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Chapter 8: Problem 1

Complete. Do as much as possible mentally. a) 1 km =_____ m b) 1 m = _____km

Short Answer

Expert verified
1 km = 1,000 m, 1 m = 0.001 km

Step by step solution

01

- Understand the Metric System Conversion

Recall the basic units of the metric system. 1 kilometer (km) is equal to 1,000 meters (m), and 1 meter is equal to 0.001 kilometers.
02

- Convert kilometers to meters

To convert kilometers to meters, multiply the number of kilometers by 1,000. Thus, 1 km is equal to 1 脳 1,000 = 1,000 m.
03

- Convert meters to kilometers

To convert meters to kilometers, divide the number of meters by 1,000. Thus, 1 m is equal to 1 梅 1,000 = 0.001 km.

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Key Concepts

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

kilometers to meters conversion
Converting kilometers to meters is a straightforward process in the metric system. This system is based on powers of 10, making it very simple to move between units. Remember that:

1 kilometer (km) equals 1,000 meters (m).

To convert kilometers to meters, multiply the number of kilometers by 1,000. For instance:

- To convert 1 km to meters: 1 km 脳 1,000 = 1,000 m
- For 5 km to meters: 5 km 脳 1,000 = 5,000 m

This simple multiplication is all that鈥檚 needed to switch from kilometers to meters.
meters to kilometers conversion
When converting meters to kilometers, it involves division by 1,000. This is because there are 1,000 meters in a single kilometer.

1 meter (m) equals 0.001 kilometers (km).

To convert meters to kilometers, divide the number of meters by 1,000. For example:

- To convert 1 meter to kilometers: 1 m 梅 1,000 = 0.001 km
- For 500 meters to kilometers: 500 m 梅 1,000 = 0.5 km

By dividing the meters by 1,000, you easily get the equivalent value in kilometers.
understanding metric system
The metric system is a decimal-based system of measurement used worldwide. It is highly efficient because it uses units scaled by powers of ten.

Key metric units include:

  • Meter (m) for length
  • Kilogram (kg) for mass
  • Second (s) for time
For length conversions:

- 1 kilometer = 1,000 meters
- 1 meter = 100 centimeters
- 1 centimeter = 10 millimeters

This consistency makes conversions much easier. Simply multiply or divide by a power of 10 to switch between units.

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