Metric System
SI Units Metric System
The SI Units (standard International System of Units) give proper definitions for meter, kilogram and the second. It also specifies and defines four different additional units :
Kelvin- temperature
Ampere – Electric Current
Candela- luminous Intensity
Mole – Material Quantity
Metric Number Prefixes
In order to remember the proper movement of units, arrange the prefixes from the largest to the smallest.
| Kilo | hecto | deca | Unit | deci | centi | milli |
| 103 | 102 | 101 | 100 | 10-1 | 10-2 | 10–3 |
Thus, the conversion from one unit to the other unit is done by multiplying or dividing the powers of 10.
Now, let us discuss some of the units for length, weight, volume, and time.
Length:
The most common units used to measure the length are as follows:
| Kilometer (km) | Hectometer (hm) | Decameter (dam) | Meter (m) | Decimeter (dm) | Centimeter (cm) | Millimeter (mm) |
| 1000 | 100 | 10 | 1 | 1/10 | 1/100 | 1/1000 |
Also, check: Centimeter
Volume or Capacity
The most common units used to measure the capacity or volume of any object are as follows:
| Kiloliter (kl) | Hectoliter (hl) | Decaliter(dal) | Liter (l) | Deciliter (dl) | Centiliter (cl) | Milliliter(ml) |
| 1000 | 100 | 10 | 1 | 1/10 | 1/100 | 1/1000 |
Weight
The most common units used to measure the weight of any object are as follows:
| Kilogram (kg) | Hectogram (hg) | Decagram (dag) | Gram (g) | Decigram (dg) | Centigram (cg) | Milligram (mg) |
| 1000 | 100 | 10 | 1 | 1/10 | 1/100 | 1/1000 |
Time
To calculate the time, the base unit is second. Now, let us discuss some other units of time.
1 minute = 60 seconds
1 hour = 60 minutes
1 day = 24 hours
1 week = 7 days
1 month = 30 or 31 days (Note: February has 28 days, but in leap year February has 29 days)
1 year = 12 months (or)
1 year = 365 days (But, in leap year, 1 year = 366 days)
Whether you want to measure very small or very big things, You can go for metric number prefixes—for example- kilo and milli.
There are some common units that are based on the kilogram, meter and second.
- Area = Square Meter (Area= length by length) Therefore the basic unit of area is equal to meters by meters = m2 (square meters).
- Volume = Cubic Meter. Therefore, the basic unit of volume = m3 (cubic meters).
- Liter = one-thousandth of a cubic meter(1 m3 = 1,000 Liters) Therefore, 1 Liter = 1/1000 m3
- Time = Hour (1 hour=60 minutes, 1 minutes=60 seconds) Therefore,1 hour= 60×60= 3600 seconds
- Day = (1 day= 24 hours) Therefore, 1 day= 24 x 60 x 60 = 86400 seconds
Important Things to Remember
Metric System Conversion
We can follow different methods for metric conversions. The below metric conversion chart shows the conversion of Metric Units to Metric Units for Length.
Conversion Ratio
In the measurement of units, the metric conversion ratio is a ratio, which is equal to 1. It is also known as unit factors. It is used to convert the units between the same system, as well as the conversion between the metric and the English systems. It is based on the concept of equivalent values. Similarly, a conversion factor is defined as a number that is used to convert one unit to another unit by dividing or multiplying to get the equivalent values.
For example, to convert 5 meters to centimetres, a conversion factor is required.
We know that 1 meter = 100 centimetres
Thus, the conversion factor is “multiplying by 100”.
(i.e.,) 5 m = 5 x 100 cm
5 m = 500 cm
Therefore, the conversion from 5 m to cm is 500 cm.
In terms of conversion ratio, it can be written as:
5m / 500 cm = 1
Metric System Examples
The following examples explain the conversion from one unit to the other unit.
Example 1:
Convert 356 centimetres to meters.
Solution:
We know that, 1 cm = 0.01 m
Thus, 356 cm = 356 x 0.01
356 cm = 3.56 m.
Therefore, 356 cm is equivalent to 3.56 meters.
Example 2:
Convert 4000 grams to kilograms.
Solution:
We know that, 1 gram = 0.001 kilogram
Thus, 4000 g = 4000 x 0.001
4000 g = 4 kilogram
Therefore, 4000 grams is equivalent to 4 kilogram
Example 3:
Convert 50 kilolitres to liters.
Solution:
We know that 1 kilolitre = 1000 liters
Thus, 50 kilolitres = 50 x 1000 litres
50 kilolitres = 50000 litres
Therefore, 50 kilolitres are equivalent to 50000 liters.
Frequently Asked Questions on Metric Systems
Q1
What is meant by the metric system?
The metric system is defined as the system of measurements to calculate the mass, distance, and volume of any object. We generally use the metric system to measure smaller or larger quantities.
Q2
What are the base units for length, weight, and volume in a metric system?
In the metric system, the base units for length, weight, and volume are meters, grams, and liters respectively.
Q3
Mention the US standard units for length, weight, and volume.
In US customary systems, the units used are:
Distance or length in miles, yards, feet, inches
Mass or weight in pounds, tons, ounces
Capacity or volume in cups, gallons or quarts, pints, fluid ounces.
Q4
What is meant by metric number prefixes?
The metric number prefix is defined as a unit prefix, which precedes a base unit to indicate the multiple or the submultiple of a unit. Some of the metric prefixes are:
Kilo (1000 or 103)
Hecto (100 or 102)
Deca (10 or 101)
Base unit (1)
Deci (1/10 or 10-1)
Centi (1/100 or 10-2)
Milli (1/1000 or 10-3)
Q5
Convert 80 grams to milligrams.
We know that 1 gram = 1000 milligrams
Therefore, 80 grams = 80 x 1000 milligrams
80 grams = 80000 milligrams
Thus, 800 grams is equivalent to 80000 milligrams.
Here’s a quick chart to help with converting metric units to imperial ones:
| Metric | Imperial |
| 2.5 centimetres | 1 inch |
| 30 centimetres | 1 foot |
| 1.6 kilometres | 1 mile |
| 450 grams | 1 pound |
| 6.4 kilograms | 1 stone |
| 4.5 litres | 1 gallon |
Converting Units Maths Knowledge Organiser
Measurement Conversion Display Posters
Metric Units
.
| Purpose | Metric Units | Abbreviated as |
|---|
| Measurement of Length | Millimeters | mm |
| Centimeters | cm |
| Meters | m |
| Kilometers | km |
| Mass/Weight Measurement | Milligrams | mg |
| Centigrams | cg |
| Grams | g |
| Kilograms | kg |
| Tonne | t |
| Measurement of Area | Square centimeters | sq. cm |
| Square meters | sq. m |
| Square kilometers | sq. km |
| Hectare (10,000 square meters) | ha |
| Capacity Measurement | Millimeters | ml |
| Centiliters | cl |
| Liters | l |
| Kiloliters | kl |
| 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 | |
CR :: https://byjus.com/maths/metric-system/ , https://www.twinkl.co.uk/teaching-wiki/metric-system . https://www.cuemath.com/measurement/metric-system/
