factor

To convert feet to meters, use the conversion factor: 1 foot = 0.3048 meters.
02

Set Up the Conversion Equation

Multiply the number of feet by the conversion factor to convert to meters: 330 ft 脳 0.3048 m/ft.
03

Perform the Calculation

Calculate the result: 330 脳 0.3048 = 100.584 meters.
04

Round the Answer (if needed)

Depending on the precision required, round the answer to an appropriate number of decimal places. In this case, we'll use two decimal places: 100.58 meters.

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Key Concepts

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

Conversion Factor
To convert one unit of measurement to another, we use something called a conversion factor. A conversion factor is a numerical value that helps you translate one set of units into another by multiplying or dividing. In our problem, we're converting feet to meters. The conversion factor for feet to meters is 1 foot = 0.3048 meters. This means that each foot is equivalent to 0.3048 of a meter. Knowing the right conversion factor is essential since it ensures accurate conversions. Without it, our results would be incorrect!
Feet to Meters
Converting from feet to meters involves multiplying the number of feet by the conversion factor (0.3048 meters per foot). Here's how we can break it down:
鈥� Identify the number of feet you need to convert. In this case, it鈥檚 330 feet.
鈥� Use the conversion factor: 1 foot = 0.3048 meters.
鈥� Multiply the number of feet (330) by the conversion factor (0.3048).
So, the equation is: 330 ft 脳 0.3048 m/ft. By multiplying these, we see that the measurement in meters is getting closer to its conversion.
Mathematical Calculation
The essential part comes next鈥攑erforming the calculation. You鈥檝e set up the conversion equation: 330 ft 脳 0.3048 m/ft. Now, you simply need to multiply these numbers:
鈥� Multiply 330 by 0.3048.
鈥� By doing this multiplication, you get 100.584.
This result is the length in meters before considering any rounding. Calculators make this step easier, but understanding the multiplication process helps to ensure accuracy.
Rounding Numbers
Once you have your final calculated value (100.584 meters), you may need to round it to a certain number of decimal places. The number of decimal places you round to will depend on the level of precision needed. For most practical purposes, two decimal places are sufficient when working with lengths:
鈥� Look at the third decimal place to help with rounding: If it's 5 or more, round up the second decimal place by one. If it鈥檚 less than 5, keep the second decimal place as it is.
鈥� In our case, 100.584 rounded to two decimal places is 100.58 meters.
Rounding makes your final answer more readable and often more practical for real-world applications.

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