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JEE Main 2026 Preparation: Question Papers, Solutions, Mock Tests & Strategy Unacademy » JEE Study Material » Mathematics » Metric System

Metric System

In this article we are going to understand the metric system, metric system chart and how to understand the metric system in detail

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The metric system of measurement is the standard method for measuring distance, height, and most other everyday things. Consider a container of milk as an example. We measure the volume of milk in litres and the height of the jar in metres (or centimetres). This is due to the fact that these metric units, known as SI units, are used in the majority of countries around the world (International System of Units). Let’s get started by learning more about the metric system.

Definition: Everything around us has a measurement value, from the amount of sugar in a cake to the length of a football field. Each object is measured differently depending on its length, weight, volume, or duration. With these measurements, the concept of “Metric System” is introduced. The metric system of measuring in mathematics is defined as a set of standard units used to measure length, weight, area, and capacity. It uses the decimal system and includes numerals in powers of ten. In our daily lives, we employ metric units in a variety of contexts. This metric system is used and followed in a variety of sectors, including research, medicine, governance, and defence. Some examples of metric systems are as follows:

  • Rahul ran 2 kilometres.

  • The pumpkin weighs 6 kilos.

Now let us understand the Origin of Metric System: Because its units are based on powers of ten, the metric system is a simple measurement method. Around the time of the French revolution, in around 1790, it was realised that existing systems of measurement had become impractical and less useful for trade purposes, so a system based on decimal values of grammes and metres, which was originally the idea of John Wilkins and Gabriel Mouton, came into use for practical purposes. In comparison to other methods of measurement, it was easier to compute the metric values. Gabriel Mouton is widely regarded as the inventor of the metric system of measuring. An English clergyman named John Wilkins created a system for measuring length, mass, area, and volume in 1668. These standard units were developed based on real-world findings. The length of a pendulum with a half-beat of one second became the standard unit of length, and the mass of one litre of water became the standard unit of mass, and so on. The vicar of St. Paul’s Church in France, Gabriel Mouton, proposed a unit of length based on the measurements of the earth two years later, in 1670. He also advocated that the length unit be divided into decimal multiples.

Metric Units: For measuring length, mass, area, and capacity, different metric units are utilised. Millimetres, centimetres, metres, and kilometres, for example, are metric units for measuring length. The units of weight measurement are grammes and kilograms. Look at the table below to learn about all of the metric system units that are used for various purposes.

Measurement of Length:

  • Millimetres – mm

  • Centimetres – cm

  • Metres – m

  • Kilometres – km

Measurement of Mass/Weight:

  • Milligrams – mg

  • Centigrams – cg

  • Grams – g

  • Kilograms – kg

  • Tonne – t

 Measurement of Area:

  • Hectare – ha

  • Square Centimetres – sq. cm

  • Square Metres – sq. m

  • Square Kilometres – sq. km

Measurement of Capacity:

  • Millilitres – ml

  • Centilitres – cl

  • Litres – l

  • Kilolitres – kl

Metric System Chart: The formulas for converting various metric units can be found on the metric system chart. By glancing at the multiplying factor, you can easily convert one unit to another. For example, if you look at the metric system chart, you’ll notice that 1 metre equals 100 centimetres. By multiplying 5 by 100, you may convert 5 metres to centimetres using this formula. Take a look at the metric system diagram below:

 

Length

Mass/Weight

Capacity

1 cm = 10 mm

1 cg = 10 mg

1 cl = 10 ml

1 mm = 0.1 cm

1 mg = 0.1 cg

1 ml = 0.1 cl

1 m = 100 cm

1 g = 100 cg

1 l = 100 cl

1 cm = 0.01 m

1 cg = 0.01 g

1 cl = 0.01 l

1 km = 1000 m

1 g = 1000 mg

1 l = 1000 ml

1 m = 0.001 km

1 mg = 0.001 g

1 ml = 0.001 l

 

1 kg = 1000 g

1 kl = 1000 l

 

1 g = 0.001 kg

1 l = 0.001 kl

 

1 tonne = 1000 kg

 
 

1 kg = 0.001 tonne

 

 

Metric System Conversions: 

Converting one metric unit to another is known as metric system conversion. For example, if Emma measures the height of a pillar at 89 metres but wants to know the value in kilometres, she can use the proper conversion formula to convert m to km. The following are some of the most widely used metric system conversion formulas:

  • Multiply by 100 to convert m to cm.

  • Multiply by 10 to convert cm to mm.

  • Multiply by 1000 to convert km to m.

  • Multiply by 1000 to convert kilograms to grams.

  • Multiply by 1000 to convert grammes to milligrams.

  • Divide by 1000 to convert litres to kilolitres.

  • Divide by 1000 to convert ml to litres.

Weight:

The kilogramme is the standard unit of weight measurement. The beam balance or weighing scale is the typical tool for determining weight. 

  • Multiply by 1000 to convert it to kg.

  • Multiply by 1000 to convert kg to gm.

  • Multiply by 100 to convert gm to cg.

  • Multiply by 10 to convert cg to mg.

  • Divide by 10 to convert mg to cg.

  • Divide by 100 to convert cg to g. 

  • Divide by 1000 to convert g to kg.

  • Divide by 1000 to convert kg to t.

 Point to Remember

  • A metre is the standard unit for measuring length.

  • The kilogramme is the standard unit of weight measurement.

  • The litre is the standard unit of capacity measurement.

  • Hours, minutes, and seconds are used to measure time.

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Frequently asked questions

Get answers to the most common queries related to the JEE Examination Preparation.

What is the Metric System, and how does it work?

Ans.  The metric system of measuring is a decimal-based standard system of me...Read full

What are the countries that do not use the metric system?

Ans: The metric system is not officially used in three countries: the United S...Read full

What is the Metric System and How Does It Work?

Ans:  The metric system uses a set of standard units to measure length, weight, capacity, and time, such as the metre, kilogramme, litre, and hour...Read full

What do the 7 Metric Units stand for?

Ans: The SI units, as we all know, are based on the metric system. As a result, here are the seven SI units:...Read full

What Metric System is Used in the United States?

Ans: Officially, the United States utilises the US customary system of measurement, which includes units such as inc...Read full

Ans.  The metric system of measuring is a decimal-based standard system of measurement. The Unit conversions depend upon the powers of ten. The metric system units can be used to measure length, weight, area, capacity, speed, distance, time, and so on.

Ans: The metric system is not officially used in three countries: the United States, Myanmar, and Liberia.

Ans:  The metric system uses a set of standard units to measure length, weight, capacity, and time, such as the metre, kilogramme, litre, and hour.

 

Ans: The SI units, as we all know, are based on the metric system. As a result, here are the seven SI units:

  1. metre is the unit of measurement for length (m)
  2. second in time (s)
  3. Candela is a measure of the brightness of a light source (cd)
  4. The mole is a unit of measurement for the amount of substance in a substance (mole)
  5. Ampere is a unit of measurement for electric current (A)
  6. Kelvin is a unit of measurement for temperature (K)
  7. kilogramme is a unit of mass (kg)

Ans: Officially, the United States utilises the US customary system of measurement, which includes units such as inches, pounds, ounces, feet, miles, and so on.

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