Friday, May 31, 2013

Measurement and Weight Conversions

Measurement And Weight

 Measurement helps to answer questions pertaining to the length of objects, materials. Now, if you have to buy electric wire, then you have to know the length required in acceptable units like meter  centimeter, yards   or any commonly known units and also you have to the conversion to metric or from metric to units acceptable to general public. Same holds true for weight problems.

Here is a conversion table to start with:
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                              Conversion table for length

  •    10 millimeter    = 1centimeter
  •    10 centimeter   = 1 decimeter
  •    10 decimeter    = 1 Meter
  •    1000 millimeter = 1 Meter
  •    100 centimeter  = 1 Meter
  •    10 meter          = 1 decameter
  •    10 Decameter   = 1 hectometer 
  •    10 hectometer  = 1 Kilometer
  •    1000 meter       = 1 Km 
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In Inches and yard

  •   1   Inch          = 2.54 cm
  •   12 Inches       = 1 foot  = 30.48 cm
  •   1 yard            = 3 feet  = 36 inches =  91.44 cm
  •   1760 yards     = 5280 feet =  1 mile
  •   1 mile            = 1609.344 meters = 1.609 km 
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                              Conversion table for weight

  • 10 milligram  =  1 centigram
  • 10 centigram  = 1 Decigram
  • 10 decigram   = 1 gram
  • 1000  milligram = 1 gram
  • 10 gram           = 1 decagram
  • 10 Decagram    = 1 hectogram
  • 10 hectogram   = 1 kilogram
  • 1000 gram       =  1 kg
  • 100   Kilogram  = 1 Quintal
  • 10   Quintal      =  1 Metric ton
  • 1000 kilogram   = 1 Metric Ton
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Solved Questions:

Q1.  500 cm + 50 m + 5 km = 
 (1). 555 m
 (2). 5055 m 
 (3). 55 m  
 (4). 500 m                                                    ( CTET-2012- paper I) 

Answer: (2) 
Explanation: We we don't need to do any calculation here.  By just looking at the  answer choices, we can solve it. First  we know that 1 km = 1000 m, therefore the answer should be in thousand meter and the only choice here in thousands is option (2) 5055 m.
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Q2.  To teach various units of length to the students of class III, a teacher shall take the following materials to the class:
(1). Rulers of different lengths and different units, measuring rod, measuring strip used by architects.
(2). Measuring tape with the centimeter on one side and meter on the other side
(3). Relation chart of various units
(4). Centimeter ruler and measuring tape             ( CTET-2012- paper I) 

Answer: (3). Relation chart of various units
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Q3. The weight of some mangoes is 2 kg 600 g and that of some apples is 1 kg 450 g. The weight of the mangoes is greater than that of the apples by

(1) 4 kg 50 g
(2) 1 kg 150 g
(3) 1 kg 200 g
(4) 150 g                                                          ( CTET-2011- paper I) 

Answer:(2) 1 kg 150 g
Explanation: Convert the mango's weight and apple's weight into grams, which will come out to be 2600 grams and 1450 grams. Now, subtract 1450 grams from 2600 grams to get 1150 grams and that will translate to 1 Kg 150 grams.
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Q4Sequence the following tasks as they are taken up while developing the concept of measurement :

a. Learners use standard units to measure length.
b. Learners use non-standard units to measure length.
c. Learners verify objects using simple observation.
d. Learners understand the relationship between metric units.  

(1) a, b, d, c
(2) b, a, c, d
(3) c, b, a, d
(4) d, a, c, b                                                       ( CTET-2011- paper I)

Answer: (3) c, b, a, d
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Q5. Which of the following is not correct:
(1) Area of square of the side 10cm = Area of rectangle of length 10 cm and breadth 0.1 m.
(2) 1 meter 5 cm = 1.50 m
(3) 0.40 is same as 0.4
(4) Rupee 3/4 = Rupee 0.75

Answer: (2) 1 meter 5 cm = 1.50 m

Solution:
Taking option (1): Area of square = 10 x10 = 100 sq. cm and area of rectangle = 10cm x 0.1 m = 10cm x 10cm = 100 sq. cm. Hence, correct. not the required answer.


Taking option (2): I meter 5 cm = 1 meter + 0.05 m = 1.05 m which is not equal to the value on the right i.e. 1.50cm. Hence false and is the required answer.

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