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Measuring System in Maths and Standard Units

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What Is a Measuring System Units Types and Examples Explained

A measuring system is a set of units of measurement and the rules that affect how they are related to one another. The term "measurement" comes from the Greek word "metron," which means "a small amount." In the past, humans utilised bodily parts for informal measuring systems such as foot length, cubit, handspan and so on, which were inaccurate and varied from person to person.


What are the Different Ways of Measurement?

The measurement of length of an object or distance covered can be measured using standard and non-standard ways.

  • Standard Measurement: The length measured using the metric system or using the defined units comes under the standard way of measurement. In these units like metre, kilometre, centimetre, decagram, and milligram are used.

  • Non-standard Measurement: The measurement using the body parts of the person comes under the non-standard way of measurement. The body parts like arms, hands, feet, and elbows are used for this. This is not an exact way to measure things as the length of the body parts is different from one person to another.


Non-Standard Method of Measurement

Non-Standard Method of Measurement


Handspan Measurement

Handspan measurement is done using the palm of the hand. The distance between the tips of the thumb and the tips of the little finger on an open palm is taken into account. The length of the palm of the hand is different for every person. It can be used to measure the length of your books or your water bottle. Long distances like the distance from your school to your home can’t be measured using the palm of your hand.


Cubit Measurement

The cubit length or the length from the elbow to the tip of the fingers can be used to measure length. The cubit measurement can be used to measure objects like clothes, tables, beds and chairs but cannot be used for the longer distances of large objects like walls.


Footspan Measurement

The foot span measurement is done by the tip of the toe and the heel of the foot. The floor can be measured using this type of measurement but it would be very time-consuming. The length of the foot is different for every person and the measurement done using this can vary.


Pace Measurement

Natural walking can also be considered a way to measure distances. Pace measurement or stride measurement is taken by placing the right foot forward followed by the left foot. The footsteps can be counted easily and large distances like the distance from school to home can be measured using pace measurement. But if there is a change in the length of the pace being followed, then it could lead to a wrong calculation of the distance.


Arm Span

Arm span or reach is the physical length measured from one end of an individual's arms (measured at the fingertips) to the other when lifted parallel to the ground at shoulder height at a 90 angle (also referred to as wingspan, or written arm span). We'll use our arm span as a reference to measure the length of the fabric. When determining height, the arm span is sometimes used.


Measuring Objects Using Different Methods


Measuring Objects Using Different Methods


Sample Questions

1. What can be used to measure the length of an object?

  1. Vegetable

  2. Fruits

  3. body parts

  4. Clothes

Ans: Body parts


2. Length of a table can be measured by?

  1. Palm of hand

  2. Foot

  3. through pace measurement

  4. None of the above

Ans: palm of the hand


3. The standard measurement is done using the?

  1. Ruler

  2. Inchtape

  3. metre stick

  4. All of the above

Ans: All of the above


Conclusion

The objects and the distance can be measured using the standard and the non-standard ways. The non-standard ways are not very accurate and would change from person to person. The standard methods are accurate and we can change the unit of the length according to the units that we need.

FAQs on Measuring System in Maths and Standard Units

1. What is a measuring system in Maths?

A measuring system is a standardized method used to measure quantities such as length, mass, time, and capacity using defined units. In Mathematics, measuring systems help ensure consistency and accuracy in calculations and comparisons.

  • Common measuring systems include the Metric System and the Imperial System.
  • They define base units like metre (m), kilogram (kg), and second (s).
  • They are essential for solving word problems and real-life measurement calculations.

2. What are the main types of measuring systems?

The two main types of measuring systems are the Metric System and the Imperial (US customary) System.

  • Metric System: Based on powers of 10 (metre, kilogram, litre).
  • Imperial System: Uses units like inch, foot, pound, and gallon.
  • The metric system is widely used worldwide because it is easier to convert between units.

3. What is the metric system and why is it important?

The metric system is a decimal-based measuring system that uses powers of 10 for easy unit conversion. It is important because conversions only require multiplying or dividing by 10, 100, or 1000.

  • Length: 1 kilometre = 1000 metres
  • Mass: 1 kilogram = 1000 grams
  • Capacity: 1 litre = 1000 millilitres
This simplicity makes mathematical calculations faster and more accurate.

4. How do you convert units in the metric measuring system?

To convert units in the metric system, multiply or divide by powers of 10 depending on the direction of conversion.

  • From larger to smaller unit → Multiply
  • From smaller to larger unit → Divide
Example:
  • Convert 5 km to metres.
  • 1 km = 1000 m
  • 5 × 1000 = 5000 m

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

The key difference is that the metric system is decimal-based, while the imperial system uses non-decimal conversions.

  • Metric: Based on powers of 10 (easy conversion).
  • Imperial: Uses conversions like 12 inches = 1 foot, 3 feet = 1 yard.
  • Metric is used globally; imperial is mainly used in the United States.

6. What are the standard units of length, mass, and capacity?

The standard units in the metric measuring system are metre (m) for length, kilogram (kg) for mass, and litre (L) for capacity.

  • Length measures distance.
  • Mass measures the amount of matter.
  • Capacity measures liquid volume.
These units form the basis of most measurement problems in Maths.

7. How do you measure area and what is its unit?

Area is measured in square units, such as square metres (m²), and is calculated using specific formulas.

  • Rectangle: Area = length × width
  • Square: Area = side × side
Example: If length = 5 m and width = 3 m, Area = 5 × 3 = 15 m².

8. How do you measure volume and what is the formula?

Volume is measured in cubic units, such as cubic metres (m³), and represents the space an object occupies.

  • Cube: Volume = side³
  • Cuboid: Volume = length × width × height
Example: A box with dimensions 2 m, 3 m, and 4 m has volume = 2 × 3 × 4 = 24 m³.

9. What are common measurement conversions students should remember?

Students should remember key metric and imperial measurement conversions for quick problem solving.

  • 1 km = 1000 m
  • 1 m = 100 cm
  • 1 kg = 1000 g
  • 1 L = 1000 mL
  • 12 inches = 1 foot
Memorizing these helps avoid common mistakes in measurement word problems.

10. Why is understanding measuring systems important in real life?

Understanding measuring systems is important because they are used daily in construction, cooking, travel, science, and trade.

  • Distance is measured in kilometres or miles.
  • Weight is measured in kilograms or pounds.
  • Liquids are measured in litres or gallons.
Accurate knowledge of units of measurement ensures correct calculations, safety, and effective communication worldwide.