METRIC MEASURES
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This chapter is divided into 3 parts:
1) Kilometer, meter and centimeter conversions
2) Kilogram and Gram Conversion
3) Litre and Millilitre Conversion
Each of these sections have the following
a) Addition, Subtraction, Multiplication and Division of each units i.e.
Addition of kilometer units, kilogram units and Litre units similarly subtraction, multiplication and Division
Clear......
Now the table of Conversion:
Kilometer  Meter  Centimeter 
km (short form)  mt  cm 
1 kilometer =  1000 meter  
1 meter =  100 cm  
1 km =  100000 centimeter 
Kilogram  Gram  
kg (short form)  gm  
1 kilogram =  1000 grams 
Litre  MilliLitre  
l (short form)  ml  
1 Litre =  1000 millilitre 
Now
1) Addition:
Addition of Kilometer units  Addition of Kilogram and Grams  Addition of Litre and MilliLitre  
Km  m  Kg  gm  Litre  ml  
200  13  1 1 1  1  1  1  
112  ^{59}  320  55  
+ 
189  74 
+ 
089  74 
+ 
102  65 
Answer =  389  87  Answer=  202  33  Answer =  423  20 
2) Subtraction:
Subtraction of Kilometer units  Subtraction of Kilogram and Grams  Subtraction of Litre and MilliLitre  
Km  m  Kg  gm  Litre  ml  
1 9 9  10 13  0 10 11  15  1 9  15  


^{59}  3 


 
189  74 
 
089  74 
 
102  65 
Answer =  010  39  Answer=  022  85  Answer =  217  90 
3) Multiplication:
Now multiplication sums are little bit difficult. Book does not show how to multiply with 2 digits as shown below. So we have shown easier method to do multiplication. The methods written below are shown in text book.
METHOD 1 
You have 200km and 83 mt multiply with 74
Step 1: MULTIPLY 200 and 83 separately.
Here you have to multiply 200 km x 74 separately = 14800 km
then multiply 83mt x 74 = 6142 meter which is 6km and 142 meter
Therefore answer = 14800 km +6 km and 142 meter
14806 km and 142 meter.
If you have 2 km and 8 meter and 105 cm multiply with 74 then procedure is same
MULTIPLY EACH UNIT SEPARATELY.
a) 2 x 74 = 148 km
b) 8 x 74 = 592 mt
c) 105 x 74 = 7770 cm which is 77 mt and 70 cm
Therefore adding it all up we get 148 km 592 mt + 77 mt and 70 cm
Answer: 148 km, 669 mt and 70 cm.
END OF METHOD 1 
METHOD 2
Let's multiply 2 km and 8 mt and 105 cm by 74
Second method is to convert everything into smallest unit that is in cm.
For example for 2 km and 8 mt and 105 cm if all converted into cm we get
2 km = 200000 cm
8mt = 800 cm
105 cm
Adding all up we get = 200000 + 800 + 105 = 200905 cm
When 200905 x 74 = 14866970 cm
which is 148 km 669 mt and 70 cm.
This answer is same as calculated above.
METHOD 2
COMMENT: Multiplication and Division sums for Money and Metric Measurements involve use of decimal system which is not yet taught in Grade 3. Once Decimal System is taught then they will be in better position to apply it for money and metric measurement chapters.
In this grade a thorough understanding of basic addition, subtraction, division and multiplication is required.
4) DIVISION OF METRIC MEASUREMENTS:
DIVISION AS SHOWN IN BOOK IS NOT CLEAR. Method described below is similar to text book except it is made
simple here.
We prefer the following method:
Suppose you want to divide 2 km and 8 mt and 105 cm by 74
Then convert everything to cm we get: 200905 cm
Simply divide 200905/74 we get = 2714 cm.
Which is 27 mt and 14 cm. Answer.
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