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Metric System Explained with Units and Conversions

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What Is the Metric System Definition Base Units and Conversion Examples

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

 

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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 Explained with Units and Conversions

1. What is the metric system in maths?

The metric system is a decimal-based system of measurement that uses units like metres, grams, and litres, where conversions are based on powers of 10. It is used worldwide for measuring length, mass, and capacity.

  • Length: metre (m)
  • Mass: gram (g)
  • Capacity: litre (L)
  • All conversions are done by multiplying or dividing by 10, 100, 1000, etc.
This base-10 structure makes metric conversions simple and consistent.

2. What are the basic units in the metric system?

The basic units of the metric system are metre (m) for length, gram (g) for mass, and litre (L) for capacity. These units form the foundation for other metric measurements.

  • 1 kilometre = 1000 metres
  • 1 kilogram = 1000 grams
  • 1 millilitre = 0.001 litre
These units follow a decimal pattern, making them easy to scale up or down.

3. How do you convert units in the metric system?

To convert units in the metric system, you multiply or divide by powers of 10 depending on the direction of conversion. Moving to a smaller unit means multiplying; moving to a larger unit means dividing.

  • Example: 3 km to m → 3 × 1000 = 3000 m
  • Example: 500 cm to m → 500 ÷ 100 = 5 m
This method works because the metric system is based on decimals.

4. What is the metric conversion chart?

A metric conversion chart shows the order of metric units from larger to smaller to help with easy conversion. The standard order for length is:

  • Kilometre (km)
  • Hectometre (hm)
  • Decametre (dam)
  • Metre (m)
  • Decimetre (dm)
  • Centimetre (cm)
  • Millimetre (mm)
Each step between units represents a factor of 10.

5. What is the difference between metric and imperial systems?

The main difference between the metric and imperial systems is that the metric system is decimal-based, while the imperial system uses irregular conversion factors. Metric conversions use powers of 10, but imperial units do not.

  • Metric: 1 km = 1000 m
  • Imperial: 1 mile = 1760 yards
  • Metric is used globally; imperial is mainly used in the US
This makes the metric system simpler for calculations in maths and science.

6. What are the prefixes used in the metric system?

Metric prefixes show how many times larger or smaller a unit is compared to the base unit. Common prefixes include:

  • Kilo- = 1000 times (10³)
  • Hecto- = 100 times (10²)
  • Deca- = 10 times (10¹)
  • Deci- = 1/10 (10⁻¹)
  • Centi- = 1/100 (10⁻²)
  • Milli- = 1/1000 (10⁻³)
These prefixes simplify expressing very large or very small measurements.

7. How many millimetres are in a metre?

There are 1000 millimetres in 1 metre. This is because “milli-” means one-thousandth (1/1000) of the base unit.

  • 1 metre = 100 centimetres
  • 1 centimetre = 10 millimetres
  • So, 1 m = 100 × 10 = 1000 mm
This follows the base-10 structure of the metric system.

8. How do you convert kilograms to grams?

To convert kilograms to grams, multiply by 1000 because 1 kilogram equals 1000 grams. The prefix “kilo-” means one thousand.

  • Formula: grams = kilograms × 1000
  • Example: 4 kg = 4 × 1000 = 4000 g
This conversion is commonly used in mass and weight calculations.

9. Why is the metric system based on powers of 10?

The metric system is based on powers of 10 to make calculations and unit conversions simple and consistent. Because it is decimal-based, shifting between units only requires moving the decimal point.

  • 1 km = 10³ m
  • 1 cm = 10⁻² m
  • Conversions involve multiplying or dividing by 10ⁿ
This structure supports easy arithmetic in maths and science.

10. Can you give an example of a metric conversion word problem?

A typical metric conversion word problem involves changing units using powers of 10. Example: A bottle contains 2.5 litres of water. How many millilitres is that?

  • 1 litre = 1000 millilitres
  • 2.5 × 1000 = 2500 mL
So, 2.5 litres equals 2500 millilitres. This demonstrates how to apply metric unit conversion in real-life maths problems.