Measures of length
Measures of mass
Measures of capacity
Capacity is the amount a container can hold
Measures of volume
Volume is the measure of the space taken up by something.
Volume = Length (m) X Breadth (m) X Height (m)
Unit of volume is cubic length, i.e., cubic metre (m3), cubic centimetre (cm3), etc
Example 1: Express 1357.912 metres in higher units and lower units.
1357.912 metre
= 135.7912 decametres
= 13.57912 hectometres
= 1.357912 kilometres
= 13579.12 decimetres
= 135791.2 centimetres
= 1357912 millimetres
Note: Capacity and Volume are different. For example. the capacity of a cylinder is 33 litres while its volume is πR2H (R = radius, H = Height of the cylinder). That is. the amount of gas inside the cylinder is 33 litres but the volume occupied by the Cylinder is πR2H.
Example 2: Express 2 g 3 dg 4cg 5mg in terms of milligrams.
2g = 2000mg
3dg = 300mg
4cg = 40mg
2g 3dg 4cd 5mg = (2000 + 300 + 40 + 5) mg =2345mg
Measurements: Addition
Example 1: Add 2l 3dl 4cl 5ml & 6l 6dl 7cl 8ml
2l 3dl 4cl 5ml + 6l 6dl 7cl 8ml 9l 0dl 2cl 3ml [Ans]
Example 2: Express the above result in terms of ml.
2345ml + 6678ml 9023ml
Note: We cannot add or subtract two different quantities. For example, length (metre) cannot be added with mass (g), mass (g) cannot be added with volume (m3), and volume (m3) cannot be added with length (m)
Example 1: Subtract 3m3 4dm3 1cm3 5mm3 from 4m3 3dm3 2cm3 1mm3 .
Example 2: Express the above in mm3 and write the result.
Example 1: Divide 5kg 3m3 by 5m
= 1 kg 3m2
Temperature
Fahrenheit Scale: A temperature scale on which water freezes at 32 degrees Fahrenheit and boils at 212 degrees Fahrenheit.
Kelvin Scale: A temperature scale that defines absolute zero as 0 degrees. Water freezes at 273 degrees and boils at 373 degrees at this temperature. All objects emit thermal energy or heat unless they have a temperature of absolute zero.
Example 1: Convert 123 degrees Fahrenheit into Celsius and Kelvin.
Celsius = (F-32) x 5/9 = (123-32) x 5/9 = 50.55 degree Celsius Kelvin = Celsius + 273 = 50.55 + 273 = 323.55 K
Example 2: Convert 45 Celsius into Fahrenheit and kelvin.
Fahrenheit = (Celsius x 9/5) + 32 = (45 x 9/5) + 32 = 113 degrees Fahrenheit Kelvin = Celsius + Fahrenheit = 45+273 = 318 K
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1. How can large numbers be added using basic formulas? |
2. What is the process for subtracting large numbers using basic formulas? |
3. Can you explain how multiplication of large numbers is done using basic formulas? |
4. How do you divide large numbers using basic formulas? |
5. What are some tips for effectively performing operations on large numbers using basic formulas? |
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