Hello friends,Previously we have discussed about antiderivative of fractions and in today's session we all are going to discuss about one of the most interesting topic of mathematics, standard and non-standard units of measurement and how we measure these units in direct/indirect manner in our everyday life which comes under central board of secondary education books.
First of all we will discuss what is standard units of measurements and how to solve math word problems related to it?
We deal with many measurement issues in our day-to-day life like somebody asks us about our weight and height then we answer directly that my weight is 30 kg and my height is around 4 feet . Why we give our answer in kilogram and feet because kilogram is standard unit of mass and feet is the standard unit to measure height. So, we can say that standard units are those units which are generally used in our everyday life. Some of the important standard units of measurement are as follows
length = meter (m)
weight = kilogram(kg)
Volume = liter (ltr)
Time = second(sec)
Height = feet(ft)
Now further we discuss what is non standard unit of measurement?
Non standard units are those units which are not generally used in our daily life like
antique, ancient, archaic units like fathoms, acres, cubits, miles, stones, hundredweights, pounds, pecks, bushels, gills, pints, quarts, gallons .
Actually standard and non -standard units of measurement are related to each other like length conversion of units
1 myriameter = 10 kilometer
1 kilometer = 10 hectometer
1 hectometer = 10 decameter
1 decameter = 10 meter
1 meter = 10 decimeter
1 decimeter = 10 centimeter
1 centimeter = 10 millimeter
1 foot = 12 inch
1 inch = 1000 mils
and next chart describes conversion of units in weight
1 metric ton = 1000 kilogram
1 short ton = 2000 pounds
1 stone = 14 pounds
1 kilogram = 2.2 pounds
1 kilogram = 1000 grams
These are some conversion charts which tells us about connection between standard and non - standard units of measurement.
Now we are going to discuss our next topic direct/indirect measurement of units
When we do measurement of unit with help of measurement devices like thermometer for measuring temperature, scale to measuring length and weight machine to measure weight then this type of measurement is called as a direct measurement of unit like we measure marble with the help of our measurement machine and we get measurement result like weight of marble is 5kg , length is 20 meter and height is 2 feet.
When direct measurement is not possible then we use indirect measurement, where Indirect measurement is a technique that uses proportions between similar figures to find a measurement, like we have two similar figures of tree, one is big tree and other tree is small and we have to find out height of tree, then here we use proportional technique between both similar tree figure to measure the height of big tree.
3/h = 6/24 write a proportion
6h = 3*24 find cross products
6h = 72 solve equation
h = 12
So the tree is 12 ft tall.
This example shows how indirect measurement is done with the help of proportions. This is all about direct / indirect measurement of units.
So in this session we learn about standard, non-standard units of measurement and direct and indirect measurement of units. I hope you learn many things about measurement of units from this session and if anyone want to know about equally likely events then they can refer to Internet and text books for understanding it more precisely.Read more maths topics of different grades such as Problems on sum of angles for Grade V in the next session here.
First of all we will discuss what is standard units of measurements and how to solve math word problems related to it?
We deal with many measurement issues in our day-to-day life like somebody asks us about our weight and height then we answer directly that my weight is 30 kg and my height is around 4 feet . Why we give our answer in kilogram and feet because kilogram is standard unit of mass and feet is the standard unit to measure height. So, we can say that standard units are those units which are generally used in our everyday life. Some of the important standard units of measurement are as follows
length = meter (m)
weight = kilogram(kg)
Volume = liter (ltr)
Time = second(sec)
Height = feet(ft)
Now further we discuss what is non standard unit of measurement?
Non standard units are those units which are not generally used in our daily life like
antique, ancient, archaic units like fathoms, acres, cubits, miles, stones, hundredweights, pounds, pecks, bushels, gills, pints, quarts, gallons .
Actually standard and non -standard units of measurement are related to each other like length conversion of units
1 myriameter = 10 kilometer
1 kilometer = 10 hectometer
1 hectometer = 10 decameter
1 decameter = 10 meter
1 meter = 10 decimeter
1 decimeter = 10 centimeter
1 centimeter = 10 millimeter
1 foot = 12 inch
1 inch = 1000 mils
and next chart describes conversion of units in weight
1 metric ton = 1000 kilogram
1 short ton = 2000 pounds
1 stone = 14 pounds
1 kilogram = 2.2 pounds
1 kilogram = 1000 grams
These are some conversion charts which tells us about connection between standard and non - standard units of measurement.
Now we are going to discuss our next topic direct/indirect measurement of units
When we do measurement of unit with help of measurement devices like thermometer for measuring temperature, scale to measuring length and weight machine to measure weight then this type of measurement is called as a direct measurement of unit like we measure marble with the help of our measurement machine and we get measurement result like weight of marble is 5kg , length is 20 meter and height is 2 feet.
When direct measurement is not possible then we use indirect measurement, where Indirect measurement is a technique that uses proportions between similar figures to find a measurement, like we have two similar figures of tree, one is big tree and other tree is small and we have to find out height of tree, then here we use proportional technique between both similar tree figure to measure the height of big tree.
3/h = 6/24 write a proportion
6h = 3*24 find cross products
6h = 72 solve equation
h = 12
So the tree is 12 ft tall.
This example shows how indirect measurement is done with the help of proportions. This is all about direct / indirect measurement of units.
So in this session we learn about standard, non-standard units of measurement and direct and indirect measurement of units. I hope you learn many things about measurement of units from this session and if anyone want to know about equally likely events then they can refer to Internet and text books for understanding it more precisely.Read more maths topics of different grades such as Problems on sum of angles for Grade V in the next session here.
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