Introduction: Connecting your Learning

In a ahead lesson, friend were presented to miscellaneous applications because that the United claims Measurement System. Many computer system standards are occurred by an worldwide governing body. Therefore, when standards are emerged for wireless and network technologies, mobile an equipment development, geospatial technologies, and others, the Metric device of measure up is typically used, so that is essential to come to be familiar v both measure systems.

This module discusses the Metric device of Measurement, benefits of the basic ten number system, prefixes, and also conversion from one unit of measure up in the metric mechanism to another.

You are watching: 1/1000 of a meter

focusing Your Learning

Lesson Objectives

By the finish of this lesson, you should be maybe to:

transform units the measurement utilizing the Metric System.


The benefits of the base Ten Number mechanism

The metric device of measure up takes advantage of the base ten number sys­tem. The advantage to utilizing metric system over the unified States device is the in the metric system, that is feasible to transform from one unit of measure to another by multiply or dividing the offered number through a strength of 10. This way you can make a conversion just by moving the decimal allude to the appropriate or the left.


common units of measure in the metric system are the meter (for length), the liter (for volume), and also the gram (for mass). A prefix have the right to be fastened to each unit. The metric prefixes along with their meaning are listed below.

Metric Prefixes

kilo — thousand

hecto — hundreds

deka — ten

deci —tenth

centi — hundredth

milli — thousandth

for example, if size is being measured the adhering to are true:

1 kilometer is indistinguishable to 1,000 meters.1 centimeter is indistinguishable to one hundredth that a meter. 1 millimeter is indistinguishable to one thousandth of a meter.

Conversion from One Unit to an additional Unit

Three qualities of the metric system take place in the metric table of measurements.

In every category, the prefixes room the same. You can move native a bigger to a smaller sized unit of measure by moving the decimal allude to the right. You deserve to move native a smaller to a bigger unit of measure by moving the decimal point to the left.

The adhering to table offers a an introduction of the relationship in between the simple unit of measure up (meter, gram, liter) and also each prefix, and also how many places the decimal suggest is moved and also in what direction.

kilo hecto deka unit deci centi milli

Basic Unit come Prefix Move the Decimal Point
unit come deka 1 to 10 1 location to the left
unit come hecto 1 to 100 2 areas to the left
unit to kilo 1 to 1,000 3 areas to the left
unit come deci 1 come 0.1 1 place to the right
unit come centi 1 come 0.01 2 places to the right
unit to milli 1 to 0.001 3 areas to the right

Conversion Table

provided below, in the unit switch table, are several of the usual metric systems of measure.

Unit conversion Table
Length 1 kilometer(km)=1,000 meters(m) 1,000×1 m
1 hectometer(hm)=100 meter 100×1 m
1 dekameter(dam)=10 meter 10×1 m
1 meter (m) 1×1 m
1 decimeter(dm)= meter .1×1 m
1 centimeter(cm)= meter .01×1 m
1 millimeter(mm)= meter .001×1 m
Mass 1 kilogram(kg)=1,000 grams(g) 1,000×1 g
1 hectogram(hg)=100 grams 100×1 g
1 dekagram(dag)=10 grams 10×1 g
1 gram (g) 1×1 g
1 decigram(dg)= gram .1×1 g
1 centigram(cg)= gram .01×1 g
1 milligram(mg)= gram .001×1 g
Volume 1 kiloliter(kL)=1,000 liters(L) 1,000×1 l
1 hectoliter(hL)=100 liters 100×1 l
1 dekaliter(daL)=10 liters 10×1 together
1 liter (L) 1×1 l
1 deciliter(dL)= liter .1×1 together
1 centiliter(cL)= liter .01×1 together
1 milliliter(mL)= liter .001×1 l
Time Same as the United states System

Distinction in between Mass and also Weight

There is a distinction between mass and also weight. The weight of a human body is related to gravity conversely, the fixed of a body is not. For example, your weight on the earth is different than the is ~ above the moon, yet your fixed is the exact same in both places. Mass is a measure up of a body"s resistance to motion. The an ext massive a body, the an ext resistant the is to motion. Also, an ext massive bodies weigh much more than body with less mass.

Converting Metric Units

To transform from one metric unit to another metric unit:

recognize the location of the original number on the metric scale (pictured in every of the following examples).

Move the decimal allude of the initial number in the very same direction and the appropriate variety of places to relocate to the wanted metric unit.

you can additionally convert native one metric unit to another using unit fractions. Take a look at at part examples.

Example 1

The load of a computer system screen is 3 kg. Convert the measurement to g. (a) 3 kg can be created as 3.0 kg. Then,



Thus, 3 kg = 3,000 g.

(b) girlfriend can also use unit fountain to do this conversion.

since you room converting come grams, and also 1,000g = 1 kg, you pick the unit portion because grams is in the numerator.

3 kg = 3 kg ⋅
= 3 ⋅ 1,000 g
= 3,000 g

Example 2

transform 67.2 hectoliters to milliliters.



Thus, 67.2 hL = 6,720,000 mL.

Example 3

The secretary has actually placed her computer and a fax machine on a table which actions to 100.07 cm. Transform the measurement come meters.



Thus, 100.07 cm=1.0007 m.

Example 4

Convert 0.16 milligrams come grams.



Thus, 0.16 mg=0.00016 g.

Binary Numbers

A binary prefix is provided to identify a unit that digital information. In stimulate to know binary prefixes, friend must know what binary number represent. Binary numbers stand for numeric values using two symbols: 0 and also 1. Nearly all digital computers these days room binary, definition that they deal with numbers express in binary fairly than decimal. This way that storage addresses, and thus storage sizes, are additionally expressed in binary.

pick the following link to review a graph of information detailing prefixes for multiples of bits and bytes.

Prefixes for Multiples of Bits or Bytes

For extr information around binary numbers pick the complying with links.

Binary Numbers

khan Academy: Binary Numbers

now that friend have included to your knowledge by reviewing the lesson and the examples, that is time to clock the complying with Khan Academy videos. These videos will provide additional explanations and working examples of just how to convert measurements in ~ the metric system.

Math video clip Toolkit:

Converting within the Metric System

applying the Metric System

practice Exercise: converting Measurements

Now you get a chance to work out part problems. You might use a calculator if you would like. Examine each that these troubles carefully; you will see similar problems top top the lesson understanding check.

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Select the following link to complete the exercise activity. Girlfriend will require to obtain out a piece of file and a pencil to finish the practice problems.

Conversions utilizing the Metric device Practice Problems

Once you finish the practice activity, check to see just how well you did by choosing the complying with link:

Solutions: Conversions utilizing the Metric device

Summarizing Your finding out

As you end up this module, you have seen plenty of units that measure, and also you have end up being familiar with the method used to transform measurements. Converting does not protect against with just knowing the U.S. System and the metric system. Computer systems use another significant system that measurement: the conversion between bytes, megabits, kilobytes, gigabytes, terabytes, and so on. As you work with computers, this conversion immediately happens, but sometimes it is straightforward to forget the a computer system programmer had actually to placed this conversion aspect in ar for computer systems to be an ext user-friendly. You might want come research exactly how the binary system that is supplied by computers works.

Assessing her Learning

Now that you have actually read end the lesson carefully and attempted the practice difficulties it is currently time to complete a knowledge check. Please keep in mind that this is a graded part of this lesson therefore be sure you have actually prepared yourself before starting.
finish the Measurement: Conversions using Metric System.