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Chapter 8: Problem 11

Complete. Do as much as possible mentally. 8921 m = ______km

Short Answer

Expert verified
8.921 km

Step by step solution

01

- Understand the Metric Conversion

To convert meters to kilometers, remember that 1 kilometer (km) is equal to 1000 meters (m). This forms the basis for the conversion.
02

- Set Up the Conversion

Since 1 km = 1000 m, you can express the conversion as a division operation: \( \text{kilometers} = \frac{\text{meters}}{1000} \)
03

- Perform the Division

Divide the given number of meters (8921 m) by 1000 to convert to kilometers: \[ \frac{8921 \text{ m}}{1000} = 8.921 \text{ km} \]
04

- State the Result

After performing the division, the number of kilometers is determined to be 8.921 km.

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Key Concepts

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

meters to kilometers
When we talk about converting meters to kilometers, we're dealing with two common units in the metric system. A meter is a little more than a yard, and it's used to measure shorter distances. Meanwhile, a kilometer, which is 1000 meters, is used for longer distances like the length of a road.

To convert meters to kilometers, you need to understand the relationship between these units. Since 1 kilometer equals 1000 meters, you simply divide the number of meters by 1000.

This is a crucial tip for easy metric conversion. For example, to convert 8921 meters to kilometers, you divide 8921 by 1000.
division operation
Understanding the division operation is key to making metric conversions. Division is one of the basic arithmetic operations where you determine how many times one number is contained within another.

In terms of converting meters to kilometers, you're figuring out how many groups of 1000 meters fit into your original number of meters.

For example, to convert 8921 meters to kilometers, you perform the division \( \frac{8921}{1000} \), which equals 8.921. This result means that 8921 meters equals 8.921 kilometers.

Remember, dividing by 1000 is the same as moving the decimal point three places to the left.
metric system
The metric system is a standardized system of measurement used all over the world, especially for scientific purposes. It's based on multiples of ten, which makes conversions straightforward.

Here are some key units and their relationships:
  • 1 meter (m) = 100 centimeters (cm)
  • 1 kilometer (km) = 1000 meters (m)
  • 1 meter (m) = 1000 millimeters (mm)
This hierarchical structure makes it easy to switch between units.

For instance, when you know that 1 kilometer equals 1000 meters, you can easily convert any number of meters into kilometers using division. This simplicity is why the metric system is so widely adopted across various fields and countries.

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