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Chapter 1: Problem 859

Convert the units. Ghalib ran 5 kilometers. Convert the length to meters.

Short Answer

Expert verified
5000 meters

Step by step solution

01

Identify the Conversion Factor

Recognize that 1 kilometer (km) is equivalent to 1000 meters (m).
02

Multiply by the Conversion Factor

Multiply the number of kilometers by the conversion factor to find the number of meters. \[ 5 \text{ km} \times 1000 \text{ m/km} = 5000 \text{ m} \]
03

Write the Final Answer

5 kilometers is equal to 5000 meters.

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Key Concepts

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

kilometers to meters
To convert a distance from kilometers to meters, you need to understand that a kilometer is a much larger unit than a meter. A kilometer is typically used to measure longer distances, like the length of a marathon or the distance between cities.
On the other hand, meters are used for shorter distances, such as the length of a room or a swimming pool.
The relationship between these two units is straightforward and can help you make quick conversions whenever needed. Taking our example, if Ghalib ran 5 kilometers, you鈥檇 need to translate that distance into meters, especially if another context requires you to understand it in smaller units.
conversion factor
The conversion factor is the key to changing quantities from one unit of measurement to another. For kilometers to meters, the conversion factor is 1000. This means that each kilometer is equal to 1000 meters.
To convert kilometers to meters, you use the simple multiplication formula:
  • Number of kilometers 脳 1000 = Number of meters

As in the exercise, converting 5 kilometers to meters means multiplying 5 by 1000. This is represented mathematically as: \( 5 \text{ km} \times 1000 \text{ m/km} = 5000 \text{ m}\)
measurement units
Measurement units are essential for quantifying and understanding the world around us. They allow us to describe how long, how big, or how far things are accurately.
Different units are used for different types of measurements, and these can be converted from one to another using conversion factors.
Here, we鈥檝e focused on converting kilometers to meters, but this principle applies to many other measurements. Whether you're switching from liters to milliliters or from grams to kilograms, conversion factors will always facilitate the process.
mastering the understanding of these basic conversions can help you solve many real-life problems involving measurements.

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