Saturday 28 January 2012

Unit Conversion and Measurement in Grade V

Hi friends, Previously we have discussed about number sense worksheets and today's session is here for measurement and unit conversion in grade V from Maharashtra Board Syllabus. While studying measurement, we simply talk about some standard measuring units and will know how to solve math questions based on it. In earlier times people used to measure the length with palms, feet. but the problem faced were that the palms and the feet of the kids varied from that of adults.
Let us imagine a situation, a man asked his son to bring the rope of length of 10 palms from the market. when he returned back with the rope, father took the rope and measured it. father got annoyed, did you know why? Yes, the rope he received was only 6 palms long. No children, it was not the fault of the son, but simply the difference that existed as the measure of the palm of the son and his father was different.
To overcome such problems of measurements, the standard units of measurements were developed. To do any of the mathematical calculations on the objects, it must be remembered that the units are same. It means that addition, subtraction, multiplication, and division can be done on the lengths only if they are having same units.
If the units are not same we convert one unit to another. This process of converting one unit to another is called Unit conversion. Unit conversion is very important role in mathematics. The standard unit of measurement is as follows (want to Learn more about Unit Conversion,click here),
For length we use Meter
For weight we use Kilograms
For  capacity we use Liter
The hierarchy of units are as follows:
Milli
Centi
Deci
UNIT
Deca
Hecto
Kilo
The upper one i.e. milli is the smallest and the last appearing unit i.e. kilo is the largest one. When we have to convert smaller unit to the bigger unit, we do division and when we have to convert the bigger unit to smaller unit, we do multiplication. Let us understand it more clearly by an example:
To change 24 millimeter to centimeter we divide 24 by 10
   = 24/ 10 cm
= 2.4 cm
Similarly  to convert 125 millimeter to decimeter we divide 125 by 100
 = 125 / 100 decimeter
= 1.25 decimeter
In the same way to change centimeter to millimeter  we multiply by 10
 Convert 23 cm to mm
= 23 * 10 mm
= 230 mm
To convert kilometer to hectometer, we multiply by 10
 Convert 12 km to hectometer
 = 12 * 10
= 120 hectometer
Convert 12 km to decameter, we multiply by 100
= 12 * 100 decameter
= 1200 decameter
Convert 12 km to meter, we multiply by 1000
 = 12 * 1000 = 12000 meters
Now we take an example
Say  we have to add 5 Km and 25 meters/ As the units are not same, they cannot be added. So we either convert 5 km to meters  or 25 meters to km so that the units become same and the mathematical operation can take place.
So 25 m = 25 / 1000 km
   = 0.025 km
Now we write add 5 km and 0.025 km
= (5 + 0.025) km
= 5.025 km
In the same way by bringing the units same, we can do any mathematical operation on them.
So this is a brief article about unit conversion and measurement in grade V. If you have any problem in solving unit problems,Steps in problem solving and Problem solving strategies then you can take help of online calculators.

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