Problem 25 - Algebra 1

Question

Convert the measure. Round your answer to the nearest tenth. 56 miles to kilometers ( 1 mile \(=1.609\) kilometers)

Step-by-Step Solution

Answer

The converted distance is XX.X kilometers.

Step 1: Understand the Conversion Factor

The conversion between miles and kilometers is given by the equation \(1 \text{ mile} = 1.609 \text{ kilometers}\).

Step 2: Multiply the Number of Miles by the Conversion Factor

Using the conversion factor in this step, we multiply the number of miles by the conversion factor to get the distance in kilometers. In this case, \(56 \text{ miles} * 1.609 \text{ kilometers/mile} = XX.XX \text{ kilometers}\).

Step 3: Round the Result to the Nearest Tenth

The last step involves rounding the answer obtained in Step 2 to the nearest tenth to get the final answer.

Key Concepts

Miles to Kilometers

When you want to convert miles to kilometers, it's all about understanding the difference in the units used to measure distance. In the United States, distance is often measured in miles, while many other countries around the world use kilometers. Using miles to kilometers conversion is essential for global travel and understanding international measurements.

For this conversion, remember that 1 mile is equal to 1.609 kilometers. This provides a simple, straightforward way to switch between the two measurement systems. So, whenever you need to find out how far 56 miles is in kilometers, you can easily perform the conversion using this constant value.

Conversion Factor

The conversion factor is a numerical value used to convert quantities from one unit into another. Here, the conversion factor is 1.609, which represents the number of kilometers in one mile.

• Write it as: 1 mile = 1.609 kilometers

Understanding this conversion factor is crucial for making accurate conversions. You only need to multiply the number of miles by this factor to get your answer in kilometers.

For example, to convert 56 miles to kilometers, multiply 56 by 1.609. This gives you the distance in kilometers before any rounding takes place.

Rounding Numbers

Rounding numbers involves adjusting them to a certain degree of precision or simplicity. In most conversions, you will want to round to a specific decimal place to make the numbers easier to read or use.

• For this exercise, round your result to the nearest tenth.

The step generally requires you to look at the digit in the first decimal place. If it's 5 or more, round up. If it's less than 5, round down.

For our example, after multiplying 56 miles by the conversion factor, you may get a number like 90.104. Rounding 90.104 to the nearest tenth gives you 90.1 kilometers, which is your final answer in a more user-friendly form.