Question

How many meters are in 15 kilometers?

Short answer

There are 15,000 meters in 15 kilometers.

Step-by-step solution

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.

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}.

Perform the Calculation

Now, we multiply 15 by 1,000 to convert kilometers into meters. The calculation is: 15 imes 1000 = 15,000.

Conclusion

The result from our calculation shows that there are 15,000 meters in 15 kilometers.

Key concepts

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:

• 15 km × 1,000 m/km

This gives you 15,000 meters, meaning there are 15,000 meters in 15 kilometers.

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:

• Gram for weight
• Liter for volume
• Second for time

By understanding the metric system, you can apply simple conversions like from kilometers to meters, making calculations more accessible in your academic and practical endeavors.

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:

• 15 × 1,000 = 15,000

This process involves a basic principle of multiplication where we find the product of two numbers. It’s essential for many conversions and calculations in different areas of mathematics and science. Understanding multiplication helps simplify and solve problems quickly, allowing for effective and efficient computations.