Chapter 1: Problem 8
How many meters are in 15 kilometers?
Short Answer
Expert verified
There are 15,000 meters in 15 kilometers.
Step by step solution
01
Understanding the Units
To solve the problem, we need to understand that we are converting from kilometers to meters. There are 1,000 meters in one kilometer.
02
Set Up the Conversion
To convert kilometers to meters, we multiply the number of kilometers by the conversion factor. The conversion factor from kilometers to meters is 1,000 meters per kilometer. So, we set up the equation as:
15 ext{ km} imes 1,000 ext{ m/km}.
03
Perform the Calculation
Now, we multiply 15 by 1,000 to convert kilometers into meters. The calculation is:
15 imes 1000 = 15,000.
04
Conclusion
The result from our calculation shows that there are 15,000 meters in 15 kilometers.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Kilometers to Meters
Converting kilometers to meters is a simple yet fundamental task in understanding the metric system. In this conversion, we are changing the unit of length from kilometers to meters. One important fact to know is that one kilometer is equal to 1,000 meters. This transformation is commonly used in various fields, especially in science and travel, where precise measurements of distance are essential.
When converting, it's essential to set up your calculation correctly. Begin with the number of kilometers you want to convert - in our example, this was 15 kilometers. Then, multiply this number by the conversion factor (1,000 meters per kilometer). The formula looks like this:
When converting, it's essential to set up your calculation correctly. Begin with the number of kilometers you want to convert - in our example, this was 15 kilometers. Then, multiply this number by the conversion factor (1,000 meters per kilometer). The formula looks like this:
- 15 km × 1,000 m/km
Metric System
The metric system is an internationally adopted system for measurements, and it’s used across most of the world. Understanding this system can simplify learning and comprehending various scientific and mathematical computations.
Its system of measurement is based on multiples of ten, meaning conversions are easier and more straightforward compared to other systems like the Imperial system. In this system, the basic unit of length is the meter. Other units of length, like kilometers, are just multiples of the basic unit. One advantage of this system is its simplicity and universal application across numerous fields from science to engineering to everyday life.
Other key units in the metric system include:
Its system of measurement is based on multiples of ten, meaning conversions are easier and more straightforward compared to other systems like the Imperial system. In this system, the basic unit of length is the meter. Other units of length, like kilometers, are just multiples of the basic unit. One advantage of this system is its simplicity and universal application across numerous fields from science to engineering to everyday life.
Other key units in the metric system include:
- Gram for weight
- Liter for volume
- Second for time
Multiplication in Mathematics
Multiplication is one of the fundamental operations in mathematics. It involves adding a number to itself a certain number of times. For example, when converting kilometers to meters, we use multiplication to determine the equivalent number of meters.
The specific multiplication here is straightforward: we multiply 15 (the number of kilometers) by 1,000 (because there are 1,000 meters in a kilometer). The equation is:
The specific multiplication here is straightforward: we multiply 15 (the number of kilometers) by 1,000 (because there are 1,000 meters in a kilometer). The equation is:
- 15 × 1,000 = 15,000