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Metric System of Measurement

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What is the Metric System

The metric system is primarily a system used for measuring length, volume, distance, temperature, and weight. It relies on the three basic units through which anything in the world can be measured. 

  • Meter (m) - It is used for measuring length

  • Kilogram (kg) - It is used for measuring mass

  • Second (s) - it is used to measure time.

The metric system of measurement was introduced in the year 1799. Over several years, this system has been lengthened to integrate many units. Although, numerous variants of this system originated in the late 19th and early 20th century. The term metric system is another word for SI or the International systems of India.

 

SI Unit Metric System

The standard International System of Units ( SI Units) provides an accurate definition for meters, kilograms, and the seconds. It also describes and states four different additional units such as:

  • Candela - Luminous intensity

  • Ampere - Electric Current

  • Kelvin - Temperature 

  • Mole - Material Quantity

 

Metric Number Prefixes

Metric number prefixes can be used to measure very small or big things. For example- Kilo and Milli.

 

Common Metric Conversion Units

Here are some of the common metric conversion units that are based on the Kilogram,  meters and seconds.

  • Area = Square meters ( area=length x length) Hence, the basic unit of measuring area is metres by metres = m²

  • Volume = cubic  meters ( Volume=length x length) Hence, the basic unit of measuring volume is m³ ( cubic metres).

  • Liter = One-thousandth of a cubic  meter ( 1m³ = 1000 liters). Hence, 1 liter= 1/1000 m³

  • Time = Hour ( 1 hour= 60 mins, 1 minute= 60 seconds) Hence, 1 hour = 60 x 60=3600 seconds

  • Day = ( 1day = 24 hours) Hence, 1 day = 24 x 60 x60 = 86400 seconds.

 

Metric Units

Here are Some Common Metric Units to Remember:

Quantity

Name of Units

Symbol

Value

Length

Millimeter

Centimeter

Meter

Kilometer

mm

cm

m

km

10mm   = 1cm

100cm  =  1m

1000m  =  1km

Mass

Milligram

Gram

Kilogram

Tonne

mg

g

kg

t

1000mg = 1g

1000g  = 1kg

1000kg = 1t

Time

Second

Minute

Hour

Day

s

min

h

day

60s = 1min

60min = 1h

24h = 1day

Temperature

Degree Celsius



Volume

Cubic millimeters

Cubic centimetres

Cubic metres

mm³

cm³

1 cm³ = 1000m³

1m³ = 1,000,000 cm³

Area 

Square millimeters

Square centimeters

Square metres

mm2

cm2

m2

1 cm2 = 100 mm2

1 m2 = 10,000 cm2

1 ha2 = 10,000 m2

Capacity 

Milliliter

Litre

Kiloliter 

ml

l

kl

1000 ml = 1 L

1000 L  = 1kL


Units mentioned in bold are standard units

 

Metric System Conversion

Here, you learn metric system conversion of smaller to bigger units and bigger to smaller units.

The conversion of a smaller unit to a  bigger unit is similar to the conversion method of a bigger unit to a smaller unit. While converting a bigger unit to a smaller unit, ,you move the decimal point to the right side which implies that you multiply the factor but when you convert a smaller unit to a bigger one, you move the decimal point to the left side which implies that you divide the factors.

 

Solved Example for Metric Conversion of Bigger Unit to the Smaller Unit

  1. Convert 10.20  kilograms( bigger unit)  to grams (smaller unit)

Solution: As, we are converting a bigger unit to a smaller unit, we will multiply by the factor and move the decimal point to the right

Accordingly,

10.20 kg x 1000 = 10200 g

 

Evolution of Metric System

The metric system is known as a measurement system that decimalises and succeeds the metre based system. First, it was also introduced in France in the 1790s. If we talk about the historical development of a metric system, this has resulted with the help of varied principles. Every fundamental dimension is circulated via a single measurement base unit. 


The base unit as per its definition has been experienced increasingly with the help of natural principles in place of physical artefacts copies. Here the system's base units are acquired through the fundamental units, these units are used as the base units such as square metre works as the unit area that is known as the length quantity. The derived unit in this system is coherent. This means to say they include merely  powers products from the base units in the absence of empirical factors. For the offered quantity, the unit owns a symbol and name that is special. This is also an extended group of large and small units that are based on the powers of ten factors. 


Since 1790, the metric system has been evolving with the evolution of technology and science by offering a universal system of measurement. Since the introduction of the International System of Units i.e. SI, other systems have also joined such as MKSA and MKS systems of units.


Solved Example for Metric Conversion of a Smaller Unit to a Bigger Unit

  1. Convert 730 centigrams to grams

Solution: As,we are converting a smaller unit to a bigger unit, we will divide by the factor and move the decimal point to the left side

Accordingly,

730 cg ÷ 100 = 7.30 g

 

Metric System Conversion Table

Here is a metric system conversion table which helps you to solve the questions based on metric system conversion

 

Solved Example

  1. Convert 4 Kilometers to meters

Solution: To convert kilometers to meters, we will jump 3 times from kilometers to reach the meters

Accordingly, we will multiply by 10³ = 1000

So, 4km = 4 x 1000= 4000 metres

  1. Convert 6250 milligrams to grams

Solution: As we know, one gram is 1000 times larger than a milligram. Accordingly,  

1 gram = 1000 mg

And,

1 mg = 1/1000 gms

6250 mg= 6250/1000 gms

Hence, 6250 = 6.250 gms

 

Facts

  • A metric system of measurement was introduced in the 1790s in France.

  • The centimeter gram second or meter kilogram second was primarily used until the establishment of the international system of the unit in 1960.

 

Quiz Time

  1. What is 0.005 ml?

  1. 0.00005 liters

  2. 5 liters

  3. 50 liters

  4. 0.0005 liters

     2. 20 gram is similar to

  1. 2000 mg

  2. 20000 mg

  3. 200000 mg

  4. 200 mg

      3.  A cubic centimeter is used to measure

  1. Length

  2. Volume

  3. Mass

  4. Density

    4.    Convert 560 mg to g

  1. 506 g

  2. 0.0056 g

  3. 56000 g

  4. 0.56 g

    5.   Which is a base unit in the metric system?

  1. Meter

  2. Liter

  3. Gram

  4. All of the above

 

Why Vedantu for you?

Both students and parents around the world make efforts to go the extra mile to ensure quality education. The reason is quite clear that the competition is getting high and they need extra learning support. And, with the evolution of technology, online classes from a platform like Vedantu has become the need of the hour. And, the students of mathematics find it more crucial as the maths study is crucial for them if they want to prepare for competitive examinations in the future. Here, Vedantu turns to be your best pick for varied reasons: 

 

The promise of Vedantu learning real-time, anywhere and anytime offers flexible coaching for the students. The course is designed according to the recent academic syllabus. And, Vedantu teachers ensure that the students must not find it difficult and they do not take it as an extra load during learning something.

 

Before you start the coaching, you can check the rating of the teacher and there is also student feedback that may help you in the selection of the right tutor for your metric system classes.

With Vedantu, the students will be able to access a wide range of valuable digital resources and textbook solutions such as RD Sharma, NCERT, RS Aggarwal, and HC Verma solutions along with the facility of video lectures.

FAQs on Metric System of Measurement

1. Explain Metric Units with Examples.

In Mathematics, we stumble across various physical quantities such as length, weight, temperature, mass, etc. These quantities are linked with some magnitude along with some physical units. A Magnitude is merely a constant number whereas the unit is merely considered as a standard on the basis of which the magnitude has been expressed. Every physical quantity has a predetermined unit of measurement. Metric Unit is the most common topic in Mathematics. The metric system is stated as an international decimal system of measuring physical quantities. Metric unit or metric measurement unit are used for computing units of other quantities, Metric unit is the most common method of measuring distinct types of units throughout the world. These are widely used scientifically, personnel as well as commercially.


Metric units are the base units that are used to develop other larger and smaller units from the standard set of prefixes in powers of 10. Metric systems of units also represented as SI systems. It defines 7 basic units such as length, mass, time, temperature, electric current, amount of substance along luminous intensity. The units of all other quantities are obtained from these 7 units.

2. Explain the Importance of a Standard Unit of Measurement?

Imagine a situation, when a lady wants to purchase a red color handbag, so she goes to a store to purchase it. The shopkeeper speaks only in English. The lady says, “Ich Mochte Rote Farbe Tasche”. The shopkeeper says,“What”!.The lady asked for a red handbag but she said in German. But the shopkeeper  didn't understand her language as it was not a standard language.


Similarly, there are multiple systems and units in place for measuring different quantities such as length, area, mass, volume and many other things. For example- One acre is a common unit of measuring area in India. If you look at the metric system, you will find Oce acre around 4047 square metre. Now, you must have understood how difficult it would be to measure if there were no development of a standard unit of measurement.

3. What are the best ways to prepare for the metric system of measurement?

The key rule to prepare for the metric system of measurement is to study regularly. The first step is to understand all the related concepts thoroughly. Next to it, you need to get versed with all the related formulas as these will help you resolve the equation. The third step is to make notes of the difficulties you are facing while understanding the concepts. Now, it is time to share the confusion and queries with your teacher and get clarity. These few steps can help you prepare the best for your examination. 

4. What can be measured with a metrics system of measurement?

The metric system of measurement is used for measuring varied things such as gram, metre, and litre as the base unit of distance (length), volume (capacity), and mass (weight) respectively. This system has been divided into three varied systems known as the British Imperial System, the International System of Unit also called SI and US Customary System. Out of these three, the most used is the international system of units. Moreover, this system is used not primarily in a single country but is popular all over the world. 

5. Can I expect the best score with the coaching of the metric system of measurement from Vedantu?

Definitely, Vedantu offers all that it takes to score high in the chapter metric system of measurement. We have set up a flexible online teaching podium that allows the students to get the classes with the choice of their teachers. Next, they are free to discuss their queries on the spot and can also download the stuff for their future reference. The quality of the content is superior as it is designed after proper testing of quality markers. Remember that Vedantu guides you the best but you are also required to follow a regular study regimen for becoming a top scorer.