Problem 31 Express the following SI units i... [FREE SOLUTION]

Chapter 1: Problem 31

Express the following SI units in symbol form: kilometer

Short Answer

Expert verified

The symbol form for the unit kilometer is \(km\), which is obtained by combining the prefix 'k' and the base SI unit 'm'.

Step by step solution

The base SI unit for measuring length is the meter, which is represented by the symbol 'm'. #Step 2: Determine the prefix for 1000#

In the SI system, the prefix for 1000 is 'kilo', which is represented by the symbol 'k'. #Step 3: Combine the prefix and the SI unit#

To express the unit of kilometer in symbol form, we combine the prefix 'k' with the base SI unit 'm'. #Step 4: Write the final symbol for kilometer#

The symbol form for the unit kilometer is km, which is written by combining the prefix 'k' and the base SI unit 'm'.

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Key Concepts

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

Unit Conversion

Unit conversion is an essential skill in science and engineering. It allows us to convert measurements from one unit to another, ensuring consistency and clarity in communication. At its core, unit conversion involves two main concepts: understanding the relationship between different units and applying a consistent method to convert these values.
For example, when converting from one SI unit to another, such as from meters to kilometers, you need to know how these units relate. You multiply or divide the original measurement by a conversion factor.

The conversion factor between meters and kilometers is 1000 because 1 kilometer equals 1000 meters.
Hence, to convert meters to kilometers, divide the number of meters by 1000.
Conversely, multiply the number of kilometers by 1000 to get the value in meters.

These simple multiplication and division steps ensure accurate conversions between units.

Kilometer

The kilometer is a widely used metric unit of length. It is one of the standard units for measuring distance, especially for longer distances like those between cities or landmarks. The term "kilometer" is made up of two parts: "kilo," which is a prefix denoting a factor of 1000, and "meter," the base unit of length in the International System of Units (SI).
In symbol form, a kilometer is expressed as "km". This helps simplify written text and equations by using a concise, universal format.

This unit is practical due to its larger scale, making it more convenient than meters when dealing with extensive distances.
Many countries worldwide use kilometers to measure speed and distance on roads due to its efficiency and ease of understanding.

Understanding what a kilometer is and how it relates to other units can make describing and measuring distances more accessible.

SI Prefixes

SI prefixes are incredibly useful tools in the world of measurement. These prefixes precede a base unit to indicate a specific multiple or fraction of that unit, making calculations simpler and more understandable.
This system uses a set list of prefixes. In the case of a kilometer, the prefix "kilo-" denotes a multiple of 1000. Therefore, when you see "km", you know it translates to 1000 meters.

Kilo is not the only SI prefix; others include "centi-" for 0.01, and "milli-" for 0.001.
These prefixes allow for quick estimations and conversions between units, enhancing efficiency in scientific work.
They also help standardize measurements, ensuring everyone has a clear understanding regardless of their background.

Grasping SI prefixes enables one to better navigate the diverse landscape of units and conversions encountered in various fields.

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Express the following SI units in symbol form: kilometer

Short Answer

Step by step solution

The base SI unit for measuring length is the meter, which is represented by the symbol 'm'. #Step 2: Determine the prefix for 1000#

To express the unit of kilometer in symbol form, we combine the prefix 'k' with the base SI unit 'm'. #Step 4: Write the final symbol for kilometer#

Key Concepts

Unit Conversion

Kilometer

SI Prefixes

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