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Chapter 8: Problem 30

Complete. Do as much as possible mentally. 8,000,000 m = ________km

Short Answer

Expert verified
8,000,000 m = 8,000 km

Step by step solution

01

Understand the Relationship Between Meters and Kilometers

1 kilometer (km) is equal to 1,000 meters (m). This relationship is crucial for converting meters into kilometers.
02

Set Up the Conversion

To convert meters to kilometers, divide the number of meters by 1,000. In this case, we need to convert 8,000,000 meters into kilometers.
03

Perform the Division

Divide 8,000,000 by 1,000: \[ 8,000,000 \text{ m} \times \frac{1 \text{ km}}{1,000 \text{ m}} = 8,000,000 \text{ m} \times 0.001 \text{ km/m} \] \[ 8,000,000 \text{ m} \times 0.001 \text{ km/m} = 8,000 \text{ km} \]
04

Write the Answer

The conversion result is that 8,000,000 meters is equal to 8,000 kilometers.

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Key Concepts

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

meters to kilometers conversion
To convert meters to kilometers, you need to know the basic relationship between these units of length. One kilometer is equal to 1,000 meters. This knowledge makes the process of converting meters to kilometers straightforward.

For instance, if you have a distance measured in meters and you want to convert it to kilometers, you divide the number of meters by 1,000.

In our example, we have 8,000,000 meters. By dividing this number by 1,000, we find that it equals 8,000 kilometers.
basic math operations
Understanding basic math operations is essential, especially when it comes to conversion tasks. In the example given, the primary operation used is division.

Division is an arithmetic operation where a number (dividend) is divided by another number (divisor) to give a result (quotient).

When converting meters to kilometers, the division operation helps us to reduce a larger unit (meters) into a smaller unit (kilometers).

In our example:
  • Dividend: 8,000,000 meters
  • Divisor: 1,000 (to convert to kilometers)
  • Quotient: 8,000 kilometers
conversion factor for length units
Length conversion relies on understanding the conversion factor between different units. A conversion factor is a number used to change one unit of measurement to another by multiplying or dividing.

For meters to kilometers, the conversion factor is 1 km/1,000 m. This indicates that 1 kilometer is equivalent to 1,000 meters.

In mathematical terms:
  • 1 kilometer (km) = 1,000 meters (m)
  • The conversion factor: \(\frac{1 \text{ km}}{1,000 \text{ m}}\)
  • When multiplied, the meters cancel out, leaving the result in kilometers


This consistent factor makes the conversion process uniform and simplifies dealing with different units of length.

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